Sufficiency Criteria via Focal Points and via Coupled Points

DOI10.1137/0330006zbMath0780.49018OpenAlexW2062897874MaRDI QIDQ4006690

Vera Zeidan

Publication date: 26 September 1992

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0330006

zbMATH Keywords

Riccati equationsufficient conditionscoupled pointsgeneral quadratic functionalnonexistence of focal pointsnonlinear calculus of variationsvariable final endpoints

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items

Sufficient conditions for variational problems with variable endpoints: Coupled points ⋮ Solution differentiability for parametric nonlinear control problems with control-state constraints ⋮ Geometrical and topological methods in optimal control theory ⋮ The minimum plane path for movable end-points and the nonsimultaneous variations ⋮ A shooting algorithm for optimal control problems with singular Arcs ⋮ Discrete optimal control: The accessory problem and necessary optimality conditions ⋮ Riccati equations for linear Hamiltonian systems without controllability condition ⋮ Necessary quadratic conditions of extremum for discontinuous controls in optimal control problems with mixed constraints ⋮ Sufficient quadratic conditions of extremum for discontinuous controls in optimal control problems with mixed constraints ⋮ Coupled Intervals in the Discrete Optimal Control ⋮ Local minimality properties of circular motions in \(1/r^\alpha\) potentials and of the figure-eight solution of the 3-body problem ⋮ Coupled intervals in the discrete calculus of variations: necessity and sufficiency ⋮ Discrete Optimal Control: Second Order Optimality Conditions ⋮ Second Order Sufficiency Criteria for a Discrete Optimal Control Problem

This page was built for publication: Sufficiency Criteria via Focal Points and via Coupled Points