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多个李雅普诺夫函数方法与实际渐近稳定 被引量:1

The Method of Several Lyapunov Functions and the Practically Asymptotical Stability
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摘要 利用多个李雅普诺夫函数方法得到非线性微分系统关于两个测度的实际渐近稳定。 Using the method of several functions, the practically asymptotical stability for the nonlinear differential system is obtained.
出处 《科学技术与工程》 2003年第5期393-394,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(Z2000A2)
关键词 李雅普诺夫函数 非线性微分系统 测度 积分 李普希兹条件 h-positive definite integral positivity practically asymptotical stability in terms of two measures Lyapunov functions
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参考文献5

  • 1[1]Lakshimikanthan V, Liu Xinzhi. Stability analysis in terms of two measure.Singapore: World Scientific, 1993:54-67
  • 2[2]Liu Xinzhi. On (ho, h )-stability of autonomous system. J Appl Math Stochastic Anal, 1992;4:331-348
  • 3[3]Fu Xilin, Liu Xinzhi. Razumikhin-type theorems on boundness in terms of two measures for functional differential systems. Dynamic Systems & Applications, 1997;6:589-598
  • 4[4]Lakshimikanthan V, Liu Xinzhi, Sathananathan S. Impulsive integro-differential equations and extensions of Lyapunov' s method. Appl Aal, 1989;32:203-214
  • 5[5]Fu Xilin, Liu Xinzhi. Stability criteria in terms of two measures for discrete systems. Computers Math Applic, 1998;36(10-12) :327-337

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