A Tikhonov-type theorem for singularly perturbed differential inclusions
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Publication:4879077
DOI10.1016/0362-546X(95)00003-EzbMath0852.34058OpenAlexW2069471348MaRDI QIDQ4879077
Asen L. Dontchev, Iordan Slavov, Tzanko Donchev
Publication date: 11 December 1996
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(95)00003-e
Ordinary differential inclusions (34A60) Singular perturbations for ordinary differential equations (34E15)
Related Items (14)
Singular perturbations for differential equations and inclusions: An approach through constrained systems ⋮ Analysis of the Implicit Euler Time-Discretization of Semiexplicit Differential-Algebraic Linear Complementarity Systems ⋮ Differential inclusions with stable subinclusions ⋮ A Filippov approximation theorem for strengthened one-sided Lipschitz differential inclusions ⋮ Analysis for a class of singularly perturbed hybrid systems via averaging ⋮ A generalization of the Tikhonov theorem for singularly perturbed differential inclusions ⋮ Averaging of three time scale singularly perturbed control systems ⋮ On average control generating families for singularly perturbed optimal control problems with long run average optimality criteria ⋮ Limits of nonlinear discrete-time control systems with fast subsystems ⋮ Invariant measures of differential inclusions applied to singular perturbations ⋮ Limit occupational measures set for a control system and averaging of singularity perturbed control systems ⋮ On singular perturbations for differential inclusions on the infinite interval ⋮ Averaging and linear programming in some singularly perturbed problems of optimal control ⋮ An averaging method for singularly perturbed systems of semilinear differential inclusions with analytic semigroups
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