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A discrete dynamics approach to interbank financial contagion IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20210426
John Leventides, Costas Poulios, Elias CamouzisThe purpose of this paper is to describe in terms of mathematical models and systems theory the dynamics of interbank financial contagion. Such a description gives rise to a model that can be studied with mathematical tools and will provide a new framework for the study of contagion dynamics complementary to research by simulation studied so far. It provides a better understanding of such financial

Random matrices and controllability of dynamical systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20210426
John Leventides, Nick Poulios, Costas PouliosWe introduce the concept of $\epsilon $uncontrollability for random linear systems, i.e. linear systems in which the usual matrices have been replaced by random matrices. We also estimate the $\varepsilon $uncontrollability in the case where the matrices come from the Gaussian orthogonal ensemble. Our proof utilizes tools from systems theory, probability theory and convex geometry.

The notion of almost zeros and randomness IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20210422
J Leventides, N Karcanias, N C PouliosWe investigate the problem of almost zeros of polynomial matrices as used in system theory. It is related to the controllability and observability notion of systems as well as the determination of Macmillan degree and complexity of systems. We also present some new results on this important invariant in the light of randomness and we prove an uncertainty type relation appearing in such ensembles of

H∞ estimation for nonlinear positive switched systems with timevarying delay IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20210412
Shuo Li, Yun Chen, Anke XueFor nonlinear positive switched systems (NPSSs) with timevarying delay, the $H_{\infty }$ estimation problem is addressed in this paper. Firstly, in light of TS fuzzy modeling method, the considered NPSS is equivalently transformed into a switched positive TS fuzzy system. Then, a less conservative $H_{\infty }$ performance co1ndition is provided for the error system via presenting a new piecewise

Approximate controllability of semilinear retarded stochastic differential system with noninstantaneous impulses: Fredholm theory approach IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20210318
K Anukiruthika, N Durga, P MuthukumarThis article deals with the approximate controllability of semilinear retarded integrodifferential equations with noninstantaneous impulses governed by Poisson jumps in Hilbert space. The existence of a mild solution is established by using stochastic calculus and a suitable fixed point technique. The approximate controllability of the proposed nonlinear stochastic differential system is obtained

Controllability of fractional noninstantaneous impulsive integrodifferential stochastic delay system IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20210311
J Priyadharsini, P BalasubramaniamThe paper concerned with the controllability of nonlinear fractional noninstantaneous (NI) impulsive integrodifferential stochastic delay system (ISDS). Some sufficient conditions for the controllability of fractional NI impulsive ISDS have been derived by the new approach of measure of noncompactness in finite dimensional space. This NI impulsive ISDS is more reliable for the evolution process in

An efficient approximate method for solving twodimensional fractional optimal control problems using generalized fractional order of Bernstein functions IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20201214
Ketabdari A, Farahi M, Effati S.AbstractWe define a new operational matrix of fractional derivative in the Caputo type and apply a spectral method to solve a twodimensional fractional optimal control problem (2DFOCP). To acquire this aim, first we expand the state and control variables based on the fractional order of Bernstein functions. Then we reduce the constraints of 2DFOCP to a system of algebraic equations through the operational

Do generalized drawdown times lead to better dividends? A Pontryagin principlebased answer IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20201214
Avram F, Goreac D.AbstractIn the context of maximizing cumulative dividends under barrier policies, generalized Azéma–Yor (drawdown) stopping times receive increasing attention during these past years. Based on Pontryagin’s maximality principle, we illustrate the necessity of such generalizations under the framework of spectrally negative Markov processes. Roughly speaking, starting from the explicit expression of

A partitioned finite element method for powerpreserving discretization of open systems of conservation laws IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20201228
Flávio Luiz CardosoRibeiro, Denis Matignon, Laurent LefèvreThis paper presents a structurepreserving spatial discretization method for distributed parameter portHamiltonian systems. The class of considered systems are hyperbolic systems of two conservation laws in arbitrary spatial dimension and geometries. For these systems, a partitioned finite element method (PFEM) is derived, based on the integration by parts of one of the two conservation laws written

