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时标上脉冲混合动态系统实用渐近稳定性(英文)
引用本文:杨军,张晓华. 时标上脉冲混合动态系统实用渐近稳定性(英文)[J]. 生物数学学报, 2011, 0(4): 657-665
作者姓名:杨军  张晓华
作者单位:燕山大学理学院;河北省数学研究所;
基金项目:The NNSF of P.R.China(60604004); Natural Science Foundation of Hebei province (No.07M005); Scientific and Technological Support Project of Qinhuangdao(201001 A037、201101A168)
摘    要:在此篇论文中,采用Lyapunov直接法研究了一类时标脉冲混合动态系统关于两个测度的实用稳定性,进而将多个Lyapunov函数法推广到实用渐近稳定的研究中,并得到了相应的结论.

关 键 词:时标  脉冲混合动态系统  实用渐近稳定性  Lyapunov函数

Practically Asymptotically Stability of Impulsive Hybrid Dynamic Systems on Time Scales
YANG Jun Zhang Xiao-hua. Practically Asymptotically Stability of Impulsive Hybrid Dynamic Systems on Time Scales[J]. Journal of Biomathematics, 2011, 0(4): 657-665
Authors:YANG Jun Zhang Xiao-hua
Affiliation:YANG Jun~(1,2) Zhang Xiao-hua~1 (1 College of Science,Yanshan University,Qinhuangdao Hebei 066004 China) (2 Mathematics Research Center in Hebei Province,Shijiazhuang Hebei 050000 China)
Abstract:In this work,practical stability in terms of two measures of impulsive hybrid dynamic systems on time scales are studied by using Lyapunov direct method. And then,several Lyapunov functions method extends to the discussion of practically asymptotically stability and some conclusions are obtained.
Keywords:Time scales:Impulsive hybrid dynamic systems  Practically asymptotically stability  Lyapunov function  
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