APPROXIMATION OF LOWER SEMICONTINUOUS DIFFERENTIAL INCLUSIONS

DOI10.1081/NFA-100103787zbMath0987.65065OpenAlexW2135542361MaRDI QIDQ2748921

Tzanko Donchev

Publication date: 23 June 2002

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/nfa-100103787

zbMATH Keywords

Hilbert spaceEuler approximationslower-semicontinuous differential inclusions

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Evolution inclusions (34G25) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (5)

On the relationship between continuous- and discrete-time control systems ⋮ The integer approximation error in mixed-integer optimal control ⋮ Relaxation of Euler-Type Discrete-Time Control System ⋮ Discrete approximations, relaxation, and optimization of one-sided Lipschitzian differential inclusions in Hilbert spaces ⋮ On the discretization of switched linear systems

Cites Work

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• Error estimates for discretized differential inclusions
• The implicit midpoint rule applied to discontinuous differential equations
• First-order approximations for differential inclusions
• Regular and singular perturbations of upper semicontinuous differential inclusions
• Difference Methods for Differential Inclusions: A Survey
• Differential inclusions with stable subinclusions
• Lower semicontinuous differential inclusions. One-sided Lipschitz approach
• On the Time-Discretization of Control Systems
• Stability and Euler Approximation of One-sided Lipschitz Differential Inclusions
• Consistent Approximations for Optimal Control Problems Based on Runge–Kutta Integration

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