The port-Hamiltonian (pH) theory for distributed parameter systems has developed greatly in the past two decades. The theory has been successfully extended from finite-dimensional to infinite-dimensional 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 different

We discuss boundary control of a wave equation with a non-linear anti-damping boundary condition. We design structured finite-dimensional |$H_{\infty }$|-output feedback controllers that stabilize the infinite-dimensional system exponentially in closed loop. The method is applied to control torsional vibrations in drilling systems with the goal to avoid slip-stick.

The 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 port-Hamiltonian 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 port-Hamiltonian

The notion of implicit port-Lagrangian 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 port-Hamiltonian systems. Such port-systems have an interconnection structure

This paper focuses on finite-time boundedness (FTB) of a class of switched non-linear neutral systems in the presence of multiple disturbances. Based on Lyapunov analysis, Finsler’s lemma and the average dwell-time concept, sufficient conditions are extracted to guarantee the FTB of the system. Using these sufficient conditions, finite-time |${H}_{\infty }$| controllers are designed via state feedback

We study different representations of a given rational transfer function that represents a passive (or positive real) discrete-time 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 non-passivity is

The explosive growth of network data traffic puts new demands on traffic scheduling. In this paper, the scheduling algorithm based on the software-defined network (SDN) architecture is studied. Firstly, the SDN architecture was introduced, then an SDN-based adaptive multi-path load balancing algorithm was proposed and finally the algorithm was simulated on the Mininet simulation platform to compare

AbstractThe model under consideration in this paper describes a vibrating structure of an interfacial slip and consists of three coupled hyperbolic equations in one-dimensional bounded interval under mixed homogeneous Dirichlet–Neumann boundary conditions. The first two equations are related to Timoshenko-type systems and the third one is subject to the dynamics of the slip. The main problem we discuss

In this paper, we propose an linear matrix inequality (LMI)-based design method to observer-based control problem of linear descriptor systems with multiple time-varying 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, we

For the multisensor time-varying networked mixed uncertain systems with random one-step sensor delays and uncertain-variance 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 uncertain-variance fictitious white noises. According to the

In this work, we investigate the controllability results of a fractional integro-differential equation with non-instantaneous impulses on time scales. Banach contraction theorem and the non-linear 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.

In 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.

This 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

A dynamic backstepping control method is proposed for non-linear systems in the pure-feedback form, for which the traditional backstepping method suffers from solving the implicit non-linear 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

This paper develops an asynchronous mode-dependent repetitive control strategy with periodic event-based dynamic output feedback for periodic trajectory tracking of continuous-time switched systems subject to time-varying 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

This paper investigates the second-order consensus of multi-agent systems with mixed delays and uncertain parameters. On one hand, an adaptive pinning aperiodically intermittent control protocol is designed to make multi-agent systems reach the second-order consensus. Moreover, the intermittent control protocol can be designed to be aperiodic, which means each agent can only obtain the relative states’

This 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

This 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 differential-algebraic equations (DAEs) in the presence of bounded uncertainties. The full model of the control system under consideration is completed by linear sampling-type outputs. The linear feedback control design proposed in this

This paper presents a method based on a continuity argument for analysing the delay robustness of nonlinear control systems with uncertainties. In particular, a delay-dependent stability condition is established in the form of a norm inequality for an adaptive control system with a time delay in the control input. The continuous dependence of the condition on the delay is derived via the uniform continuity

In this paper, the iterative learning control technique is applied for singular multi-agent systems to perform consensus tracking. Here, the communication among the followers is described by a directed graph, and only a portion of the followers can receive the leader’s information. Based on the equivalent restrict decomposition form of singular agents, a unified distributed learning algorithm is proposed

The efficient control of nonlinear processes is generally considered to be challenging. The development of digital computers promotes the study of nonlinear process control technology. Due to the discrete sampling of digital computer, it is necessary to develop the corresponding control algorithms for nonlinear processes. In this paper, a new equivalent control-based discrete-time sliding mode control

