Sufficient conditions of stability for nonlinear systems with impulse effect (Q2906191)
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scientific article; zbMATH DE number 6077203
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sufficient conditions of stability for nonlinear systems with impulse effect |
scientific article; zbMATH DE number 6077203 |
Statements
5 September 2012
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differential equations with impulse effect
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asymptotic stability
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direct Lyapunov method
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Sufficient conditions of stability for nonlinear systems with impulse effect (English)
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An approach developed earlier by the first author for ordinary differential equations [Differ. Uravn. 14, 1124--1127 (1978; Zbl 0432.34029)] is extended to equations with impulsive effect. Theorems on sufficient conditions for asymptotic stability and instability are formulated in terms of the properties of piece-wise differentiable Lyapunov functions. A proof of the theorem on asymptotic stability is given in detail. An illustrative example is presented.
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