Analysis of the Trajectory Set of Nonlinear Dynamics: Systems with Aftereffect under Impulsive Disturbances

作者:Martynyuk A A*; Martynyuk Chernienko Yu A
来源:Differential Equations, 2014, 50(4): 453-463.
DOI:10.1134/S0012266114040041

摘要

We prove a theorem of the comparison principle with the use of an auxiliary matrix function defined on the product of spaces and a general theorem that permits one to analyze the stability of a stationary solution of a set of systems of impulsive equations with aftereffect on the basis of a scalar comparison equation. We obtain sufficient stability conditions for the case in which both the continuous and the discrete component of the system may have unstable zero solution.

  • 出版日期2014-4

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