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时标上脉冲混合动态系统的稳定性 被引量:1

Stability of Impulsive Hybrid Dynamic Systems on Time Scales
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摘要 利用Lyapunov函数方法研究了时标上脉冲混合动态系统关于两个测度的稳定性和渐近稳定性。 By using of Lyapunov direct method and several Lyapunov functions were studied the stability and asymptotic stability in terms of two measures of impulsive hybrid dynamic systems on time scales.
作者 李锴 张立琴
出处 《科学技术与工程》 2009年第4期832-835,共4页 Science Technology and Engineering
基金 国家自然科学基金(10571111) 山东省自然科学基金(Y2007A10)资助
关键词 时标 脉冲混合动态系统 直接方法 多个Lyapunov函数 time scales impulsive hybrid dynamic systems direct method several lyapunov functions
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  • 1Hilger S. Analysis on measure chains - a unified approachto continuous and discrete calculus. Resules Math, 1990 ; 18 : 18--56.
  • 2Lakshmikantham V, Kaymakcalan B, Sivasundaram S. Dynamic systems on measure chains. Dordrecht : Kluwer Academic Publishers, 1996.
  • 3Bohner M, Peterson A. Dynamic equations on time scales:an introduction with applications. Boston : Birkhauser, 2001.
  • 4Lakshmikantham V, Vatsala A S. Hybrid systems on time scales. Journal of Computational and Applied Mathematics,2002 ;141 : 227- 235.
  • 5杜静,傅希林.时标上非线性脉冲动态系统的稳定性[J].山东师范大学学报(自然科学版),2008,23(1):1-3. 被引量:4

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