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Publication date: 1 March 1988

G.K. KULEV and D.D. BAINOV

In this paper the asymptotic and globally asymptotic stability of the zero solution of systems with impulses is investigated. For this purpose piecewise continuous auxiliary…

26

Abstract

In this paper the asymptotic and globally asymptotic stability of the zero solution of systems with impulses is investigated. For this purpose piecewise continuous auxiliary functions are used which are an analogue to Lyapunov's functions. The theorem of Marachkov on the asymptotic stability of systems without impulses is generalized. The results obtained are formulated in four theorems.

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COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol. 7 no. 3
Type: Research Article
ISSN: 0332-1649

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Article
Publication date: 1 March 1997

D.D. Bainov and I.M. Stamova

Investigates the global stability of the zero solution of an impulsive system of differential‐difference equations with variable impulsive perturbations. By means of piecewise…

635

Abstract

Investigates the global stability of the zero solution of an impulsive system of differential‐difference equations with variable impulsive perturbations. By means of piecewise continuous functions which are analogues of Lyapunov’s functions, and of the comparison principle, sufficient conditions for global stability of the zero solution of the systems considered are found.

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COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol. 16 no. 1
Type: Research Article
ISSN: 0332-1649

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