A proximal point based approach to optimal control of affine switched systems

DOI10.1007/s10626-011-0109-8zbMath1242.49080OpenAlexW2128547040MaRDI QIDQ434456

Jörg Raisch, Vadim Azhmyakov, Michael V. Basin

Publication date: 10 July 2012

Published in: Discrete Event Dynamic Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10626-011-0109-8

zbMATH Keywords

optimal controlaffine systemsproximal point algorithmswitching control systems

Mathematics Subject Classification ID

Numerical methods based on nonlinear programming (49M37) Nonlinear systems in control theory (93C10) Regularity of solutions in optimal control (49N60) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15)

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Cites Work

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• Optimal mode-switching for hybrid systems with varying initial states
• Approximability of nonlinear affine control systems
• Optimal control of a rotary crane
• Sliding modes in control and optimization. Transl. from the Russian
• Numerical solution of singular control problems using multiple shooting techniques
• Switching in systems and control
• Strong convergence of a proximal-based method for convex optimization
• SQP-methods for solving optimal control problems with control and state constraints: Adjoint variables, sensitivity analysis and real-time control
• On an optimization problem for a class of impulsive hybrid systems
• Forcing strong convergence of proximal point iterations in a Hilbert space
• Supervisory control of hybrid systems within a behavioural framework
• Gradient descent approach to optimal mode scheduling in hybrid dynamical systems
• Adaptive control of linearizable systems
• On the Maximum Principle for Impulsive Hybrid Systems
• Optimal impulsive control of delay systems
• Monotone Operators and the Proximal Point Algorithm
• A unified framework for hybrid control: model and optimal control theory
• Optimal control of a class of hybrid systems
• Convex Control Systems and Convex Optimal Control Problems With Constraints
• On-Line Optimization of Switched-Mode Dynamical Systems
• Transition-Time Optimization for Switched-Mode Dynamical Systems
• On the Hybrid Optimal Control Problem: Theory and Algorithms
• Theoretical Numerical Analysis
• Hybrid Necessary Principle
• Optimal controller for uncertain stochastic polynomial systems with deterministic disturbances
• Convex Analysis

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