Common Lyapunov functions for switched linear systems: Linear Programming based approach

Stefania Andersen, Peter Giesl, Sigurdur Hafstein

Research output: Contribution to journalArticlepeer-review

Abstract

We study the stability of an equilibrium of arbitrarily switched, autonomous, continuous-time systems through the computation of a clf. The switching occurs between a finite number of individual subsystems, each of which is assumed to be linear. We present a lp based approach to compute a cpa clf and compare this approach with different methods in the literature. In particular we compare it with the prevalent use of lmi and semidefinite optimization to parameterize a qclf for the linear subsystems.

Original languageEnglish
Pages (from-to)1
Number of pages1
JournalIEEE Control Systems Letters
DOIs
Publication statusAccepted/In press - 2022

Bibliographical note

Publisher Copyright:
IEEE

Other keywords

  • Common Lyapunov function
  • Linear Matrix Inequalities
  • Linear Programming
  • Linear programming
  • Linear systems
  • Lyapunov methods
  • Quantum cascade lasers
  • Standards
  • Switched systems
  • Switched Systems
  • Switches

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