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A setvalued approach applied to a control problem of tuberculosis with treatment IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20210710
Boujallal L, Balatif O, Elhia M.AbstractThe objective of this paper is to propose a setvalued approach to handle the control problem of tuberculosis (TB) infection model with treatment. The governed model consists of four ordinary differential equations, namely, susceptible, latent, infected and treated individuals. The infectious TB groups are decreased to zero by using a Lyapunov function in the sense of viability theory. The

Observer analysis and design for nonlinear bounded Lipschitz systems IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20210705
Antonio T Alexandridis, Panos C PapageorgiouThe design of dynamic observers for nonlinear Lipschitz systems has considered great attention in past decades. Instead of applying the standard strictly explicit designs or LMIbased heuristic solutions, in this paper, an efficient systematic method is deployed by considering the existence of some arbitrary bounds on the nonlinear Lipschitz terms. The method enables to relax the observer design from

Neural network adaptive output regulation for nonlinear uncertain systems with fullstate constraints IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20210625
Fujin Jia, Junwei Lu, Yongmin LiIn this paper, we study the output regulation problem (ORP) of nonlinear systems with fullstate constraints (FSC). First, in order to deal with the ORP of nonlinear systems with FSC, a radical constraint function is proposed to avoid the drawbacks of the barrier Lyapunov functions (BLF) and the logarithmic constraint functions. Then, a control algorithm is proposed based on neural network control

Universal adaptive stabilization for a class of multivariable Markovian jump linear systems with partially unknown transition rates IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20210623
Driss Berdouzi, Kamal El Hadri, Abdelmoula El BouhtouriIn this paper, the problem of universal adaptive stabilization is investigated for a class of multiinput multioutput Markovian jump linear systems (MJLSs) with partially unknown transition rates (TRs). The class of systems that we are considering is characterized only by some structural assumptions. Firstly, we show the highgain stochastic stabilizability, that is, any system belonging to this class

Controllability of fractional neutral functional differential equations with infinite delay driven by fractional Brownian motion IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20210611
Moustapha Dieye, El Hassan Lakhel, Mark A McKibbenIn this work, we establish a controllability result for a class of fractional neutral stochastic functional differential equations with infinite delay driven by fractional Brownian motion. To attain our objective we adapt the argument of Lakhel & McKibben (2018, Stochastics 90, no. 3, 313–329) where the existence of mild solutions to such stochastic equations was studied. An example is provided to

Optimal boundary control of SaintVenant equations with arbitrary friction and spacevarying slope IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20210603
YangYang Wang, Bing SunThis paper is concerned with the optimal boundary control for the onedimensional SaintVenant equations with arbitrary friction and spacevarying slope. By the Dubovitskii and Milyutin functional analytical approach, the Pontryagin maximum principles of the optimal control systems equipped with two boundary control variables are investigated and the firstorder necessary optimality conditions are

Analytical redundancy relationship generation on a progressive horizon for fault diagnosis of a labelled Petri net IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20210603
Amira ChouchaneIn this article, a diagnosis approach for partially observed labelled Petri nets is developed based on building a set of analytical redundancy relationships on a progressive horizon. A nominal model is used for fault detection based on a set of relationships linking the known data of the nominal behaviour. A fault model is used for fault isolation by establishing a set of relationships for each fault

H∞ estimation for nonlinear positive switched systems with timevarying delay IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20210412
Li S, Chen Y, Xue A.AbstractFor 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

On the efficiency of type I censored samples IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20210409
Omar A Kittaneh, Heba Almorad,, Sara Helal, M A MajidThe paper revisits the entropybased efficiency of the typeI censored sample, which was addressed by several previous works. The main purpose of this work is to provide a comprehensive definition of the efficiency function and give a general proof that the entropy of a censored sample is always less than that of the complete sample for any probability distribution and at any point of censoring. A

