This paper deals with strongly absolute stability of Lur’e-type discrete-time descriptor systems.The nonlinear...
Fei Yin and Ding Zhai are with the Institute of Systems Science,Northeastern University,Shenyang,110004,P.R.China.Chunyu Yang is with the Key Laboratory of Integrated Automation of Process Industry,Ministry of Education,Northeastern University,Shenyang,110004,P.R.China.
In this paper, delay-dependent stability analysis and robust stabilization for uncertain singular time-delay systems are addressed. By using Jensen integral inequality, an improved delay-dependent criterion of admissibility for singular time-delay systems is proposed in terms of linear matrix inequality （LMI）. Our new proposed criterion is less conservative and the numerical complexity is smaller than the existing ones. Based on this criterion, a state feedback controller is designed to ensure that the uncertain singular time-delay system is admissible. Finally, three numerical examples are employed to illustrate the effectiveness of the proposed method.
This paper investigates the problems of stability analysis and stabilization for singular linear systems subje...
Linna Zhou the School of Business Administration, Northeastern University and Chunyu Yang State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University
This paper gives a novel delay-dependent admissibility condition of discrete-time singular systems with time-varying delays. For convenience, the time-varying delay is assumed to be the sum of delay lower bound and the integral multiples of a constant delay. Specially, if the constant delay is of unit length, the delay is an interval-like time-varying delay. The proposed admissibility condition is presented and expressed in terms of linear matrix inequality (LMI) by Lyapunov approach. Generally, the uncertainty of time-varying delay would lead to conservatism. In this paper, this critical issue is tackled by accurately estimating the time-varying delay. Consequently, the proposed admissibility condition is less conservative than the existing results, which is demonstrated by a numerical example.
Yong-Yun Shao 1,3 Xiao-Dong Liu 1,2 Xin Sun 3 Zhan Su 4 1 Transportation Management College, Dalian Maritime University, Dalian 116026, China 2 Department of Mathematics, Dalian Maritime University, Dalian 116026, China 3 Department of Computer and Mathematics Teaching, Shenyang Normal University, Shenyang 110034, China 4 Institute of Systems Science, Northeastern University, Shenyang 110004, China
