Exponential ISS properties for impulsive interconnected systems

Bin Liu*, Qiong Tang, Shen Ping Xiao, Hong Bing Zeng

*Corresponding author for this work

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

    Abstract

    This paper investigates the problem of exponential input-to-state stability (e-ISS) for impulsive interconnected systems. A new concept input-to-state exponent property (IS-E) including input-to-state positive exponent property (IS-E+), input-to-state zero exponent property (IS-E0) and input-to-state negative exponent property (IS-E-), is proposed for dynamical systems with external input. By using IS-E estimations of subsystems, multiple Lyapunov functions method and average dwell time condition, the e-ISS criteria for continuous-time/discrete-time impulsive interconnected systems are established respectively. The ISS small-gain condition required in the literature for interconnected systems is relaxed if every subsystem has e-ISS property.

    Original languageEnglish
    Title of host publicationProceedings of the 29th Chinese Control Conference, CCC'10
    Pages1506-1510
    Number of pages5
    Publication statusPublished - 2010
    Event29th Chinese Control Conference, CCC'10 - Beijing, China
    Duration: 29 Jul 201031 Jul 2010

    Publication series

    NameProceedings of the 29th Chinese Control Conference, CCC'10

    Conference

    Conference29th Chinese Control Conference, CCC'10
    Country/TerritoryChina
    CityBeijing
    Period29/07/1031/07/10

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