title: Further results on delay-dependent stability for continuous system with two additive time-varying delay components.
abstract: This paper deals with the problem of stability for continuous system with two additive time-varying delay components. By making full use of the information of the marginally delayed state, a novel Lyapunov-Krasovskii functional is constructed. When estimating the derivative of the Lyapunov-Krasovskii functional, we manage to get a fairly tighter upper bound by using the method of reciprocal convex and convex polyhedron. The obtained delay-dependent stability results are less conservative than some existing ones via numerical example comparisons. In addition, this criterion is expressed as a set of linear matrix inequalities, which can be readily tested by using the Matlab LMI toolbox. Finally, four examples are given to illustrate the effectiveness of the proposed method.
authors: School of Mathematical Sciences, University of Electronic Science and Technology of China, Sichuan, China.
authors: Xuemei
authors: X
authors: Yu
authors: School of Mathematical Sciences, University of Electronic Science and Technology of China, Sichuan, China.
authors: Xiaomei
authors: X
authors: Wang
authors: School of Mathematical Sciences, University of Electronic Science and Technology of China, Sichuan, China.
authors: Shouming
authors: S
authors: Zhong
authors: School of Information Science and Engineering, Chengdu University, Chengdu, 610106, China.
authors: Kaibo
authors: K
authors: Shi
keywords: Additive delay components; Delay-dependent stability; Lyapunov–Krasovskii functional; Time-varying delay