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Impulsive control of time-delay systems using delayed impulse and its application to impulsive master-slave synchronization |
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| Authors: | Jitao Sun Qing-Long Han Xiefu Jiang |
| Affiliation: | a Department of Mathematics, Tongji University, Shanghai 200092, China b Centre for Intelligent and Networked Systems, Central Queensland University, Rockhampton Qld 4702, Australia c School of Computing Sciences, Central Queensland University, Rockhampton Qld 4702, Australia d School of Automation, Hangzhou Dianzi University, Hangzhou 310018, Zhejiang, PR China |
| Abstract: | This Letter is concerned with impulsive control of a class of nonlinear time-delay systems. Some uniform stability criteria for the closed-loop time-delay system under delayed impulsive control are derived by using piecewise Lyapunov functions. Then the criteria are applied to impulsive master-slave synchronization of some secure communication systems with transmission delays and sample delays under delayed impulsive control. Two numerical examples are given to illustrate the effectiveness of the derived results. |
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