TITLE:
Combining Methods of Lyapunov for Exponential Stability of Linear Dynamic Systems on Time Scales
AUTHORS:
Nguyen Ngoc Huy, Dang Dinh Chau
KEYWORDS:
Time Scales, Exponential Stability, Linear Dynamic Equation
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.21,
December
11,
2014
ABSTRACT: Consider the linear dynamic equation on time scales (1)
where , ,is a rd-continuous function, T is a time scales. In this paper, we shall investigate some results for the exponential stability of the dynamic Equation (1) by combinating the first approximate method and the second method of Lyapunov.