期刊文献+

非线性脉冲摄动微分系统最终稳定性的若干新结果 被引量:1

Some New Results of Ultimate Stability of Nonlinear Perturbed Differential Systems with Impulsive Effects
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摘要 变分李雅普诺夫函数方法和比较原则相结合 。 Using variational Lyapunov method and comparison principle, some results of ultimate stability of perturbed differential systems through the corresponding ultimate stability properties of the unperturbed differential systems and the comparative system are gotten.
出处 《科学技术与工程》 2004年第6期437-438,441,共3页 Science Technology and Engineering
基金 国家自然科学基金 ( 10 1710 5 7) 山东省自然基金 (Z2 0 0 0A0 2 )资助
关键词 非线性微分系统 脉冲摄动 最终稳定性 变分李雅普诺夫函数 初值 impuls perturbation ultimate stability
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参考文献3

  • 1[1]Lakshmikantham V. Liu X. Stability analysis in terms of two measures. Singapore; World Scientific,1993
  • 2[2]Lakshmikantham V. Bainov D D, Simeonov P S. Theory of impulsive differential equations. Singapore; World Scientific,1989
  • 3[3]Liu X, Fu Xilin. Stability criteria in terms of two measures for discrete systems, Advances in difference equation, Ⅱ. Comput Math Appl,1998;36(10-12) :327-337

同被引文献4

  • 1[2]傅希林,闫宝强,刘衍胜.脉冲微分系统引论.北京:科学出版社,2004
  • 2[1]Lakshmikantham V,Bainov D D,Simeonov P S.Theory of impulsive differential equations.Singapore:World Scientific,1989
  • 3[5]Lakshmikantham V,Leela S.Cone-valued Lyapunov functions.Nonlinear Analysis,1977,1 (3):215-222
  • 4[6]Lakshmikantham V,Papageorgiou N S.Cone-valued Lyapunov functions and stability theory.Nonlinear Analysis,1994,22 (3):381-390

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