First-order approximations for differential inclusions

DOI10.1007/BF01027089zbMath0811.34011MaRDI QIDQ1332529

Zvi Artstein

Publication date: 31 August 1994

Published in: Set-Valued Analysis (Search for Journal in Brave)

zbMATH Keywords

differential inclusioninitial value problemconvergence rates for polygonal approximations of the attainable set

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Ordinary differential inclusions (34A60)

Related Items (10)

Differential equations for closed sets in a Banach space, survey and extension ⋮ A calculus for set-valued maps and set-valued evolution equations ⋮ Fixed set iterations for relaxed Lipschitz multimaps. ⋮ Discrete approximations and optimization of evolution inclusions ⋮ A differential inclusion approach for modeling and analysis of dynamical systems under uncertainty ⋮ Discrete approximations, relaxation, and optimization of one-sided Lipschitzian differential inclusions in Hilbert spaces ⋮ APPROXIMATION OF LOWER SEMICONTINUOUS DIFFERENTIAL INCLUSIONS ⋮ Limits of nonlinear discrete-time control systems with fast subsystems ⋮ Optimal control of difference, differential, and differential-difference inclusions ⋮ Existence theory for semilinear evolution inclusions involving measures

Cites Work

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• Error estimates for discretized differential inclusions
• Second order discrete approximations to strongly convex differential inclusions
• Extensions of Lipschitz selections and an application to differential inclusions
• The Exponential Formula for the Reachable Set of a Lipschitz Differential Inclusion
• Second-Order Discrete Approximation to Linear Differential Inclusions
• Difference Methods for Differential Inclusions: A Survey

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