An invariant second variation in optimal control

DOI10.1080/002071798221533zbMath0945.49015OpenAlexW2142440350MaRDI QIDQ4955085

Pierluigi Zezza, Andrei A. Agrachev, Gianna Stefani

Publication date: 12 June 2000

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/002071798221533

zbMATH Keywords

linear-quadratic problemsecond variationoptimal control problemstrong Legendre condition

Mathematics Subject Classification ID

Linear-quadratic optimal control problems (49N10) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for problems in abstract spaces (49K27) Applications of variational problems to control theory (58E25)

Related Items (12)

Strong Local Optimality for a Bang-Bang-Singular Extremal: The Fixed-Free Case ⋮ Operators arising as second variation of optimal control problems and their spectral asymptotics ⋮ Functional determinants for the second variation ⋮ Bang-singular-bang extremals: sufficient optimality conditions ⋮ On the strong local optimality for state-constrained control-affine problems ⋮ Minimum-time strong optimality of a singular arc: The multi-input non involutive case ⋮ Strong local optimality for generalized L1 optimal control problems ⋮ Minimum Time Optimality of a Partially Singular Arc: Second Order Conditions ⋮ State-local optimality of a bang--bang trajectory: a Hamiltonian approach ⋮ Strong local optimality for a bang-bang-singular extremal: general constraints ⋮ Singular extremals inL¹-optimal control problems: sufficient optimality conditions ⋮ Second-Order Necessary Conditions for Optimal Control Problems with Endpoints-Constraints and Convex Control-Constraints

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