Asynchronous quadratic control for constrained hidden markov jump linear systems with incomplete MTPM and MOCPM IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20210407
Jin Zhu, Kai Xia, Geir E DullerudThis paper investigates the quadratic optimal control problem for constrained Markov jump linear systems with incomplete mode transition probability matrix (MTPM). Considering original system mode is not accessible, observed mode is utilized for asynchronous controller design where mode observation conditional probability matrix (MOCPM), which characterizes the emission between original modes and observed

Optimal control problem for fractional stochastic delayed systems with noninstantaneous impulses IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20210525
Surendra Kumar, Anjali UpadhyayThis article investigates the existence of a solution for a class of fractional delayed stochastic differential equations with noninstantaneous impulses and fractional Brownian motion (fBm). Utilizing the theory of fractional calculus, stochastic integrals for fBm and fixedpoint technique, we obtain the solvability result for the considered system. Next, we formulate a fractional stochastic optimal

H∞ Optimal control of jump systems over multiple lossy communication channels IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20210517
Abhijit Mazumdar, Srinivasan Krishnaswamy, Somanath MajhiIn this paper, the $H_{\infty }$ optimal control problem for a Markovian jump linear system (MJLS) over multiple lossy communication channels is considered. It is assumed that the controller communicates with each actuator through a different communication channel. We solve the $H_{\infty }$ optimization problem for the system with a Transmission Control Protocol (TCP) using the theory of dynamic

Stability analysis of quasi onesided Lipschitz nonlinear multiagent system via sampled data control subject to directed switching topology IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20210510
M Syed Ali, R Agalya, Banadana Priya, Ganesh Kumar Thakur, Vineet ShekherThis paper is concerned with the problem of stability and consensus of nonlinear multiagent system by utilizing the sampleddata control. The innovative part of this paper is that the nonlinearity of this class of nonlinear systems is considered to satisfy a quasi onesided Lipschitz condition. Communication among agents are assumed to be a switching directed graph. The principle target of this paper

A discrete dynamics approach to interbank financial contagion IMA J. Math. Control Inf. (IF 1.555) 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 1.555) 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 1.555) 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

Approximate controllability of semilinear retarded stochastic differential system with noninstantaneous impulses: Fredholm theory approach IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20210318
Anukiruthika K, Durga N, Muthukumar P.AbstractThis 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

Controllability of fractional noninstantaneous impulsive integrodifferential stochastic delay system IMA J. Math. Control Inf. (IF 1.555) 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

Frequencyweighted ℌ2pseudooptimal model order reduction IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20210302
Umair Zulfiqar, Victor Sreeram, Mian Ilyas Ahmad, Xin DuThe frequencyweighted model order reduction techniques are used to find a lowerorder approximation of the highorder system that exhibits highfidelity within the frequency region emphasized by the frequency weights. In this paper, we investigate the frequencyweighted $\mathcal{H}_2$pseudooptimal model order reduction problem wherein a subset of the optimality conditions for the local optimum

An efficient approximate method for solving twodimensional fractional optimal control problems using generalized fractional order of Bernstein functions IMA J. Math. Control Inf. (IF 1.555) 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 1.555) 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

The global finitetime synchronization of a class of chaotic systems via the variablesubstitution and feedback control IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20210213
Yun Chen, Yanyi Xu, Qian LinThis paper deals with the global finitetime synchronization of a class of thirdorder chaotic systems with some intersecting nonlinearities, which cover many famous chaotic systems. First, a simple, continuous and dimensionreducible control by the name of the variablesubstitution and feedback control is designed to construct a master–slave finitetime synchronization scheme. Then, a global finitetime

Indefinite derivative for stability of timevarying nonlinear systems IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20210203
Nizar Hadj TaiebThis paper is concerned with stability analysis of nonlinear timevarying systems by using Lyapunov function based approach. The classical Lyapunov stability theorems are generalized in the sense that the timederivative of the Lyapunov functions are allowed to be indefinite. Then, under quite general assumptions, we first present a new converse stability theorem for a large class of timevarying systems

