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Sufficient conditions for uniform exponential stability and h -stability of some classes of dynamic equations on arbitrary time scales

Abstract : This paper investigates the exponential stability and -stability problems of some classes of nonlinear systems. First, we analyze the global uniform exponential stability for a class of integro-differential equations on time scales. We also derive some sufficient conditions for stability using an integral inequality approach. Then, we give an analysis of the -stability of some classes of linear systems under Lipschitz-type disturbances. To this end, some -stability criteria are established. Finally, numerical examples are proposed to illustrate the stability concepts.
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Submitted on : Tuesday, April 19, 2022 - 8:20:31 AM
Last modification on : Thursday, May 19, 2022 - 4:40:30 PM

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Bacem Ben Nasser, Khaled Boukerrioua, Michael Defoort, Mohamed Djemai, Mohamed Ali Hammami, et al.. Sufficient conditions for uniform exponential stability and h -stability of some classes of dynamic equations on arbitrary time scales. Nonlinear Analysis: Hybrid Systems, Elsevier, 2019, 32, pp.54-64. ⟨10.1016/j.nahs.2018.10.009⟩. ⟨hal-03644208⟩

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