Optimality conditions in a control problem for a linear system with bilinear functional

DOI10.3103/S1066369X18070058zbMath1407.49022OpenAlexW2811226661MaRDI QIDQ1794384

Elena Vladimirovna Aksenyushkina

Publication date: 15 October 2018

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x18070058

zbMATH Keywords

maximum principlesufficient optimality conditionsbilinear control problem

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Duality theory (optimization) (49N15) Optimality conditions for problems involving ordinary differential equations (49K15) Linear optimal control problems (49N05)

Cites Work

• Sufficient optimality conditions for a class of nonconvex control problems
• Linear Lyapunov-Krotov functions and sufficient conditions for optimality in the form of the maximum principle
• Sufficient optimality conditions for extremal controls based on functional increment formulas