The conjugate point condition for smooth control sets

DOI10.1016/0022-247X(88)90085-6zbMath0657.49013MaRDI QIDQ1110802

No author found.

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

optimal controlconjugate pointRiccati-type equationJacobi necessary conditionZea, PZeidan, V.

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15) Hamilton-Jacobi theories (49L99)

Related Items

Neighboring extremal optimal control for mechanical systems on Riemannian manifolds ⋮ Combined homotopy and neighboring extremal optimal control ⋮ Geometrical and topological methods in optimal control theory ⋮ Conjugate intervals for the linear fixed-endpoint control problem ⋮ Sufficiency and sensitivity for nonlinear optimal control problems on time scales via coercivity ⋮ Conjugate points and shocks in nonlinear optimal control ⋮ Perturbations of extremal problems with constraints and necessary optimality conditions

Cites Work

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• Another Jacobi sufficiency criterion for optimal control with smooth constraints
• Second-order necessary conditions in optimal control: Accessory-problem results without normality conditions
• A second-order Lagrangian condition for restricted control problems
• On the conjugate point condition for the control problem
• An approach to nonlinear programming
• Necessary Conditions for Optimal Control Problems: Conjugate Points