On perturbation range in the feedback synthesis problem for a chain of integrators system IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20201219
Korobov V, Revina T.AbstractThe feedback synthesis problem for a chain of integrators system with continuous bounded unknown perturbation is considered. Our approach is based on the controllability function (CF) method proposed by V.I. Korobov. The perturbation range is determined by the negativity condition for the total derivative of the CF with respect to the perturbed system. The control that does not depend on perturbation

Solving multiobjective optimal control problems using an improved scalarization method IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20201012
Gholam Hosein Askarirobati, Akbar Hashemi Borzabadi, Aghileh HeydariDetecting the Pareto optimal points on the Pareto frontier is one of the most important topics in multiobjective optimal control problems (MOCPs). This paper presents a scalarization technique to construct an approximate Pareto frontier of MOCPs, using an improved normal boundary intersection (NBI) scalarization strategy. For this purpose, MOCP is first discretized and then using a grid of weights

Exponential stabilization of an ODE–linear KdV cascaded system with boundary input delay IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200923
Ayadi H.AbstractThis paper considers the well posedness and the exponential stabilization problems of a cascaded ordinary differential equation (ODE)–partial differential equation (PDE) system. The considered system is governed by a linear ODE and the onedimensional linear Korteweg–de Vries (KdV) equation posed on a bounded interval. For the whole system, a control input delay acts on the left boundary of

Feedback control based on discretetime state observations for stabilization of coupled regimeswitching jump diffusion with Markov switching topologies IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200818
Wu Y, Pi H, Li W.AbstractIn this paper, the stabilization of coupled regimeswitching jump diffusion with Markov switching topologies (CRJDM) is discussed. Particularly, we remove the restrictions that each of the switching subnetwork topologies is strongly connected or contains a directed spanning tree. Furthermore, a feedback control based on discretetime state observations is proposed to make the CRJDM asymptotically

Twenty years of distributed portHamiltonian systems: a literature review IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200728
Rashad R, Califano F, van der Schaft A, et al.AbstractThe portHamiltonian (pH) theory for distributed parameter systems has developed greatly in the past two decades. The theory has been successfully extended from finitedimensional to infinitedimensional systems through a lot of research efforts. This article collects the different research studies carried out for distributed pH systems. We classify over a hundred and fifty studies based on

Boundary feedback control of an antistable wave equation IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200728
APKARIAN P, NOLL D.AbstractWe discuss boundary control of a wave equation with a nonlinear antidamping boundary condition. We design structured finitedimensional $H_{\infty }$output feedback controllers that stabilize the infinitedimensional system exponentially in closed loop. The method is applied to control torsional vibrations in drilling systems with the goal to avoid slipstick.

PortHamiltonian model of twodimensional shallow water equations in moving containers IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200728
CardosoRibeiro F, Matignon D, PommierBudinger V.AbstractThe free surface motion in moving containers is an important physical phenomenon for many engineering applications. One way to model the free surface motion is by employing shallow water equations (SWEs). The portHamiltonian systems formulation is a powerful tool that can be used for modeling complex systems in a modular way. In this work, we extend previous work on SWEs using the portHamiltonian

Dirac structures and variational formulation of portDirac systems in nonequilibrium thermodynamics IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200727
GayBalmaz F, Yoshimura H.AbstractThe notion of implicit portLagrangian systems for nonholonomic mechanics was proposed in Yoshimura & Marsden (2006a, J. Geom. Phys., 57, 133–156; 2006b, J. Geom. Phys., 57, 209–250; 2006c, Proc. of the 17th International Symposium on Mathematical Theory of Networks and Systems, Kyoto) as a Lagrangian analogue of implicit portHamiltonian systems. Such portsystems have an interconnection structure

