NDLI: New result on robust stability of switched systems with all subsystems unstable

Content Provider	IET Digital Library
Author	Xu, Xiaozeng Mao, Xiang Li, Yang Zhang, Hongbin
Abstract	In this study, the stability problem of continuous-time switched systems composed fully of unstable subsystems is considered. Unlike the hybrid conditions derived in previous literature, this study used a novel time-dependent quadratic Lyapunov function approach and a convex sufficient condition for switched linear systems is proposed in the framework of bounded maximum average dwell time (BMADT). The resulting condition in this study is enforced using the sum of squares programming. Then, the condition for switched linear systems is extended to uncertain systems and the robust stability condition is derived. Moreover, a new stability result of continuous-time switched systems with all subsystems unstable is investigated based on the BMADT conditions. The simulation shows that it is better than the results in previous literature. Two numerical examples are proposed to illustrate the authors' approach.
Starting Page	2138
Ending Page	2145
Page Count	8
ISSN	17518644
Volume Number	13
e-ISSN	17518652
Issue Number	Issue 13, Sep (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/13/13
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2019.0018
Journal	IET Control Theory & Applications
Publisher Date	2019-06-11
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Asymptotic Stability BMADT Condition Continuous Time System Continuous-time Switched System Control System Analysis Convex Sufficient Condition Discrete Control System Discrete Time System Hybrid Condition Linear System Lyapunov Method Novel Time-dependent Quadratic Lyapunov Function Approach Previous Literature Resulting Condition Robust Control Robust Stability Condition Stability Stability in Control Theory Stability Problem Stability Result Switched Linear System Synthesis Method Time Varying Control System Time Varying System Uncertain System Unstable SubSystem
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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