Regular synthesis for the linear-quadratic optimal control problem with linear control constraints

DOI10.1016/0022-0396(80)90012-1zbMath0417.49014OpenAlexW2121551043MaRDI QIDQ755131

Pavol Brunovský

Publication date: 1980

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(80)90012-1

zbMATH Keywords

optimal controlregular synthesislinear-quadraticbounds on the number of switchings

Mathematics Subject Classification ID

Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (9)

Uniformly Lipschitz feedback optimal controls in a linear-quadratic framework ⋮ Non-Zenoness of piecewise affine dynamical systems and affine complementarity systems with inputs ⋮ Switching behavior of solutions of ordinary differential equations with abs-factorable right-hand sides ⋮ Bounds on the number of switchings for trajectories of piecewise analytic vector fields ⋮ Existence and uniqueness of constrained globally optimal feedback controls in a linear-quadratic framework ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Stratified Hamiltonians and the optimal feedback control ⋮ Stratified discontinuous differential equations and sufficient conditions for robustness

Cites Work

• Unnamed Item
• Functional analysis and time optimal control
• Disconjugacy
• A Bang-Bang Theorem with Bounds on the Number of Switchings

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