Optimal robustness of passive discretetime systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200714
Mehrmann V, Van Dooren P.AbstractWe study different representations of a given rational transfer function that represents a passive (or positive real) discretetime system. When the system is subject to perturbations, passivity or stability may be lost. To make the system robust, we use the freedom in the representation to characterize and construct optimally robust representations in the sense that the distance to nonpassivity

Multipath Allocation Scheduling Optimization Algorithm for Network Data Traffic Based on SDN Architecture IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200529
Lu L.AbstractThe explosive growth of network data traffic puts new demands on traffic scheduling. In this paper, the scheduling algorithm based on the softwaredefined network (SDN) architecture is studied. Firstly, the SDN architecture was introduced, then an SDNbased adaptive multipath load balancing algorithm was proposed and finally the algorithm was simulated on the Mininet simulation platform to

State feedback observerbased control design for linear descriptor systems with multiple timevarying delays IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200513
Phat V, Niamsup P, Muoi N.AbstractIn this paper, we propose an linear matrix inequality (LMI)based design method to observerbased control problem of linear descriptor systems with multiple timevarying delays. The delay function can be continuous and bounded but not necessarily differentiable. First, by introducing a new set of improved Lyapunov–Krasovskii functionals that avoid calculating the derivative of the delay function

An inverse optimal approach to ship coursekeeping control IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200414
Wang C, Yan C, Liu Z, et al.AbstractThis paper deals with the ship course tracking control problem in a novel inverse optimal control approach. The inverse optimal stabilization problem and inverse optimal gain assignment problem are firstly extended to general systems affine in the control with unknown control gain. It is shown that a sufficient condition to solve the inverse optimal control problem is the existence of a stabilization

New results on robust sliding mode control for linear timedelay systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20201208
Palraj J, Mathiyalagan K, Shi P.AbstractThis work focuses on the sliding mode control (SMC) for a family of linear systems with uncertainties and timevarying delays. First, an integral switching surface is constructed to verify the robust asymptotic stability of the considered system and the results are extended to analyse the mixed $\mathscr{H}_{\infty }\big /$Passivity performance index. Thereafter, a suitable SMC law is developed

Finitetime control of uncertain timevarying systems in pnormal form IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20201208
Rattanamongkhonkun K, Pongvuthithum R, Likasiri C.AbstractThis paper addresses a finitetime regulation problem for timevarying nonlinear systems in pnormal form. This class of timevarying systems includes a wellknown lowertriangular system and a chain of power integrator systems as special cases. No growth condition on timevarying uncertainties is imposed. The control law can guarantee that all closedloop trajectories are bounded and well

A class of optimal control problems governed by singular systems via Balakrishnan’s method IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20201203
Makreloufi A, Benharrat M.AbstractThe purpose of this paper is to discuss, by the use of the Balakrishnan’s epsilon method, a class of optimal control problems governed by continuous linear time invariant singular systems which have only a finite dynamic mode. The linear differential algebraic equation is handled using the epsilon technique to obtain a sequence of the calculus of variations problems. A convergence theorem is

A pseudospectrum based characterization of the robust strong Hinfinity norm of timedelay systems with realvalued and structured uncertainties IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20201124
Appeltans P, Michiels W.AbstractThis paper provides a mathematical characterization of the robust (strong) Hinfinity norm of an uncertain linear timeinvariant system with discrete delays in terms of the robust distance to instability of an associated characteristic matrix. The considered class of uncertainties consists of realvalued, structured, Frobenius normbounded matrix uncertainties that act on the coefficient matrices

Passivitybased control of islanded microgrids with unknown power loads IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20201012
AvilaBecerril S, EspinosaPérez G, Montoya O, et al.AbstractIn this paper, the control problem of microgrids (MGs)operating in islanded mode is approached from a passivitybased control perspective. A control scheme is proposed that, relying only on local measurements for the power converters included in the network representation, achieves both voltage regulation and power balance in the network through the generation of gridforming and gridfollowing

