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Impulsive Stabilization of Linear Delay Differential Equations

L. Berezansky·E. Braverman
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Abstract

The paper is concerned with stabilization of a scalar delay differention equation $$ {\dot x}(t) - \sum_{k=1}^m A_k(t)x[h_k(t)] = 0,~t\geq 0,~ x(ξ)=φ(ξ), ξ<0, $$ by introducing impulses in certain moments of time $$ x(τ_j) = B_j x(τ_j -0), ~j=1,2, \dots ~. $$ Explicit stability results are presented both for the equation with positive coefficients and for the equation with $A_k$ being of arbitrary sign.

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BibTeXRIS

L. Berezansky, E. Braverman. 1995-02-21. Impulsive Stabilization of Linear Delay Differential Equations. https://arxiv.org/abs/funct-an/9502005

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