A generalized free-matrix-based integral inequality for stability analysis of time-varying delay systems

This paper focuses on the delay-dependent stability problem of time-varying delay systems. A generalized free-matrix-based integral inequality (GFMBII) is presented. This inequality is able to deal with time-varying delay systems without using the reciprocal convexity lemma. It overcomes the drawbac...

Celý popis

Uloženo v:

Podrobná bibliografie
Vydáno v:	Applied mathematics and computation Ročník 354; s. 1 - 8
Hlavní autoři:	Zeng, Hong-Bing, Liu, Xiao-Gui, Wang, Wei
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Elsevier Inc 01.08.2019
Témata:	Free-matrix-based integral inequality(FMBII) Linear matrix inequality Stability Time-varying delay Linear matrix inequality Free-matrix-based integral inequality(FMBII) Stability Time-varying delay
ISSN:	0096-3003, 1873-5649
On-line přístup:	Získat plný text
Tagy:	Přidat tag Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!

Popis
Shrnutí:	This paper focuses on the delay-dependent stability problem of time-varying delay systems. A generalized free-matrix-based integral inequality (GFMBII) is presented. This inequality is able to deal with time-varying delay systems without using the reciprocal convexity lemma. It overcomes the drawback that the Bessel–Legendre inequality is inconvenient to cope with a time-varying delay system as the resultant bound contains a reciprocal convexity. Through the use of the derived inequality and by constructing a suitable Lyapunov–Krasovskii function (LKF), improved stability criteria are presented in the form of linear matrix inequalities (LMIs). Two numerical examples are carried out to demonstrate that the results outperform the state of the art in the literature.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2019.02.009