Approximability of nonlinear affine control systems

DOI10.1016/j.nahs.2010.07.005zbMath1225.93048OpenAlexW2139267778MaRDI QIDQ547908

Vadim Azhmyakov, Alexander S. Poznyak, Leonid M. Fridman, Magnus B. Egerstedt

Publication date: 27 June 2011

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2010.07.005

zbMATH Keywords

optimizationdifferential inclusionshybrid systemsaffine systemssliding mode controls

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Design techniques (robust design, computer-aided design, etc.) (93B51) Variable structure systems (93B12) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (7)

Application of the Projected Dynamics to Hybrid Systems and to the Sliding Mode Control Processes ⋮ Consistent approximations of the Zeno behaviour in affine-type switched dynamic systems ⋮ Consistent approximations and variational description of some classes of sliding mode control processes ⋮ On the set-valued approach to optimal control of sliding mode processes ⋮ A proximal point based approach to optimal control of affine switched systems ⋮ Dr. Alexander Semionovich Poznyak Gorbatch: Biography ⋮ Applications of the strong approximability property to a class of affine switched systems and to relaxed differential equations with affine structure

Cites Work

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• Modern sliding mode control theory. New perspectives and applications
• Optimal control of impulsive hybrid systems
• Sliding modes in control and optimization. Transl. from the Russian
• Optimal control theory
• Principles of optimal control theory. Translated from Russian by Karol Makowski. Translation editor Leonard D. Berkovitz
• Nondegenerate necessary conditions for nonconvex optimal control problems with state constraints
• Switching in systems and control
• Approximations of relaxed optimal control problems
• Introduction to the Theory of Nonlinear Optimization
• On the Maximum Principle for Impulsive Hybrid Systems
• A Hybrid Bellman Equation for Bimodal Systems
• Measurable relations
• A unified framework for hybrid control: model and optimal control theory
• Higher-order sliding modes, differentiation and output-feedback control
• Optimal control of a class of hybrid systems
• Universal single-input-single-output (SISO) sliding-mode controllers with finite-time convergence
• Transition-Time Optimization for Switched-Mode Dynamical Systems
• Reachability and Control Synthesis for Piecewise-Affine Hybrid Systems on Simplices
• On the Hybrid Optimal Control Problem: Theory and Algorithms
• Theoretical Numerical Analysis

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