This paper proposes an efficient adaptive control parameterization method for solving optimal control problems. In this method, mesh density functions are used to generate mesh points. In the first step, the problem is solved by control parameterization on uniform mesh points. Then at each step, the approximate control obtained from the previous step is applied to construct a mesh density function

This paper is devoted to the state and input estimation of a linear time varying system in the presence of an unknown input (UI) in both state and measurement equations, and affected by Gaussian noises. The classical rank condition used in this kind of approach is relaxed in order to be able to be used in a wider range of systems. A state observer, that is an unbiased estimator with minimum error variance

This paper discusses dynamic feedback compensator design for a linear parabolic partial differential equation (PDE) with multiple inputs and multiple outputs. Actuating control inputs are provided by actuators distributed over partial areas (or active at specified positions) of the spatial domain, and observation outputs are taken from the non-collocated sensors distributed over partial areas of the

In this paper, the constrained controllability of the second order retarded nonlinear systems with nonlocal condition has been established by using the theory of cosine families and the generalized open mapping theorem. A new set of sufficient conditions for the constrained controllability of retarded nonlinear systems is established under the assumption that the associated linear system is controllable

In this paper, the problem of mixed |${H}_2$| and passive switching control of uncertain discrete time-delay switched systems is investigated via a switching signal selection. Lyapunov theory with Wirtinger inequality is applied to guarantee the mixed performance for discrete switched time-delay system. The used Linear Matrix Inequality variables are less than our past proposed results. Finally, the

Stability and stabilization for linear state feedback control systems in the presence of sensor quantization are studied. As the closed-loop system is described by a discontinuous right-hand side differential equation, Krasovskii solutions (to the closed-loop system) are considered. Sufficient conditions in the form of matrix inequalities are proposed to characterize uniform global asymptotic stability

Investigating the possibility of applying techniques from linear systems theory to the setting of non-linear systems has been the focus of many papers. The pseudo-linear (PL) form representation of non-linear dynamical systems has led to the concept of non-linear eigenvalues (NEValues) and non-linear eigenvectors (NEVectors). When the NEVectors do not depend on the state vector of the system, then

Recently, a mesh refinement strategy is presented on pseudospectral methods for solving optimal control problems by using the relative curvature of the state approximation to choose the type of discretization change in each iteration. Nevertheless, this criterion requires a large amount of computational cost in terms of CPU time. The main goal of this paper is to draw attention to select a suitable

The model under consideration in this paper describes a vibrating structure of an interfacial slip and consists of three coupled hyperbolic equations in one-dimensional bounded interval under mixed homogeneous Dirichlet–Neumann boundary conditions. The first two equations are related to Timoshenko-type systems and the third one is subject to the dynamics of the slip. The main problem we discuss here

In this paper, we establish the stability and controllability results for a Volterra integro-dynamic system with non-instantaneous impulses on time scales. Banach fixed point theorem has been used to establish these results. In the last section, a numerical example is given to illustrate the effectiveness of the analytic results.

In this paper, we establish a separation principle in the practical sense for a class of time-varying perturbed systems satisfying some relaxed condition. Under a restriction on the term of perturbation that is bounded by the sum of a Holder continuous function and a Lipschitz function, we propose a non-linear time-varying practical observer to estimate the system states, a practical state feedback

This paper addresses the boundary stabilization problem of a Timoshenko beam system with a tip mass under the external disturbance at the control end. Applying the idea of active disturbance rejection control, time-varying high-gain observers are designed to estimate the disturbances, and continuous anti-disturbances feedback controllers are developed. By choosing a suitable time-varying function,

A system of |$N$| Korteweg–de Vries equations coupled by the boundary conditions is considered in this paper. The configuration studied here is the one called star-shaped network, where the boundary inputs can act on a central node and on the |$N$| external nodes. In the literature, there is a recent result proving the exact controllability of this system by using |$(N+1)$| controls. We succeed to

