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The Variational Lyapunov Method and Stability for Impulsive Delay Differential Systems

The Variational Lyapunov Method and Stability for Impulsive Delay Differential Systems
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摘要 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. 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.
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
出处 《Journal of Mathematical Research and Exposition》 CSCD 2010年第1期67-77,共11页 数学研究与评论（英文版）
基金 Supported by the National Natural Science Foundation of China (Grant No.60973048) the Natural Science Foundation of Shandong Province (Grant No.Y2007G30) the Young Science Foundation of Qingdao University
关键词 impulsive delay differential system STABILITY variational Lyapunov method Razumikhin technique two measures. impulsive delay differential system stability variational Lyapunov method Razumikhin technique two measures.
分类号 O175.13 [理学—基础数学]
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参考文献13

  • 1LAKSHMIKANTHAM V, BAINOV D D, SIMEONOV P S. Theory of Impulsive Differential Equations [M]. World Scientific Publishing Co., Inc., River Edge, N J, 1989.
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Journal of Mathematical Research and Exposition
2010年 第1期

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