Optimization techniques for state-constrained control and obstacle problems

DOI10.1007/s10957-006-9029-4zbMath1103.49014OpenAlexW1997539213MaRDI QIDQ857579

Alexander B. Kurzhanski, Pravin P. Varaiya, Ian M. Mitchell

Publication date: 19 December 2006

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-006-9029-4

zbMATH Keywords

state constraintsvariational inequalitiesdynamic programmingnonlinear systemsobstacle problemscontrol synthesisconvex analysis

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Optimality conditions and duality in mathematical programming (90C46) Variational inequalities (49J40) Dynamic programming in optimal control and differential games (49L20)

Related Items (17)

Alexander Borisovich Kurzhanskiĭ (on the occasion of his 75th birthday) ⋮ On elimination of state constraints in the construction of reachable sets ⋮ Optimization techniques for state-constrained control and obstacle problems ⋮ On the attainability problem under state constraints with piecewise smooth boundary ⋮ Aleksandr Borisovich Kurzhanski (A tribute in honor of his seventieth birthday) ⋮ The flexible, extensible and efficient toolbox of level set methods ⋮ On the problem of output feedback control synthesis under uncertainty and finite-time observers ⋮ Hamilton–Jacobi–Bellman Equations ⋮ Optimization of output feedback control under set-membership uncertainty ⋮ On synthesizing team target controls under obstacles and collision avoidance ⋮ Minimax optimal control problem with state constraints ⋮ Viable set computation for hybrid systems ⋮ Preservation of stability of dynamical systems under homomorphisms ⋮ Internal approximations of reachable sets of control systems with state constraints ⋮ The problem of control for multi-agent motion: general relations ⋮ Weakly invariant sets of hybrid systems ⋮ On reachability analysis for nonlinear control systems with state constraints

Uses Software

• ToolboxLS

Cites Work

• Optimization techniques for state-constrained control and obstacle problems
• Controllers for reachability specifications for hybrid systems
• Level set methods and dynamic implicit surfaces
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Linear Matrix Inequalities in System and Control Theory
• Variational Analysis
• Minimax Theorems
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
• Dynamic optimization for reachability problems.
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