Second Order Optimality Conditions for Controls with Continuous and Bang-Bang Components

DOI10.1007/0-387-33882-9_28zbMath1214.49021OpenAlexW1499399342MaRDI QIDQ3004444

Helmut Maurer, Nikolaĭ P. Osmolovskiĭ

Publication date: 1 June 2011

Published in: IFIP International Federation for Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/0-387-33882-9_28

zbMATH Keywords

quadratic formbang-bang controlPontryagin's minimum principlecritical conesecond order necessary and sufficient conditionsstrengthened Legendre condition

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) 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 (2)

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

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