Exponential input-to-state stability for hybrid dynamical networks via impulsive interconnection

Bin Liu, David J. Hill, Yunlian Sun

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

4 Citations (Scopus)

Abstract

This paper investigates the problem of exponential input-to-state stability (e-ISS) for hybrid dynamical networks (HDN) via impulsive interconnection. New concepts of input-to-state exponent property (IS-E) and augmented time are proposed for dynamical systems and hybrid systems respectively. By using IS-E estimations of nodes in HDN and methods such as multiple Lyapunov functions and hybrid time, two types of e-ISS criteria for continuous-time/discrete-time HDN are established respectively. The requirements on ISS property of every subsystem and small-gain condition for interconnection in interconnected systems or networks in the literature is relaxed. The obtained e-ISS results are extended to the case of delayed impulsive interconnection. One representative example is given to illustrate the theoretical results.

Original languageEnglish
Title of host publication2010 49th IEEE Conference on Decision and Control, CDC 2010
PublisherIEEE, Institute of Electrical and Electronics Engineers
Pages673-678
Number of pages6
ISBN (Print)9781424477456
DOIs
Publication statusPublished - 2010
Externally publishedYes
EventIEEE Conference on Decision and Control 2010 - Atlanta, United States of America
Duration: 15 Dec 201017 Dec 2010
Conference number: 49th
https://ieeexplore.ieee.org/xpl/conhome/5707200/proceeding (Proceedings)

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

ConferenceIEEE Conference on Decision and Control 2010
Abbreviated titleCDC 2010
Country/TerritoryUnited States of America
CityAtlanta
Period15/12/1017/12/10
Internet address

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