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

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DOI: 10.4236/am.2014.521323    4,070 Downloads   4,953 Views  Citations

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.

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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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