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The Variational Lyapunov Method and Stability for Impulsive Delay Differential Systems
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作者 Kai En LIU1,2, Guo Wei YANG3 1. School of Mathematics, Qingdao University, Shandong 266071, P. R. China 2. Center for Systems and Control, College of Engineering, Peking University, Beijing 100871, P. R. China 3. School of Automation Engineering, Qingdao University, Shandong 266071, P. R. China 《Journal of Mathematical Research and Exposition》 CSCD 2010年第1期67-77,共11页
By using the variational Lyapunov method and Razumikhin technique, the stability criteria in terms of two measures for impulsive delay differential systems are established. The known results are generalized and improv... By using the variational Lyapunov method and Razumikhin technique, the stability criteria in terms of two measures for impulsive delay differential systems are established. The known results are generalized and improved. An example is worked out to illustrate the advantages of the theorems. 展开更多
关键词 impulsive delay differential system STABILITY variational lyapunov method Razumikhin technique two measures.
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Stability and boundedness in terms of two measures for nonlinear impulsive control systems
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作者 Qiang XI 《控制理论与应用(英文版)》 EI 2009年第3期243-247,共5页
In this paper we study stability and boundedness in terms of two measures for impulsive control systems. By using variational Lyapunov method, a new variational comparison principle and some criteria on stability and ... In this paper we study stability and boundedness in terms of two measures for impulsive control systems. By using variational Lyapunov method, a new variational comparison principle and some criteria on stability and boundedness are obtained. An example is presented to illustrate the efficiency of proposed result. 展开更多
关键词 STABILITY BOUNDEDNESS Impulsive control systems variational lyapunov method Two measures
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