In this paper, a novel model predictive control (MPC) strategy is proposed for a constrained and unconstrained linearized system. Contrary to conventional MPC algorithm, which uses only predicted information, this strategy uses both predicted data and past knowledge of the process to obtain control input. In fact, at each sampling instant, the combination of all elements of control sequence with weighting

In recently proposed stabilization techniques for parabolic equations, a crucial role is played by a suitable sequence of oblique projections in Hilbert spaces, onto the linear span of a suitable set of |$M$| actuators, and along the subspace orthogonal to the space spanned by ‘the’ first |$M$| eigenfunctions of the Laplacian operator. This new approach uses an explicit feedback law, which is stabilizing

This paper addresses the problem of solving a class of optimal control problems (OCPs) with infinite-dimensional linear state constraints involving Riesz-spectral operators. Each instance within this class has time/control-dependent polynomial Lagrangian cost and control constraints described by polynomials. We first perform a state-mode discretization of the Riesz-spectral operator. Then we approximate

Real-order generalization of dissipativeness and passivity concepts are presented in this paper. They are characterized as properties of a system; that is, they are independent of the system’s internal representation and independent of the type of fractional derivative defining that representation. With the aid of these extended concepts, the stability analysis of linearly interconnected multi-order

In this paper, we consider boundary feedback stabilization for an Orr–Sommerfeld equation cascaded by both the Squire equation and ordinary differential equations (ODE). In the system under consideration, there are two boundary control inputs subject to matched disturbance. By the active disturbance rejection control approach, two boundary disturbances are estimated by means of two disturbance estimators

In this paper, a framework for designing an event-based sliding mode controller is proposed to track a time-varying reference signal by a single-input, single-output non-linear system. In the proposed method, the control updates are fulfilled using the event-triggered method to decrease the number of control signal updates significantly. The system disturbance is tackled using an sliding mode control

This paper investigates the stabilization of nonlinear systems via event-based impulsive control. By using the Lyapunov–Krasovkii functional, related inequality techniques and combining with the linear matrix inequalities (LMI) approach, some sufficient conditions for the stabilization of nonlinear systems are established. Also, the method is applied to synchronize a class of Chua’s circuit systems

Many integrated electrical circuits and networks comprise of large RLC ladders. These complex circuits are described by high-order positive-real transfer functions. To simplify the design and analysis of these complex systems, model reduction techniques are used. It is of critical importance that the positive-real structure of the transfer function is retained in the reduction process. Moreover, it

The goal of this paper is to study feedback stabilization of infinite semi-linear parabolic systems evolving on a spatial domain |$\Omega $|⁠. We consider a decomposition of the state space via the spectral properties of the system. Then we will apply this approach to both strong and weak stabilization problem using bounded feedback. Applications are presented.

This paper presents a study on a family of second-order retarded semilinear control systems with non-local delay condition. The existence and uniqueness of mild solution has been deduced using the famous Banach contraction principle. An inclusion relation between the reachable set of semilinear control system and that of the associated linear system has been established. Finally, one example has been

In this article, we consider the differential equation |$\dot{v}\left (t\right )=-q\left (t\right )\beta \left (v\left (t\right )\right )+e\left (t\right )$| and derive sufficient conditions for the convergence of its solution(s) when |$t\rightarrow \infty $|⁠. As an application, we give generalized sufficient conditions for the global attractivity and the global asymptotic stability of a class of

We consider the equation |$\textrm{d}u(t)/\textrm{d}t=A(t)u(t)$| with an unbounded operator |$A(t)$| in a Hilbert space having a bounded strong derivative. We derive the exponential and |$L^2$| stability conditions. An illustrative example is presented.

This paper considers a discrete-time optimal scheduling problem for switched linear systems. In order to exactly find the global optimal solution, we study the relation between the linear dynamic system and the matrix trace. Then a new dynamical lower bound of the cost functional is constructed for all possible switching signals at each period. Compared with the current optimal value treated as an