Bias reduction in the estimation of diffusion processes from discrete observations IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200911
Juan Carlos JimenezThis work deals with the bias reduction of approximations to two known estimators of diffusion processes from discrete observations: the innovation and quasimaximum likelihood estimators. The bias reduction is obtained by means of convergent approximations to the predictions for the first two moments of the innovation process associated to a continuousdiscrete filter of minimum variance. For finite

Errorbased output tracking for a onedimensional wave equation with harmonic type disturbance IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200813
Ziqing Tian, XiaoHui WuIn this paper, we consider output tracking for a onedimensional wave equation, where the boundary disturbances are either collocated or noncollocated with control. The regulated output and the control are supposed to be noncollocated with control, which represents a difficult case for output tracking of PDEs. We apply the trajectory planning approach to design an observer, in terms of tracking error

Robust finitetime H∞ control of switched nonlinear neutral systems in the presence of multiple disturbances using auxiliary matrices IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200721
Hadi Gholami, Mohammad Hossein ShafieiThis paper focuses on finitetime boundedness (FTB) of a class of switched nonlinear neutral systems in the presence of multiple disturbances. Based on Lyapunov analysis, Finsler’s lemma and the average dwelltime concept, sufficient conditions are extracted to guarantee the FTB of the system. Using these sufficient conditions, finitetime ${H}_{\infty }$ controllers are designed via state feedback

Corrigendum: An inverse optimal approach to ship coursekeeping control IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200520
Chuanrui Wang, Chuanxu Yan, Zhenchong Liu, Feng CaoAbstractThe model under consideration in this paper describes a vibrating structure of an interfacial slip and consists of three coupled hyperbolic equations in onedimensional bounded interval under mixed homogeneous Dirichlet–Neumann boundary conditions. The first two equations are related to Timoshenkotype systems and the third one is subject to the dynamics of the slip. The main problem we discuss

Robust integrated covariance intersection fusion Kalman estimators for networked mixed uncertain timevarying systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200513
Gao Y, Deng Z.AbstractFor the multisensor timevarying networked mixed uncertain systems with random onestep sensor delays and uncertainvariance multiplicative and linearly dependent additive white noises, a new augmented state method with fictitious noises is presented, by which the original system is transformed into a standard system without delays and with uncertainvariance fictitious white noises. According

Controllability results of fractional integrodifferential equation with noninstantaneous impulses on time scales IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200508
Kumar V, Malik M.AbstractIn this work, we investigate the controllability results of a fractional integrodifferential equation with noninstantaneous impulses on time scales. Banach contraction theorem and the nonlinear functional analysis have been used to establish these results. In support, a numerical example with simulation for different time scales is given to validate the obtained analytical outcomes.

Approximate controllability of second order nonlocal neutral differential evolution inclusions IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200416
Vijayakumar V, Udhayakumar R, Dineshkumar C.AbstractIn our manuscript, we organize a group of sufficient conditions of approximate controllability for second order nonlocal neutral differential evolution inclusions. Next, we develop the result to analyze approximate controllability of impulsive systems. Lastly, a model is presented for illustration of theory.

H∞ output tracking bumpless transfer control for switched linear systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200414
Zhao Y, Zhao J.AbstractThis study concentrates on the problem of $H_\infty $ output tracking bumpless transfer control for a category of switched linear systems (SLSs). The $H_\infty $ output tracking bumpless transfer control problem is to ensure the SLSs to satisfy the bumpless transfer performance and the $H_\infty $ output tracking properties by codesign of a switching rule and a series of controllers. Firstly

Chattering of proxybased sliding mode control in the presence of parasitic dynamics IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200414
Kikuuwe R, Prieto P, LópezRentería J.AbstractThis paper reports an analysis on proxybased sliding mode control (PSMC), which is a controller proposed by Kikuuwe & Fujimoto (2006, Proceedings of the 2006 IEEE International Conference on Robotics and Automation, pp. 25–30) originally for position control of robot manipulators. The describing function method is employed to investigate the chattering behavior of PSMC combined with a simple

