Euler appoximation of the feasible set

DOI10.1080/01630569408816564zbMath0833.65060OpenAlexW1977206570MaRDI QIDQ4296721

William W. Hager, Asen L. Dontchev

Publication date: 18 July 1994

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

Full work available at URL: https://doi.org/10.1080/01630569408816564

zbMATH Keywords

optimal controlconvergencedifferential inclusionsEuler method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving ordinary differential equations (49J15) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Discrete approximations in optimal control (49M25)

Related Items (4)

An Optimal Control Problem with Terminal Stochastic Linear Complementarity Constraints ⋮ Algorithm of uniform filling of nonlinear dynamic system reachable set based on maximin problem solution ⋮ A differential inclusion approach for modeling and analysis of dynamical systems under uncertainty ⋮ Algorithm for piecewise-linear approximation of the reachable set boundary

Cites Work

• Unnamed Item
• Well-posed optimization problems
• On difference approximations of optimal control systems
• Lipschitz Behavior of Solutions to Convex Minimization Problems
• Lipschitzian properties of multifunctions
• Difference Methods for Differential Inclusions: A Survey
• Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
• Metric regularity, openness and Lipschitzian behavior of multifunctions
• Finite-Dimensional Approximations of State-Constrained Continuous Optimal Control Problems

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