A small-gain theorem for a wide class of feedback systems with control applications

Iasson Karafyllis, Zhong-Ping Jiang

Research output: Contribution to journalArticle

Abstract

A small-gain theorem, which can be applied to a wide class of systems that includes systems satisfying the weak semigroup property, is presented in the present work. The result generalizes all existing results in the literature and exploits notions of weighted, uniform, and nonuniform input-to-output stability properties. Applications to partial state feedback stabilization problems with sampled-data feedback applied with zero order hold and positive sampling rate are also presented.

Original languageEnglish (US)
Pages (from-to)1483-1517
Number of pages35
JournalSIAM Journal on Control and Optimization
Volume46
Issue number4
DOIs
StatePublished - 2007

Fingerprint

Small Gain Theorem
Feedback Systems
State feedback
Stabilization
Sampling
Feedback
Feedback Stabilization
State Feedback
Semigroup
Partial
Generalise
Output
Zero
Class

Keywords

  • Control systems
  • Input-to-output stability
  • Small-gain theorem

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Control and Optimization

Cite this

A small-gain theorem for a wide class of feedback systems with control applications. / Karafyllis, Iasson; Jiang, Zhong-Ping.

In: SIAM Journal on Control and Optimization, Vol. 46, No. 4, 2007, p. 1483-1517.

Research output: Contribution to journalArticle

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