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Stability analysis of linear impulsive differential systems under structural perturbation

Аналіз стійкості лінійних диференціальних імпу льсних систем із структурними зБуреннями

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Ukrainian Mathematical Journal Aims and scope

Abstract

The stability and asymptotic stability of the solutions of large-scale linear impulsive systems under structural perturbations are investigated. Sufficient conditions for stability and instability are formulated in terms of the fixed signs of special matrices.

Abstract

Досліджуються стійкість та асимптотична стійкість возв'язків великомасштабної лінійної імпульсної системи при структурних збуреннях. Достатні умови стійкості та нестійкості сформульовані на основі знаковизначеності спеціальних матриць.

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Authors and Affiliations

  1. Inst. Mech. Nat. Acad. Sci. Ukraine, Kiev

    A. A. Martynyuk

  2. Univ. Ioannina, Greece

    I. P. Stavroulakis

Authors
  1. A. A. Martynyuk
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  2. I. P. Stavroulakis
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Additional information

This work was done while the author was visiting the Department of Mathematics, University of Ioannina, in the framwork of the NATO Science Fellowships Programme through the Greek Ministry of National Economy.

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Martynyuk, A.A., Stavroulakis, I.P. Stability analysis of linear impulsive differential systems under structural perturbation. Ukr Math J 51, 784–795 (1999). https://doi.org/10.1007/BF02487563

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  • DOI: https://doi.org/10.1007/BF02487563

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