The theorem of the stability of linear nonautonomous systems under the frequently-acting perturbation and its application in the stability analysis of robot
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The necessary and sufficient condition of the stability of linear nonautonomous system under the frequently-acting perturbation has been given and proved on the basis of  and , and the theorem of the equivalence on the uniform and asymptotical stability in the sense of Liapunov and the stability under the frequently-acting perturbation of linear nonautonomous system has been given in this paper. Besides, the analysis of the dynamic stability of robot has been presented by applying the theorem in this paper, which is closer to reality.
Key wordsstability nonautonomous system frequently-acting perturbation state transition matrix robot
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