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.

Bibliographic Details
Main Authors: Youssef N. Raffoul, Allan C. Peterson
Format: Article
Language:English
Published: SpringerOpen 2005-05-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/ADE.2005.133
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:1687-1839
1687-1847