Improved Stability Criteria for Discrete-time Delay Systems via Novel Summation Inequalities |
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| Authors: | Shenping Xiao Linxing Xu Hong-Bing Zeng Kok Lay Teo |
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| Affiliation: | 1.School of Electrical and Information Engineering,Hunan University of Technology,Zhuzhou, Hunan,P. R. China;2.Key Laboratory for Electric Drive Control and Intelligent Equipment of Hunan Province,Zhuzhou, Hunan,P. R. China;3.School of Information Science and Engineering,Northeastern University,Shenyang, Liaoning,P. R. China;4.Coordinated Innovation Center for Computable Modeling in Management Science,Tianjin University of Finance and Economics,Tianjin,China;5.Department of Mathemtics and Statsitics,Curtin University,Perth,Australia |
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| Abstract: | This paper is concerned with the stability analysis of linear discrete time-delay systems. New discrete inequalities for single summation and double summation are presented to estimate summation terms in the forward difference of Lyapunov-Krasovskii functional (LKF), which are more general than some commonly used summation inequalities. Through the construction of an augmented LKF, improved delay-dependent stability criteria for discrete time-delay systems are established. Based on this, a time-delayed controller is derived for linear discrete time-delay systems. Finally, the advantages of the proposed criteria are revealed from the solutions of the numerical examples. |
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