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非线性脉冲微分系统的实际稳定性 被引量:1

Practical Stability of Nonlinear Impulsive Differential Systems
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摘要 运用李雅普诺夫直接方法研究了脉冲微分系统及其摄动系统关于两个测度的实际稳定性。 The practical stability in terms of two measures of impulsive differential systems and its perturbed systems is de-veloped by Lyapunov direct method.
作者 郭飞 傅希林
出处 《科学技术与工程》 2003年第2期102-103,共2页 Science Technology and Engineering
基金 国家自然科学基金(10171057) 山东省自然科学基金(Z2000A02)
关键词 脉冲微分系统 直接方法 实际稳定 impulsive differential systems direct method practical stability
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参考文献6

  • 1[1]Liu Xinzhi. Further extensions of the direct method and stability of impulsive systems, Nonline. World, 1994; (1) :341-354
  • 2[2]Fu Xilin, Liu Xinzhi. Uniform boundedness and stability criteria in terms of two measures for impulsive integro-differential equations. Appl Math Comp, 1999;102:237-256
  • 3[3]Fu Xilin, Qi Jiangang, Liu Yangsheng. General comparisen principle for impulsive variable time differential equations with applications. Nonlinear Anal,2000 ;42:1421- 1429
  • 4[4]Feng Weijie, Fu Xilin. Eventual stability in terms of two measures of nonlinear differential systems, Vietamn Journal of Mathematics ,2000;28(2): 143- 151
  • 5[5]Lskshmikantham V, Liu Xinshi. Stability analysis in terms of two measures.Singapore: World scientific, 1993:55-67
  • 6[6]Lakshmikantham V, Bainov D D, Soneonov P S. Theory of impulsive systems. Singapore: World scientific, 1989:134-135

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