Estimation Entropy for Regular Linear Switched Systems

Guilherme Scabin Vicinansa, Daniel Liberzon

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we introduce the concept of regular switched systems and we present some consequences of this property on the estimation entropy's calculation. For systems of such a class, one can derive a formula for the estimation entropy in terms of the system's Lyapunov exponents. We also present some sufficient conditions on the system that guarantee regularity. Some of those conditions include the cases of periodic switching, simultaneously triangularizable systems, and a large class of randomly switched systems that contains Markov Jump Linear Systems (MJLS) as a special case. For that last part, we use tools from ergodic theory to draw conclusions that hold almost surely.

Original languageEnglish (US)
Title of host publication2019 IEEE 58th Conference on Decision and Control, CDC 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5754-5759
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

Conference

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

ASJC Scopus subject areas

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

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