An IOS Small-Gain Theorem for Large-Scale Hybrid Systems

Adiya Bao, Tengfei Liu, Zhong Ping Jiang

Research output: Contribution to journalArticlepeer-review


This paper presents a small-gain result for large-scale interconnected systems composed of hybrid subsystems. It is assumed that the subsystems are input-to-output practically stable (IOpS) with offset and unboundedness observability (UO), and the interconnected system can be proved to be IOpS with offset and UO as long as the proposed small-gain condition is satisfied. If, moreover, the assumption of IOpS on the subsystems is reduced to input-to-output stability (IOS), then the interconnected system is IOS.

Original languageEnglish (US)
Article number8385193
Pages (from-to)1295-1300
Number of pages6
JournalIEEE Transactions on Automatic Control
Issue number3
StatePublished - Mar 2019


  • Hybrid systems
  • input-to-output stability (IOS)
  • large-scale systems
  • small-gain theorem

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


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