Generalized exponential stability of differential equations with non-instantaneous impulses

A nonlinear system of differential equations with non-instantaneous impulses is studied. The generalized exponential stability with respect to non-instantaneous impulses is defined. Sufficient conditions by the help with Lyapunov functions are obtained. An appropriate example illustrating the influe...

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Bibliographic Details
Main Authors: Hristova, Snezhana, Ivanova, Krasimira, Kostadinov, Todor
Format: Conference Proceeding
Language:English
Subjects:
Differential equations
Impulses
Liapunov functions
Mathematical analysis
Nonlinear equations
Nonlinear systems
Stability
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Summary:A nonlinear system of differential equations with non-instantaneous impulses is studied. The generalized exponential stability with respect to non-instantaneous impulses is defined. Sufficient conditions by the help with Lyapunov functions are obtained. An appropriate example illustrating the influence of non-instantaneous impulses on the stability behavior of the solution is given.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5013972