On the order of singular optimal control problems

DOI10.1007/BF00934035zbMath0421.49007MaRDI QIDQ1133138

W. F. Powers

Publication date: 1980

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

zbMATH Keywords

singular optimal controllinear-quadratic problemsswitching function

Mathematics Subject Classification ID

Algebraic methods (93B25) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (8)

Finding candidate singular optimal controls: A state of the art survey ⋮ Singular optimal control problems: On the order of a singular arc ⋮ Practical optimal state feedback control law for continuous-time switched affine systems with cyclic steady state ⋮ A modified pseudospectral method for solving trajectory optimization problems with singular arc ⋮ React or wait: which optimal culling strategy to control infectious diseases in wildlife ⋮ Alternative control methods for DC-DC converters: An application to a four-level three-cell DC-DC converter ⋮ Abnormal and singular solutions in the target guarding problem with dynamics ⋮ A counterexample to a conjecture of McDanell

Cites Work

• The infinite-order singular problem
• Singular problems in optimal control—a survey
• The High Order Maximal Principle and Its Application to Singular Extremals
• On the Stability of the Existence of Singular Controls under Perturbation of the Control System
• A second variation test for singular extremals
• Necessary conditions for singular extremals
• A Generalized Legendre-Clebsch Condition for the Singular Cases of Optimal Control
• Necessary Conditions Joining Optimal Singular and Nonsingular Subarcs

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