Lyapunov-Krasovskii functionals and frequency domain: delay-independent absolute stability criteria for delay systems

Bliman, P-A

dc.contributor.author	Bliman, P-A	en
dc.date.accessioned	2014-03-01T01:16:41Z
dc.date.available	2014-03-01T01:16:41Z
dc.date.issued	2001	en
dc.identifier.issn	1049-8923	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14172
dc.subject	Absolute stability	en
dc.subject	Delay systems	en
dc.subject	Frequency domain	en
dc.subject	Linear matrix inequalities	en
dc.subject	Lyapunov-Krasovskii functionals	en
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Asymptotic stability	en
dc.subject.other	Delay control systems	en
dc.subject.other	Frequency domain analysis	en
dc.subject.other	Linear control systems	en
dc.subject.other	Lyapunov methods	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Nonlinear control systems	en
dc.subject.other	Riccati equations	en
dc.subject.other	Transfer functions	en
dc.subject.other	Absolute stability	en
dc.subject.other	Linear matrix inequalities	en
dc.subject.other	Lyapunov-Krasovskii functionals	en
dc.subject.other	System stability	en
dc.title	Lyapunov-Krasovskii functionals and frequency domain: delay-independent absolute stability criteria for delay systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/rnc.576	en
heal.identifier.secondary	http://dx.doi.org/10.1002/rnc.576	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	The present paper is devoted to the study of absolute stability of delay systems with nonlinearities subject to sector conditions. We construct quadratic candidate Lyapunov-Krasovskii functional, whose decreasingness along trajectories is expressed in terms of linear matrix inequalities. We then show that the feasibility of the latter implies some frequency-domain conditions, which may be seen as delay-independent versions of the circle criterion and the Popov criterion. Copyright (C) 2001 John Wiley & Sons, Ltd.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	International Journal of Robust and Nonlinear Control	en
dc.identifier.doi	10.1002/rnc.576	en
dc.identifier.isi	ISI:000169694700003	en
dc.identifier.volume	11	en
dc.identifier.issue	8	en
dc.identifier.spage	771	en
dc.identifier.epage	788	en