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This paper is concerned with the problem of robust stabilization for a class of uncertain 2D discrete switched systems with state delays represented by a model of Roesser type, where the switching instants of the controller experience…

Dynamical Systems · Mathematics 2012-07-10 Shipei Huang , Zhengrong Xiang

We present the stability analysis for the new regulation-triggered approach to adaptive control introduced in a companion paper. Due to the fact that the closed-loop system is hybrid, our proofs have essential differences from the…

Optimization and Control · Mathematics 2016-09-13 Iasson Karafyllis , Miroslav Krstic

This article presents an adaptive nonlinear delayed feedback control scheme for stabilizing the unstable periodic orbit of unknown fractional-order chaotic systems. The proposed control framework uses the Lyapunov approach and sliding mode…

Systems and Control · Electrical Eng. & Systems 2023-11-10 Bahram Yaghooti , Kaveh Safavigerdini , Reza Hajiloo , Hassan Salarieh

This paper discusses the stability analysis of linear parameter varying systems with a parameter-dependent delay where the parameters are assumed to be stochastic piecewise constants under spontaneous Poissonian jumps. Based on stochastic…

Systems and Control · Electrical Eng. & Systems 2021-02-10 Muhammad Zakwan

This paper deals with the tracking control problem for a class of unknown pure feedback system with pure state constraints on the state variables and unknown time-varying bounded disturbances. An adaptive controller is presented for such…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Pankaj Kumar Mishra , Nishchal K Verma

This paper focuses on consensus problems for high-order, linear multi-agent systems. Undirected communication topologies and fixed, uniform communication time delay are taken into account. This class of problems has been widely study in the…

Optimization and Control · Mathematics 2016-05-06 Rudy Cepeda-Gomez

Stability of synchronization in unidirectionally coupled time-delay systems is studied using the Krasovskii-Lyapunov theory. We have shown that the same general stability condition is valid for different cases, even for the general…

Chaotic Dynamics · Physics 2015-05-13 D. V. Senthilkumar , J. Kurths , M. Lakshmanan

We introduce general results on well-posedness and output regulation of regular linear systems with nonautonomous controllers. We present a generalization of the internal model principle for time-dependent controllers with asymptotically…

Optimization and Control · Mathematics 2022-04-12 Lassi Paunonen , Sepideh Afshar

This paper considers the problem of controlling a piecewise continuously differentiable system subject to time-varying uncertainties. The uncertainties are decomposed into a time-invariant, linearly-parameterized portion and a time-varying…

Systems and Control · Electrical Eng. & Systems 2025-03-12 Ying-Chun Chen , Craig Woolsey

We consider the problem of constructing Lyapunov functions for linear differential equations with delays. For such systems it is known that exponential stability implies the existence of a positive Lyapunov function which is quadratic on…

Dynamical Systems · Mathematics 2007-07-03 Matthew M. Peet , Antonis Papachristodoulou , Sanjay Lall

We present an improvement of a recent funnel controller design for uncertain nonlinear multi-input, multi-output systems modeled by higher order functional differential equations in the presence of input constraints. The objective is to…

Optimization and Control · Mathematics 2026-04-29 Thomas Berger

In this paper, we propose a novel nonlinear observer based on neural networks, called neural observer, for observation tasks of linear time-invariant (LTI) systems and uncertain nonlinear systems. In particular, the neural observer designed…

Optimization and Control · Mathematics 2023-01-18 Song Chen , Shengze Cai , Tehuan Chen , Chao Xu , Jian Chu

This brief gives a set of unified Lyapunov stability conditions to guarantee the predefined-time/finite-time stability of a dynamical systems. The derived Lyapunov theorem for autonomous systems establishes equivalence with existing…

Systems and Control · Electrical Eng. & Systems 2024-04-02 Bing Xiao , Haichao Zhang , Shijie Zhao , Lu Cao

A novel adaptive identifier is developed for nonlinear time-delay systems composed of linear, Lipschitz and non-Lipschitz components. To begin with, an identifier is designed for uncertain systems with a priori known delay values, and then…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Igor Furtat , Yury Orlov

This paper considers the problem of identifying the parameters of an uncertain linear system by means of feedback control. The problem is approached by considering time-varying controllers. It is shown that even when the uncertainty set is…

Systems and Control · Computer Science 2015-04-17 G. Battistelli , P. Tesi

This paper studies the tracking control problem of nonlinear networked and quantized control systems (NQCSs) with communication delays. The desired trajectory is generated by a reference system. The communication network is to guarantee the…

Systems and Control · Electrical Eng. & Systems 2021-10-19 Wei Ren , Junlin Xiong

This paper proposes a new adaptation methodology to find the control inputs for a class of nonlinear systems with time-varying bounded uncertainties. The proposed method does not require any prior knowledge of the uncertainties including…

Optimization and Control · Mathematics 2018-03-16 Yi-Wen Liao , Selina Pan , Francesco Borrelli , J. Karl Hedrick

This paper studies integral input-to-state stability (iISS) of nonlinear impulsive systems with time-delay in both the continuous dynamics and the impulses. Several iISS results are established by using the method of Lyapunov-Krasovskii…

Systems and Control · Computer Science 2022-06-09 Kexue Zhang

In this paper we develop novel results on self triggering control of nonlinear systems, subject to perturbations and actuation delays. First, considering an unperturbed nonlinear system with bounded actuation delays, we provide conditions…

Optimization and Control · Mathematics 2011-08-29 M. D. Di Benedetto , S. Di Gennaro , A. D'Innocenzo

This paper proposes a novel online data-driven adaptive control for unknown linear time-varying systems. Initialized with an empirical feedback gain, the algorithm periodically updates this gain based on the data collected over a short time…

Systems and Control · Electrical Eng. & Systems 2024-01-31 Shenyu Liu , Kaiwen Chen , Jaap Eising