Sufficient optimality conditions for Pontryagin extremals

DOI10.1016/0167-6911(92)90076-5zbMath0766.49017OpenAlexW1992307632MaRDI QIDQ1205732

Andrej V. Sarychev

Publication date: 1 April 1993

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(92)90076-5

zbMATH Keywords

bounded controlstheory of second variationPontryagin extremalsfirst-order necessary optimality conditionaffine control system\(L_ 1\)-local optimality2nd order sufficient optimality conditionsindex and nullity theorems

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 (2)

Extremal controls for chained systems ⋮ Minimum Time Optimality of a Partially Singular Arc: Second Order Conditions

Cites Work

• Quadratic mappings in geometric control theory
• High-order necessary conditions of optimality for nonlinear control systems
• Local invariants of smooth control systems
• First- and Second-Order Sufficient Optimality Conditions for Bang-Bang Controls
• A High Order Test for Optimality of Bang–Bang Controls
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