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Bainov, D. D.; Stamova, I. M.

Vector Lyapunov functions and conditional stability for systems of impulsive differential-difference equations. (English) Zbl 0980.93074

ANZIAM J. 42, No. 3, 341-353 (2001).
The authors have found sufficient conditions for conditional stability of the zero solution of a system of impulsive differential-difference equations. The piecewise continuous vector functions, which are analogues of the classical Lyapunov functions, and the compension method have been used for this goal.
Reviewer: Sebastian Aniţa (Iaşi)

Cited in 1 Document

MSC:

93D30 Lyapunov and storage functions
34K20 Stability theory of functional-differential equations
34K45 Functional-differential equations with impulses

Keywords:

vector Lyapunov functions; sufficient conditions; conditional stability; impulsive differential-difference equations
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\textit{D. D. Bainov} and \textit{I. M. Stamova}, ANZIAM J. 42, No. 3, 341--353 (2001; Zbl 0980.93074)
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