\(L_{\infty}\) control with finite-time stability for switched systems under asynchronous switching
type: Item
instance of: scholarly article
title: \(L_{\infty}\) control with finite-time stability for switched systems under asynchronous switching
zbMATH Open document ID: 1264.93057
DOI: 10.1155/2012/929503
author: Ping Wang
author: Qiliang Yang
author: Zhengrong Xiang
author: Ronghao Wang
author: Jianchun Xing
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: This paper is concerned with the problem of controller design for switched systems under asynchronous switching with exogenous disturbances. The attention is focused on designing the feedback controller that guarantees the finite-time bounded and \(L_{\infty}\) finite-time stability of the dynamic system. Firstly, when there exists asynchronous switching between the controller and the system, a sufficient condition for the existence of stabilizing switching law for the addressed switched system is derived. It is proved that the switched system is finite-time stabilizable under asynchronous switching satisfying the average dwell-time condition. Furthermore, the problem of \(L_{\infty}\) control for switched systems under asynchronous switching is also investigated. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93C30
zbMATH DE Number: 6173701
Wikidata QID: Q58912700
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/929503
OpenAlex ID: W1994282064
cites work: Systems with finite communication bandwidth constraints. I. State estimation problems
cites work: Conflict resolution for air traffic management: a study in multiagent hybrid systems
cites work: Basic problems in stability and design of switched systems
cites work: Vector \(L_2\)-gain and stability of feedback switched systems
cites work: Stability and \(L_{2}\)-gain analysis for switched delay systems: a delay-dependent method
cites work: Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
cites work: Stability analysis of switched systems with stable and unstable subsystems: an average dwell time approach
cites work: Stabilization of Markovian jump linear system over networks with random communication delay
cites work: Delay‐dependent exponential H ∞ filtering for discrete‐time switched delay systems
cites work: Finite-time boundedness and \(L_{2}\)-gain analysis for switched delay systems with norm-bounded disturbance
cites work: Some Tauberian theorems for regularly generated sequences
cites work: Delay-dependent observer-based \(H_{\infty }\) finite-time control for switched systems with time-varying delay
cites work: \(H_\infty\) finite-time control for switched nonlinear discrete-time systems with norm-bounded disturbance
cites work: Stability, ${l}_{2}$-Gain and Asynchronous ${H}_{{\infty}}$ Control of Discrete-Time Switched Systems With Average Dwell Time
cites work: Asynchronously switched control of switched linear systems with average dwell time
cites work: Robust reliable control for uncertain switched nonlinear systems with time delay under asynchronous switching
cites work: Stabilization of discrete-time switched singular time-delay systems under asynchronous switching
cites work: Switching in systems and control
description: scientific article; zbMATH DE number 6173701