NDLI: Trajectory-based small gain theorems for ISpS and ISS of large-scale networks of switched systems with arbitrary switchings

Content Provider	IET Digital Library
Author	Dashkovskiy, Sergey N. Pavlichkov, Svyatoslav S.
Abstract	The authors consider a large-scale switched non-linear system which is composed as an interconnection of N non-linear switched systems. Having assumed that every subsystem is stable uniformly with respect to the unobservable switching signals, it can happen that the entire interconnection is unstable. This study provides a sufficient condition for the uniform stability of the entire large-scale interconnection. The framework of input-to-state stability (ISS) is used for this purpose and the stability condition is of the small-gain type which is given in terms of trajectory-based ISS gains. To prove this result we extend the well-known result by Sontag and Wang on characterisations of the ISS property in terms of simpler stability notions to the case of switched systems with arbitrary switchings.
Starting Page	757
Ending Page	765
Page Count	9
ISSN	17518644
Volume Number	11
e-ISSN	17518652
Issue Number	Issue 6, Apr (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/11/6
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2016.1025
Journal	IET Control Theory & Applications
Publisher Date	2017-01-06
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Arbitrary Switchings Input-to-state Stability ISpS Large-scale Network Large-scale Switched Nonlinear System Interconnection Large-scale System Multivariable Control System Nonlinear Control System Small-gain Type Stability Condition Stability Stability in Control Theory Sufficient Condition Switching System (control) Time Varying Control System Trajectory-based ISS Gain Trajectory-based Small Gain Theorems Uniform Stability Uniformly Stable Subsystem Unobservable Switching Signal Unstable Interconnection
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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