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- W3121191310 abstract "This paper studies the behavior of singularly perturbed nonlinear differential equations with boundary-layer solutions that do not necessarily converge to an equilibrium. Using the average for the derivative of the slow state variables and assuming the boundary-layer solutions converge exponentially fast to a bounded set, which is possibly parameterized by the slow variable, results on the closeness of solutions of the singularly perturbed system to the solutions of the reduced average and boundary-layer systems over a finite time interval are presented. The closeness of solution error is shown to be of order O(ε) where ε is the perturbation parameter. Moreover, under the additional assumption of exponential stability of the reduced average system, practical exponential stability of the solutions of the singularly perturbed system is provided." @default.
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- W3121191310 date "2021-04-01" @default.
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- W3121191310 title "Practical exponential stability and closeness of solutions for singularly perturbed systems via averaging" @default.
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- W3121191310 doi "https://doi.org/10.1016/j.automatica.2020.109449" @default.
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