Singular perturbations for differential equations and inclusions: An approach through constrained systems

DOI10.1016/S0362-546X(97)00509-9zbMath0934.34043MaRDI QIDQ4266392

Marc Quincampoix

Publication date: 9 April 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

differential inclusionscontingent derivativesingular perturbationsconvergence of solutionsviability theorem

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Singular perturbations of ordinary differential equations (34D15) Singular perturbations for ordinary differential equations (34E15)

Related Items (3)

Averaging method for discontinuous Mayer's problem of singularly perturbed control systems ⋮ Averaging problem for weakly coupled nonexpansive control systems ⋮ On singular perturbations for differential inclusions on the infinite interval

Cites Work

• Singular perturbations in linear control systems with weakly coupled stable and unstable fast subsystems
• Measurable viability theorems and the Hamilton-Jacobi-Bellman equation
• Applications of Singular Perturbation Techniques to Control Problems
• Singularly Perturbed Optimal Control Problems. I: Convergence
• Differential inclusions with stable subinclusions
• A Tikhonov-type theorem for singularly perturbed differential inclusions
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