Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (2): 351-359.

• Articles • Previous Articles     Next Articles

Practical Stability of Nonlinear Differential Equations Relative to Initial Time Difference via Perturbing Lyapunov Functions

 LI An1, SONG Xin-Yu2, WANG Zhi-Xiang3   

  1. 1.School of Mathematical Sciences, Xiamen University, Fujian Xiamen 361005|2.Department of Mathematics, Xinyang Normal University, Henan Xinyang 464000|3.Department of Information and Electronic Engineering ICE, PLAUST, Nanjing 210007
  • Received:2008-12-08 Revised:2009-11-16 Online:2011-04-25 Published:2011-04-25
  • Supported by:

    国家自然科学基金(10771179)、河南省高校科技创新团队支持计划(2010IRTSTHN006)和河南省科技创新杰出人才支持计划(104200510011)资助

Abstract:

In this paper, the practical stability of nonlinear differential equations with solutions starting off with different initial times is investigated. Several practical stability criteria of nonlinear dynamical systems relative to initial time difference are presented by perturbing Lyapunov functions. The  results enrich the theory on practical stability of nonlinear differential equations relative to initial time difference.

Key words: Practical stability, Comparison principle, Initial time difference, Perturbing Lyapunov function

CLC Number: 

  • 34A37
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