Lyapunov small-gain theorems for networks of not necessarily ISS hybrid systems

Andrii Mironchenko, Guosong Yang, Daniel Liberzon

Research output: Contribution to journalArticlepeer-review

Abstract

We prove a novel Lyapunov-based small-gain theorem for networks composed of n≥2 hybrid subsystems which are not necessarily input-to-state stable. This result unifies and extends several small-gain theorems for hybrid and impulsive systems proposed in the last few years. We also show how average dwell-time (ADT) clocks and reverse ADT clocks can be used to modify the ISS Lyapunov functions for subsystems and to enlarge the applicability of the derived small-gain theorems.

Original languageEnglish (US)
Pages (from-to)10-20
Number of pages11
JournalAutomatica
Volume88
DOIs
StatePublished - Feb 2018

Keywords

  • Hybrid systems
  • Input-to-state stability
  • Small-gain theorems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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