Combining Methods of Lyapunov for Exponential Stability of Linear Dynamic Systems on Time Scales - Applied Mathematics

AM > Vol.5 No.21, December 2014

Applied Mathematics

Volume 5, Issue 21 (December 2014)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Combining Methods of Lyapunov for Exponential Stability of Linear Dynamic Systems on Time Scales ()

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DOI: 10.4236/am.2014.521323 4,072 Downloads 4,958 Views Citations

Author(s)

Nguyen Ngoc Huy¹, Dang Dinh Chau²

Affiliation(s)

¹Department of Mathematics, Vietnam Water Resource University, Hanoi, Vietnam.
²Department of Mathematics, Vietnam National University of Science, Hanoi, Vietnam.

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.

KEYWORDS

Time Scales, Exponential Stability, Linear Dynamic Equation

Share and Cite:

Huy, N. and Chau, D. (2014) Combining Methods of Lyapunov for Exponential Stability of Linear Dynamic Systems on Time Scales. Applied Mathematics, 5, 3452-3459. doi: 10.4236/am.2014.521323.

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