Gradient algorithms for finding common Lyapunov functions

Daniel Liberzon, Roberto Tempo

Research output: Contribution to journalConference article

Abstract

This paper is concerned with the problem of finding a quadratic common Lyapunov function for a large family of stable linear systems. We present gradient iteration algorithms which give deterministic convergence for finite system families and probabilistic convergence for infinite families.

Original languageEnglish (US)
Pages (from-to)4782-4787
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume5
StatePublished - Dec 1 2003
Event42nd IEEE Conference on Decision and Control - Maui, HI, United States
Duration: Dec 9 2003Dec 12 2003

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Gradient Algorithm
Lyapunov functions
Lyapunov Function
Linear systems
Linear Systems
Gradient
Iteration
Family

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

Gradient algorithms for finding common Lyapunov functions. / Liberzon, Daniel; Tempo, Roberto.

In: Proceedings of the IEEE Conference on Decision and Control, Vol. 5, 01.12.2003, p. 4782-4787.

Research output: Contribution to journalConference article

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