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Non-linear integral inequalities and applications to asymptotic stability. (English) Zbl 1328.93214
Summary: In this paper, some new nonlinear integral inequalities are established. These inequalities can be used in the study of stability problems of perturbed dynamic systems. As applications, based on these new inequalities, some sufficient conditions for global uniform asymptotic stability are obtained. A numerical example is presented to illustrate the applicability of the main result.

MSC:
93D20 Asymptotic stability in control theory
93C15 Control/observation systems governed by ordinary differential equations
93C10 Nonlinear systems in control theory
93C73 Perturbations in control/observation systems
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