Positive observers for linear positive systems in a Hilbert lattice space IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200413
Binid A, Elarbi Achhab M, Laabissi M.AbstractIn this work, we investigate the question of designing a positive observer for a class of infinite dimensional linear positive systems. We present a new observer design based on a classical Luenbergerlike observer. The proposed observer is positive. That is, it ensures that the state estimates are nonnegative at any time. The existence of such positive observers is proven by a specific choice

Robust exponential synchronization of a Markovian jump complex dynamical network with piecewise homogeneous Markovian parameters IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200407
Nasim Akbari, Ali Sadr, Ali KazemyThis paper establishes a stochastic synchronization method for a Markovian jump complex dynamical network (MJCDN) with timedelay and uncertainties. The considered Markovian structure is piecewisehomogeneous with piecewiseconstant timevarying transition rates (TRs). Two Markovian signals are utilized to construct the piecewisehomogeneous Markovian structure. A lowlevel Markovian signal with timevarying

Observerbased output feedback control design for a coupled system of fractional ordinary and reaction–diffusion equations IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200316
Amiri S, Keyanpour M, Asaraii A.AbstractIn this paper, we investigate the stabilization problem of a cascade of a fractional ordinary differential equation (FODE) and a fractional reaction–diffusion (FRD) equation where the interconnections are of Neumann type. We exploit the partial differential equation backstepping method for designing a controller, which guarantees the Mittag–Leffler stability of the FODEFRD cascade. Moreover

Robust stabilization of nonlinear nonautonomous control systems with periodic linear approximation IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200316
Slyn’ko V, Tunç C, Bivziuk V.AbstractThe paper deals with the problem of stabilizing the equilibrium states of a family of nonlinear nonautonomous systems. It is assumed that the nominal system is a linear controlled system with periodic coefficients. For the nominal controlled system, a new method for constructing a Lyapunov function in the quadratic form with a variable matrix is proposed. This matrix is defined as an approximate

A weak maximum principle for optimal control problems with mixed constraints under a constant rank condition IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200205
Roberto Andreani, Valeriano Antunes de Oliveira, Jamielli Tomaz Pereira, Geraldo Nunes SilvaNecessary optimality conditions for optimal control problems with mixed statecontrol equality constraints are obtained. The necessary conditions are given in the form of a weak maximum principle and are obtained under (i) a new regularity condition for problems with mixed linear equality constraints and (ii) a constant rank type condition for the general nonlinear case. Some instances of problems

Iterativelearning procedures for nonlinearmodelorder reduction in discrete time IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191211
Salim IbrirEfficient numerical procedures are developed for modelorder reduction of a class of discretetime nonlinear systems. Based on the solution of a set of linearmatrix inequalities, the Petrov–Galerkin projection concept is utilized to set up the structure of the reducedorder nonlinear model that preserves the inputtostate stability while ensuring an acceptable approximation error. The first numerical

Cooperative optimal control for descriptor multiagent systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191204
Liping Zhang, Guoshan ZhangThis paper provides a theory analysis of cooperative optimal control problem for leaderfollower descriptor multiagent systems. Based on the linear quadratic regulator theory, the state feedback controller is designed to guarantee the consensus of multiagent systems and minimize a local performance index, which is independent of the graph topology, the control gain matrix is obtained by solving a

Eventtriggered Hꝏ control for NCS with timedelay and packet losses IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191203
Jing Bai, Ying Wang, LiYing ZhaoThis paper is concerned with the discrete eventtriggered dynamic outputfeedback ${H}_{\infty }$ control problem for the uncertain networked control system, where the timevarying sampling, networkinduced delay and packet losses are taken into account simultaneously. The random packet losses are described via the Bernoulli distribution. And then, the closedloop system is modelled as an augmented

