Stability Analysis Via Refinement of Piece-wise Linear Lyapunov Functions

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

Abstract

We present an algorithm for finding piece-wise linear Lyapunov functions that verify the asymptotic stability of piece-wise linear differential inclusions. Existing methods either use a fixed set of pieces (a partition) to define the Lyapunov function, or use heuristic methods to split the pieces, thereby refining the partition. Our algorithm involves iteratively refining partitions using an exact criterion which strictly reduces the set of points over which the Lyapunov function is non-decreasing.

Original languageEnglish
Title of host publication2019 IEEE 58th Conference on Decision and Control, CDC 2019
Pages1442-1447
Number of pages6
ISBN (Electronic)9781728113982
DOIs
StatePublished - Dec 2019
Event58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France
Duration: Dec 11 2019Dec 13 2019

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2019-December
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference58th IEEE Conference on Decision and Control, CDC 2019
Country/TerritoryFrance
CityNice
Period12/11/1912/13/19

Bibliographical note

Publisher Copyright:
© 2019 IEEE.

ASJC Scopus subject areas

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

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