Generalizations of singular optimal control theory

DOI10.1016/0005-1098(71)90024-0zbMath0269.49017OpenAlexW2010404172MaRDI QIDQ2563305

Peter J. Moylan, John B. Moore

Publication date: 1971

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(71)90024-0

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 (13)

Practical optimal state feedback control law for continuous-time switched affine systems with cyclic steady state ⋮ All optimal controls for the singular linear-quadratic problem without stability; a new interpretation of the optimal cost ⋮ Solutions to constrained optimal control problems with linear systems ⋮ Solution of the matrix Riccati equation in optimal control ⋮ Comments on ``optimally switched linear systems ⋮ A numerical framework for optimal control of switched input affine nonlinear systems subject to path constraint ⋮ Cheap control of the time-invariant regulator ⋮ Singular perturbations and order reduction in control theory - an overview ⋮ Continuity properties of the cheap-control problem without stability ⋮ Minimization of degenerate integral quadratic functionals ⋮ System structure and singular control ⋮ Optimal stochastic fault detection filter. ⋮ The singular solutions to a singular quadratic minimization problem†

Cites Work

• A note on a singular optimal control problem
• Optimal state estimation in high noise
• Optimal control of saturating linear plants for quadratic performance indices
• Unnamed Item

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