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

  • Harbin Shipbuilding Engineering Institute

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  • Received Date: December 31, 1991
  • Revised Date: June 30, 1992
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  • 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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