Asymptotic stabilization for a wave equation with periodic disturbance IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191128
Jing Wei, Hongyinping Feng, BaoZhu GuoIn this paper, we consider boundary stabilization for a onedimensional wave equation subject to periodic disturbance. By regarding the periodic signal as a boundary output of a free wave equation, we transform the controlled plant into a coupled wave system. We first design a state observer for the coupled system to estimate the disturbance and the system state simultaneously. An output feedback control

Control of bounded solutions for firstorder singular differential equations with impulses IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191118
Fanchao Kong, Juan J NietoThis paper is concerned with a kind of firstorder singular differential system with impulses. Based on the Schaefer fixedpoint theorem, some new verifiable algebraic criteria are given to ensure the controllability of bounded solutions for the considered system. The results obtained in this paper not only achieve the controllability of the singular differential system with impulses for the first

Robust regional stabilization for the twodimensional mixed continuousdiscretetime Roesser models IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191114
Xiang Ren, Fei HaoThis paper addressed the problem of asymptotic regional stabilization of a class of twodimensional mixed Roesser models. Based on the analysis of the polynomial solution of the parameter dependent linear matrix inequality (LMI), the sufficient condition for the existence of the regional stabilization controller is obtained in terms of LMI. Moreover, the robust controller is also given to stabilize

Input–output linearization of nonlinear timevarying delay systems: the singleinput singleoutput case IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191114
Ihab Haidar, Florentina Nicolau, JeanPierre Barbot, Woihida AggouneThis paper deals with the input–output linearization of nonlinear timevarying delay systems. We introduce an extension of the Lie derivative for timevarying delay systems and derive sufficient conditions for the existence of a causal and bounded nonlinear feedback linearizing the input–output behaviour of the system. Sufficient conditions ensuring the internal stability after output stabilization

Finitetime stabilization of stochastic coupled systems on networks by feedback control and its application IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191107
Yongbao Wu, Wenxue Li, Jiqiang FengIn this paper, the finitetime stabilization of stochastic coupled systems on networks (SCSNs) is studied. Different from previous research methods, the method used in this paper combines Lyapunov method with graph theory, and some novel sufficient conditions are obtained to ensure finitetime stability for SCSNs. Meanwhile, the convergence time is closely related to topological structure in networks

Datasampling controllability of multiagent systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191015
Bin Zhao, Yongqiang GuanIn this paper, we consider datasampling controllability of multiagent systems (MASs), where the interconnection topology is directed and weighted and the nodes have generic linear kinetic dynamics. First, the asynchronous data sampling protocols and synchronous data sampling protocols are proposed, respectively. Then the discussions focus on deriving the necessary and sufficient conditions for datasampling

Controllability criteria of fractional differential dynamical systems with noninstantaneous impulses IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191015
B Sundara Vadivoo, R Raja, Jinde Cao, G Rajchakit, Aly R SeadawyThis manuscript prospects the controllability criteria of noninstantaneous impulsive Volterra type fractional differential systems. By enroling an appropriate Gramian matrix that is often defined by the MittagLeffler function and with the assistance of Laplace transform, the necessary and sufficiency conditions for the controllability of noninstantaneous impulsive Volterratype fractional differential

Finitetime terminal synergetic control of a class of nonlinear systems with unmatched uncertainties IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191010
Azadeh Ahifar, Abolfazl Ranjbar Noei, Zahra RahmaniIn this paper, the problem of finitetime tracking for nthorder uncertain nonlinear systems with unmatched uncertainties is addressed. Using a terminal synergetic manifold, a controller is provided to force the tracking error to the origin in finite time in the presence of unmatched uncertainties. With this method, chattering problem is completely removed without defining a new function. Lyapunov

Boundary output feedback stabilization of transport equation with nonlocal term IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190905
Liping Wang, FengFei JinIn this paper, we are concerned with boundary output feedback stabilization of a transport equation with nonlocal term. First, a boundary state feedback controller is designed by a backstepping approach. The closedloop system is proved to be exponentially stable by the equivalence between original and target system. Then, we design an output feedback controller based on an infinitedimensional observer

