张书顺. 用状态转移矩阵的范数分析非定常系统在经常作用干扰下的稳定性[J]. 工程力学, 1993, 10(2): 88-92.
引用本文: 张书顺. 用状态转移矩阵的范数分析非定常系统在经常作用干扰下的稳定性[J]. 工程力学, 1993, 10(2): 88-92.
Zhang Shushun. ANALYSTS OF STABILITY OF NONAUTONOMOUS SYSTEMS UNDER FREQUENTLY-ACTING PERTURBATION BY THE NORM OF THE STATE TRANSITION MATRIX[J]. Engineering Mechanics, 1993, 10(2): 88-92.
Citation: Zhang Shushun. ANALYSTS OF STABILITY OF NONAUTONOMOUS SYSTEMS UNDER FREQUENTLY-ACTING PERTURBATION BY THE NORM OF THE STATE TRANSITION MATRIX[J]. Engineering Mechanics, 1993, 10(2): 88-92.

用状态转移矩阵的范数分析非定常系统在经常作用干扰下的稳定性

ANALYSTS OF STABILITY OF NONAUTONOMOUS SYSTEMS UNDER FREQUENTLY-ACTING PERTURBATION BY THE NORM OF THE STATE TRANSITION MATRIX

  • 摘要: 研究非定常系统在经常作用干扰下的稳定性是研究李雅普诺夫意义下稳定性的深化和发展,具有广泛的实际意义,因为干扰往往不是一次的。文中概述了在这方面的理论和应用研究成果,利用状态转移矩阵的范数,分析若干机电工程中的非定常系统的稳定性问题,而且,给出了采用电子计算机计算状态转移矩阵范数的方法。

     

    Abstract: The investigation of the stability of nonlinear nonautonomoussystems under the frequently acting perturbation, is the further developing of the study of the stability in Liapunov sense; and is of significancein practice since perturbations are often more than once in the time domain.The present paper present an analysis of the stability problems ofnon-autonomous systems in mechanical and electrical engineering by means of the norm of the state transition matrix is presented. A numerical method for computation of the norm of the state transition has been given.

     

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