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Convex Lyapunov Functions For Switched Discrete-Time Systems By Linear Programming

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Abstract

We present a novel method to compute convex Lyapunov functions for discrete-time, switched systems. The individual subsystems are assumed to be linear. The method uses linear programming to construct continuous piecewise affine and convex Lyapunov functions for the switched system. We demonstrate the applicability of our method with two examples from the literature.

Original languageEnglish
Title of host publication2024 25th International Carpathian Control Conference, ICCC 2024
EditorsAndrzej Kot
PublisherInstitute of Electrical and Electronics Engineers
Number of pages6
ISBN (Electronic)979-8-3503-5070-8
DOIs
Publication statusPublished - 1 Jul 2024
Event25th International Carpathian Control Conference, ICCC 2024 - Krynica Zdroj, Poland
Duration: 22 May 202424 May 2024

Conference

Conference25th International Carpathian Control Conference, ICCC 2024
Country/TerritoryPoland
CityKrynica Zdroj
Period22/05/2424/05/24

Bibliographical note

Publisher Copyright:
©2024 IEEE.

Keywords

  • discrete-time systems
  • linear programming
  • Lyapunov functions
  • switched systems

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