Improved Stability Criteria for Time-Varying Delay System Using Second and First Order Polynomials

Mahto, S.; Elavasaran, R.M.; Ghosh, S.; Saket, R.K.; Hossain, E.; Nagar, S.K.

dc.contributor.author	Mahto, S.
dc.contributor.author	Elavasaran, R.M.
dc.contributor.author	Ghosh, S.
dc.contributor.author	Saket, R.K.
dc.contributor.author	Hossain, E.
dc.contributor.author	Nagar, S.K.
dc.date.accessioned	2020-12-14T10:03:13Z
dc.date.available	2020-12-14T10:03:13Z
dc.date.issued	2020
dc.identifier.issn	21693536
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/1152
dc.description.abstract	This paper concerns the problem of stability analysis of systems with time-varying delay. Recent developments in this direction involves approximation of a second order polynomial function of time-delay. This paper proposes a new Lyapunov-Krasovskii Functional that does not introduce the second-order polynomial and thereby avoid the approximation involved in obtaining the stability criterion. Two stability criterion are presented, one introduces the second-order polynomial and the other one does not. A comparison using numerical examples shows that the avoidance of second-order polynomial formulation leads to improved results. CCBY	en_US
dc.language.iso	en_US	en_US
dc.publisher	Institute of Electrical and Electronics Engineers Inc.	en_US
dc.relation.ispartofseries	IEEE Access;
dc.subject	Time-varying delay	en_US
dc.subject	Lyapunov-Krasovskii functional	en_US
dc.subject	Bessel-Legendre integral inequality	en_US
dc.subject	negative-determination lemma	en_US
dc.title	Improved Stability Criteria for Time-Varying Delay System Using Second and First Order Polynomials	en_US
dc.type	Article	en_US