Cone valued Lyapunov functions and Lipschitz stability of nonlinear systems of differential equations

Olusola Akinyele

International Journal of Mathematics and Mathematical Sciences, 1996, vol. 19, 1-6

Abstract:

We introduce a new comparison result which will be an important tool when we apply cone valued Lyapunov like functions. We also introduce new concepts of ϕ 0 -uniform Lipschitz stability and ( λ , λ , ϕ 0 ) -practical stability and employ our comparison result to carry out stability analysis of nonlinear systems. Our results are also applicable to nonlinear perturbed systems.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:280125

DOI: 10.1155/S0161171296000622

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