Transformation of quadratic forms to perfect squares for broken extremals

DOI10.1023/A:1016588116615zbMath1050.49016MaRDI QIDQ1611762

Frank Lempio, Nikolaĭ P. Osmolovskiĭ

Publication date: 28 August 2002

Published in: Set-Valued Analysis (Search for Journal in Brave)

zbMATH Keywords

Riccati equationsufficient optimality conditionsperfect squaresbroken extremals

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (10)

Asymptotic approach on conjugate points for minimal time bang-bang controls ⋮ Geometric optimal control and applications to aerospace ⋮ On the notion of Jacobi fields in constrained calculus of variations ⋮ Convergence results for the discrete regularization of linear-quadratic control problems with bang-bang solutions ⋮ Second Order Sufficient Optimality Conditions for a Control Problem with Continuous and Bang-Bang Control Components: Riccati Approach ⋮ 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 ⋮ An implicit discretization scheme for linear-quadratic control problems with bang–bang solutions ⋮ The solution of riccati's equation asthe hessian of bellman's function ⋮ Note on local quadratic growth estimates in bang–bang optimal control problems

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