Exponential stability of dynamic equations on time scales

We investigate the exponential stability of the zero solution to a system of dynamic equations on time scales. We do this by defining appropriate Lyapunov-type functions and then formulate certain inequalities on these functions. Several examples are given.

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Bibliographic Details
Published in:Advances in difference equations 2005-01, Vol.2005 (2), p.858671-144
Main Authors: Peterson, Allan C, Raffoul, Youssef N
Format: Article
Language:English
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Description
Summary:We investigate the exponential stability of the zero solution to a system of dynamic equations on time scales. We do this by defining appropriate Lyapunov-type functions and then formulate certain inequalities on these functions. Several examples are given.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1155/ADE.2005.133