NDLI: Results on stability of switched discrete-time systems with all subsystems unstable

Content Provider	IET Digital Library
Author	Mao, Xiang Zhu, Hui Chen, Wei Zhang, Hongbin
Abstract	In this study, the stability problem of discrete-time switched systems without stable subsystems is considered. Using the k-sample-like method, the authors construct a Lyapunov function whose value at the switching instant is less than the value at the last switching instant when the corresponding dwell time belongs to a special time span. According to whether the dwell time belongs to the time span, switchings are divided into two categories: the switching without divergence time and the switching with divergence time. Based on that, a new less conservative exponential stability theorem is established with the bounded maximum average dwell time. Furthermore, by jointly considering the dynamic characteristics of the subsystems before and after switching instants, they also give the stability result via the dwell time with the floating lower and upper bounds. Finally, some numerical examples are given to illustrate the effectiveness of the theoretical results.
Starting Page	152
Ending Page	158
Page Count	7
ISSN	17518644
Volume Number	13
e-ISSN	17518652
Issue Number	Issue 1, Jan (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/13/1
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.5575
Journal	IET Control Theory & Applications
Publisher Date	2018-11-12
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Asymptotic Stability Conservative Exponential Stability Theorem Control System Analysis Delay Discrete Control System Discrete Time System Discrete-time Switched System Divergence Time Dwell Time Linear System Lyapunov Method Special Time Span Stability Stability in Control Theory Stability Problem Stability Result Stable SubSystem Switched Discrete-time System Switching Instant Switchings Synthesis Method Time Varying Control System Time Varying System
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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