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Stability of nonlinear systems with variable-time impulses: B-equivalence method

Chuandong Li*, Yinghua Zhou, Hui Wang, and ingwen Huang
International Journal of Control, Automation, and Systems, vol. 15, no. 5, pp.2072-2079, 2017

Abstract : "This paper addresses the stability problem of nonlinear systems with variable-time impulses. By Bequivalence method, we shall show that under the well-selected conditions each solution of the considered systems will intersect each surface of discontinuity exactly once, and that the considered systems can be reduced to the fixedtime impulsive ones, which can be regarded as the comparison systems of the considered variable-time impulsive systems. Based on the stability theory of fixed-time impulsive systems, we propose a set of stability criteria for the variable-time impulsive systems. The theoretical results are illustrated by impulsive stabilization of Chua circuit."

Keyword : B-equivalence, Chua circuit, impulsive control systems, variable-time impulse

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