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脉冲摄动微分系统的等度Lagrange稳定性 被引量:2

VARIATIONAL METHOD AND LAGRANGE STABILITY OF PERTURBED DIFFERENTIAL SYSTEMS WITH IMPULSIVE EFFECTS
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摘要 运用变分李雅普诺夫函数方法和比较定理得到了脉冲摄动微分系统关于两个测度Lagrange稳定性的充分条件 . By use of Variational Lyapunov Method and comparison theorem we establish some criteria on Lagrange stability of the perturbed differential systems with impulsive effects.
出处 《山东师范大学学报(自然科学版)》 CAS 2004年第2期4-6,共3页 Journal of Shandong Normal University(Natural Science)
基金 国家自然科学基金 ( 10 1710 5 7) 山东省重点科学基金 (Z 2 0 0 0A 0 2 )资助项目
关键词 变分李雅普诺夫函数 脉冲摄动微分系统 等度Lagrange稳定性 比较定理 variational Lyapunov function impuls Lagrange stability
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参考文献4

  • 1Lakshmikantham V, Liu X Z. Stability Analysis in Terms of Two Measures[M]. Singapore: World Sicentific, 1993.47 ~ 54
  • 2Lakshrikanthem V,Bainov D D, Simeonov P S.Theory of Impulsive Differential Equations[M].Singapore:World Scientific, 1989.27 ~ 50
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同被引文献6

  • 1Lakshmikantham V,Liu Xinzhi.Stability Analysis in Terms of Two Measures[M].Singapore:World Scientific,1993.1~70
  • 2Lakshmikantham V,Leela S.Differential and Integral Inequalities,Vol.I[M].New York:Academic Press,1969.21~50
  • 3Lakshmikantham V,Liu Xinzhi.Stability Analysis in Terms of Two Measures[M].Singapore:Word Scientific,1993.
  • 4Moore Jc.A new concept of Stability,M0-Stability[J].J Math Anal Appl,1985,112(1):1~13
  • 5Lao Huixue,Fu Xilin.(h0,h,M0)-Uniform stability properties for nonliear differential systerms[J].Vietnam Journal of Mathematics,2002,30(2):131~148
  • 6孙晓辉,傅希林.非线性微分系统的(h_0,h,M_0)-一致有界性质[J].科学技术与工程,2003,3(3):211-212. 被引量:2

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