A partitioned finite element method for powerpreserving discretization of open systems of conservation laws IMA J. Math. Control Inf. (IF 1.555) 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 1.555) 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 1.555) 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 1.555) 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 1.555) 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 1.555) 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 1.555) 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 1.555) 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 1.555) 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 1.555) 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 1.555) 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 1.555) 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 1.555) 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

Energybased fluid–structure model of the vocal folds IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20201208
Mora L, Ramirez H, Yuz J, et al.AbstractLumped elements models of vocal folds are relevant research tools that can enhance the understanding of the pathophysiology of many voice disorders. In this paper, we use the portHamiltonian framework to obtain an energybased model for the fluid–structure interactions between the vocal folds and the airflow in the glottis. The vocal fold behavior is represented by a threemass model and the

New results on robust sliding mode control for linear timedelay systems IMA J. Math. Control Inf. (IF 1.555) 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 1.555) 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 1.555) 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 1.555) 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

Geometric decomposition, potentialbased representation and integrability of nonlinear systems IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20201119
Guay M, Hudon N, Höffner K.AbstractThis paper considers the problem of representing a sufficiently smooth nonlinear dynamical [system] as a structured potentialdriven system. The proposed method is based on a decomposition of a differential oneform associated to a given vector field into its exact and antiexact components, and into its co exact and anticoexact components. The decomposition method, based on the Hodge decomposition

Stability of delayed switched systems via Razumikhin technique and application to switched neural networks IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20201116
Dihua Sun, Chao Liu, Zheng Yang, Xiaoyang Liu, Hongyu Yang, Junjian HuangThis paper investigates the globally exponential stability of delayed switched systems via Razumikhin technique. According to modedependent dwell average time and multiple Lyapunov functions, new Razumikhintype stability results are deduced. In contrast to the existing Rzumikhintype results, the proposed ones are less conservative. In order to demonstrate the applicability, some stability and stabilization

Structurepreserving discretization and control of a twodimensional vibroacoustic tube IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20201109
Ning Liu, Yongxin Wu, Yann Le Gorrec, Hector Ramirez, Laurent LefèvreThis paper deals with the structurepreserving discretization and control of a twodimensional vibroacoustic tube using the portHamiltonian framework. A discretization scheme is proposed, and a set of precise basis functions are given in order to obtain a structurepreserving finitedimensional port Hamiltonian approximation of the twodimensional vibroacoustic system. Using the closedloop structural

Approximate controllability of noninstantaneous impulsive semilinear measure driven control system with infinite delay via fundamental solution IMA J. Math. Control Inf. (IF 1.555) Pub Date : 20201014
Kumar S, Mohammad Abdal S.AbstractThis article investigates a new class of noninstantaneous impulsive measure driven control systems with infinite delay. The considered system covers a large class of the hybrid system without any restriction on their Zeno behavior. The concept of measure differential equations is more general as compared to the ordinary impulsive differential equations; consequently, the discussed results

Passivitybased control of islanded microgrids with unknown power loads IMA J. Math. Control Inf. (IF 1.555) 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 1.555) 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 1.555) 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 1.555) 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 1.555) Pub Date : 20200520
Chuanrui Wang, Chuanxu Yan, Zhenchong Liu, Feng CaoThe originally published version of this article listed the names of the authors in the following order, “Chuanrui Wang, Zhenchong Liu, Feng Cao, Chuanxu Yan”. The correct order was intended to be, “Chuanrui Wang, Chuanxu Yan, Zhenchong Liu, Feng Cao”.

Robust integrated covariance intersection fusion Kalman estimators for networked mixed uncertain timevarying systems IMA J. Math. Control Inf. (IF 1.555) 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 1.555) 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 1.555) 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 1.555) 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 1.555) 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 1.555) 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 1.555) 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 1.555) 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 1.555) 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 1.555) 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