On the problem of control for ellipsoidal motions

DOI10.1134/S0081543812040116zbMath1295.93034MaRDI QIDQ742254

Alexander B. Kurzhanski

Publication date: 18 September 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian formalismnonlinear analysisclosed-loop (feedback) strategieslinear-convex systemsmatrix-valued dynamic programming equationsopen-loop (programmed) strategiessystems with ellipsoidal-valued trajectoriestarget control

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Design techniques (robust design, computer-aided design, etc.) (93B51) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (2)

Alexander Borisovich Kurzhanskiĭ (on the occasion of his 75th birthday) ⋮ Estimates of reachable sets of control systems with nonlinearity and parametric perturbations

Cites Work

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• On synthesizing team target controls under obstacles and collision avoidance
• Optimization of output feedback control under set-membership uncertainty
• The problem of control for multi-agent motion: general relations
• Ellipsoidal calculus for estimation and control
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Variational Analysis
• Convex Analysis
• Minimax Theorems
• Decomposition and suboptimal control in dynamic systems
• Set-theoretic methods in control
• Dynamic optimization for reachability problems.

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