On the exact modelling of linear systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190829
Georgia G Pechlivanidou, Nicholas P KarampetakisIt is well known that given the continuoustime AutoRegressive representation $A\left ( \rho \right ) \beta \left ( t\right ) =0,$ where $\rho $ denotes the differential operator and $A\left ( \rho \right ) $ a regular polynomial matrix, we can always construct the smooth behaviour of this system, by using the finite zero structure of $A\left ( \rho \right ) $. The main theme of this work

Stochastic boundedness of state trajectories of stable LTI systems in the presence of nonvanishing stochastic perturbation IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190827
Peyman Azodi, Peyman Setoodeh, Alireza Khayatian, Elham JamaliniaThis paper studies stochastic boundedness of trajectories of a nonvanishing stochastically perturbed stable linear timeinvariant system. First, two definitions on stochastic boundedness are presented, then, the boundedness is analyzed via Lyapunov theory. A theorem is proposed, which shows that under a condition on the Lipchitz constant of the perturbation kernel, the trajectories remain stochastically

Dynamic backstepping control for purefeedback nonlinear systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190814
Sheng Zhang, EnMi Yong, Yu Zhou, WeiQi QianA dynamic backstepping control method is proposed for nonlinear systems in the purefeedback form, for which the traditional backstepping method suffers from solving the implicit nonlinear algebraic equation. This method treats the implicit algebraic equation directly via a dynamic way, by augmenting the (virtual) controls as states during each recursive step. Compared with the traditional backstepping

Multidimensional Taylor network modelling and optimal control of SISO nonlinear systems for tracking by output feedback IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190719
QiMing Sun, HongSen YanIn this paper, a multidimensional Taylor network (MTN) output feedback tracking control of nonlinear singleinput singleoutput (SISO) systems in discretetime form is studied. To date, neural networks are generally used to identify unknown nonlinear systems. However, the neuron of neural networks includes the exponential function, which contributes to the complexity of calculation, making the neural

Asynchronous repetitive control of switched systems via periodic eventbased dynamic output feedback IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190711
Guoqi Ma, Xinghua Liu, Prabhakar R Pagilla, Shuzhi Sam GeThis paper develops an asynchronous modedependent repetitive control strategy with periodic eventbased dynamic output feedback for periodic trajectory tracking of continuoustime switched systems subject to timevarying switching delays between system modes and controllers and limited communication capacity in the feedback channel. By employing the input delay approach, the overall system is modelled

Secondorder consensus of multiagent systems with mixed delays and uncertain parameters via adaptive pinning aperiodically intermittent control IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190704
Boling Zhou, Yongqing Yang, Xianyun XuThis paper investigates the secondorder consensus of multiagent systems with mixed delays and uncertain parameters. On one hand, an adaptive pinning aperiodically intermittent control protocol is designed to make multiagent systems reach the secondorder consensus. Moreover, the intermittent control protocol can be designed to be aperiodic, which means each agent can only obtain the relative states’

Linear algebrabased controller for trajectory tracking in mobile robots with additive uncertainties estimation IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190521
G J E Scaglia, M E Serrano, S A Godoy, F RossomandoThis paper addresses trajectory tracking problem in mobile robots considering additive uncertainties. The controller design method is based on linear algebra theory. Numerical estimation techniques are used to estimate the uncertainty value in each sample time. The controller is calibrated by stochastic way using the Monte Carlo Experiment. In addition, the proof of convergence to zero of the tracking

An implicit class of continuous dynamical system with datasample outputs: a robust approach IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190521
Raymundo Juarez, Vadim Azhmyakov, A Tadeo Espinoza, Francisco G SalasThis paper addresses the problem of robust control for a class of nonlinear dynamical systems in the continuous time domain. We deal with nonlinear models described by differentialalgebraic equations (DAEs) in the presence of bounded uncertainties. The full model of the control system under consideration is completed by linear samplingtype outputs. The linear feedback control design proposed in this