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Exponential stability of dynamic equations on time scales

Abstract

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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Correspondence to Allan C Peterson.

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Peterson, A.C., Raffoul, Y.N. Exponential stability of dynamic equations on time scales. Adv Differ Equ 2005, 858671 (2005). https://doi.org/10.1155/ADE.2005.133

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