Approximations of Lyapunov-Krasovskii functional of complete type with given cross terms in the derivative for the stability of time delay systems

B. M. Ochoa, S. Mondié

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

9 Scopus citations

Abstract

Sufficient conditions expressed in terms of the piecewise linear approximation of the Lyapunov matrix of the time delay system for the derivative condition and the bound condition of the Lyapunov-Krasovskii stability Theorem are provided. These conditions can be utilized to verify if a given constructed Lyapunov matrix or its approximation gives rise to a functional that satisfies the Lyapunov Krasovskii Theorem. They can also be employed in a constructive manner.

Original languageEnglish
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2071-2076
Number of pages6
ISBN (Print)1424414989, 9781424414987
DOIs
StatePublished - 2007
Externally publishedYes
Event46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States
Duration: 12 Dec 200714 Dec 2007

Publication series

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

Conference

Conference46th IEEE Conference on Decision and Control 2007, CDC
Country/TerritoryUnited States
CityNew Orleans, LA
Period12/12/0714/12/07

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