Positivity of complete quadratic Lyapunov-Krasovskii functionals in time-delay systems

Keqin Gu, Yashun Zhang, Matthew Peet

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

1 Scopus citations


This chapter discusses positivity of quadratic functionals that arise in the stability analysis of time-delay systems. When both the single and double integral terms are positive, a necessary and sufficient condition for positivity is obtained using operator theory. This is applied to the Lyapunov-Krasovskii functional and its derivative. The coupled differential-difference equations are studied using the Sum-of-Squares (SOS) method.

Original languageEnglish (US)
Title of host publicationTime Delay Systems
Subtitle of host publicationMethods, Applications and New Trends
EditorsRifat Sipahi, Tomas Vyhlidal, Silviu-Iulian Niculescu, Pierdomenico Pepe
Number of pages13
StatePublished - 2012
Externally publishedYes

Publication series

NameLecture Notes in Control and Information Sciences
ISSN (Print)0170-8643

ASJC Scopus subject areas

  • Library and Information Sciences


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