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有限时滞差分方程基于两种测度的稳定性分析

Stability Analysis in Terms of Two Measures for Finite Delay Difference Equations
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摘要 通过 Liapunov泛函讨论有限时滞差分方程零解的渐近稳定性 ,这里只须要求 Liapunov泛函的差分在一区间序列上负定 ,并引入两种测度下稳定性的概念 ,使所得结果更具一般性 .在验证零解的渐近稳定性时 ,指出要求 This paper considered the asymptotic stability of the zero solution of finite delay difference equations by Liapunov functional. It only requires the difference of Liapunov functional to be negative definite on a sequence of intervals. To be more general, a concept of stability in terms of two measures was introduced. Furthermore, it is not necessary to require an upper bound on Liapunov functional for asymptotic stability.
出处 《上海交通大学学报》 EI CAS CSCD 北大核心 2002年第10期1516-1519,共4页 Journal of Shanghai Jiaotong University
基金 国家自然科学基金资助项目 (1983 10 3 0 )
关键词 测度 有限时滞差分方程 LIAPUNOV泛函 (h0 h)渐近稳定性 (h0 h)一致渐近稳定性 零解 finite delay difference equations Liapunov functionals (h 0,h) asymptotic stability ( h 0,h ) uniform asymptotic stability
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参考文献4

  • 1ZHANG Shunian Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200240, China.An improvement in stability of delay difference systems[J].Chinese Science Bulletin,1998,43(7):544-547. 被引量:5
  • 2ZHANG Shu-nian. Stability of infinite delay difference systems[J]. Nonlinear Analysis,1994,22:1121-1129.
  • 3Shi B, Wang Z C, Yu J S. Stability and boundedness in difference systems with finite delay[J]. Computers Math Appl,1998,36(10-12):369-376.
  • 4Zhang Bo. Asymptotic stability in functional differential equations by Liapunov functionals [J]. Trans Amer Math Soc,1995,347:1375-1382.

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