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Asymptotic stability of systems with impulses by the direct method of Lyapunov

Published online by Cambridge University Press:  17 April 2009

G.K. Kulev  and
D.D. Bainov
G.K. Kulev
Affiliation:
Plovdiv University, “Plissii Hilendarski”, Bulgaria
D.D. Bainov
Affiliation:
Plovdiv University, “Plissii Hilendarski”, Bulgaria
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Abstract

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

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 38 , Issue 1 , August 1988 , pp. 113 - 123
Copyright
Copyright © Australian Mathematical Society 1988

References

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