New results on asynchronous H control for switched discrete-time linear systems under dwell time constraint

Jian Xiao, Weiming Xiang

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


In this technical note, the ℓ2 gain analysis and asynchronous H control problems for switched discrete-time linear systems are addressed. Under the dwell time constraint, the computation of ℓ2 gains versus dwell time is viewed as an open problem. By introducing a novel dwell time dependent Lyapunov function, an LMI-based sufficient condition is proposed to solve the ℓ2 gain analysis problem. Since the derived conditions are all convex in system matrices, it is convenient to be applied into H controller design. Thus, in the presence of asynchronous switching, an H controller is presented to ensure the closed-loop system with a desired non-weighted H performance. The proposed approach can also easily characterize the relationship between H performance, dwell time and asynchronous time. Finally, several academic examples are provided to illustrate our results.

Original languageEnglish (US)
Pages (from-to)601-611
Number of pages11
JournalApplied Mathematics and Computation
StatePublished - Sep 1 2014
Externally publishedYes


  • Asynchronous switching
  • Dwell time
  • Switched discrete-time linear system

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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