title: A novel approach to delay-fractional-dependent stability criterion for linear systems with interval delay.
abstract: This paper considers the problem of delay-fractional-dependent stability analysis of linear systems with interval time-varying state delay. By developing a delay variable decomposition approach, both the information of the variable dividing subinterval delay, and the information of the lower and upper bound of delay can be taken into full consideration. Then a new delay-fractional-dependent stability criterion is derived without involving any direct approximation in the time-derivative of the Lyapunov-Krasovskii (LK) functional via some suitable Jensen integral inequalities and convex combination technique. The merits of the proposed result lie in less conservatism, which are realized by choosing different Lyapunov matrices in the variable delay subintervals and estimating the upper bound of some cross term in LK functional more exactly. At last, two well-known numerical examples are employed to show the effectiveness and less conservatism of the proposed method.
authors.affiliation: Key Laboratory of Embedded and Network Computing of Hunan Province, College of Information Science and Engineering, Hunan University, Changsha 410082, PR China; Department of Applied Mathematics, Faculty of Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1. Electronic address: anbobcn@aliyun.com.
authors.forename: Jiyao
authors.initials: J
authors.lastname: An
authors.affiliation: Key Laboratory of Embedded and Network Computing of Hunan Province, College of Information Science and Engineering, Hunan University, Changsha 410082, PR China.
authors.forename: Zhiyong
authors.initials: Z
authors.lastname: Li
authors.affiliation: School of Mathematics Science, University of Electronic Science and Technology of China, Chengdu 610054, PR China; Department of Applied Mathematics, Faculty of Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1.
authors.forename: Xiaomei
authors.initials: X
authors.lastname: Wang
keywords: Delay-fractional-dependent stability; Interval time-varying delay; Linear matrix inequality (LMI); Lyapunov–Krasovskii (LK) functional; Maximum allowable delay bound (MADB)