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Stabilization analysis for discrete-time systems with time delay |
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| Authors: | Zixin Liu Shu Lü Mao Ye |
| Institution: | a School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 611731, PR China b School of Mathematics and Statistics, Guizhou College of Finance and Economics, Guiyang 550004, PR China c School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, PR China |
| Abstract: | The stabilization problem for a class of discrete-time systems with time-varying delay is investigated. By constructing an augmented Lyapunov function, some sufficient conditions guaranteeing exponential stabilization are established in forms of linear matrix inequality (LMI) technique. When norm-bounded parameter uncertainties appear in the delayed discrete-time system, a delay-dependent robust exponential stabilization criterion is also presented. All of the criteria obtained in this paper are strict linear matrix inequality conditions, which make the controller gain matrix can be solved directly. Three numerical examples are provided to demonstrate the effectiveness and improvement of the derived results. |
| Keywords: | Exponential stabilization Delay-dependent stabilization Discrete-time system Time-varying delay |
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