Density functions for navigation-function-based systems

Loizou, SG; Jadbabaie, A

dc.contributor.author	Loizou, SG	en
dc.contributor.author	Jadbabaie, A	en
dc.date.accessioned	2014-03-01T01:57:22Z
dc.date.available	2014-03-01T01:57:22Z
dc.date.issued	2008	en
dc.identifier.issn	0018-9286	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/28407
dc.subject	almost gas systems	en
dc.subject	density functions	en
dc.subject	dual Lyapunov techniques	en
dc.subject	navigation functions (NFs)	en
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.other	EXACT ROBOT NAVIGATION	en
dc.subject.other	STABILITY	en
dc.title	Density functions for navigation-function-based systems	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	In this paper, we present a scheme for constructing density functions for systems that are almost globally asymptotically stable (i.e., systems for which all trajectories converge to an equilibrium except for a set of measure zero) using navigation functions (NFs). Although recently-proven converse theorems guarantee the existence of density functions for such systems, such results are only existential and the construction of a density function for almost globally asymptotically stable systems remains a challenging task. We show that for a specific class of dynamical systems that are defined based on an NF, a density function can be easily derived from the system's underlying NF.	en
heal.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC	en
heal.journalName	IEEE TRANSACTIONS ON AUTOMATIC CONTROL	en
dc.identifier.isi	ISI:000254184600019	en
dc.identifier.volume	53	en
dc.identifier.issue	2	en
dc.identifier.spage	612	en
dc.identifier.epage	617	en