The variational maximum principle and second-order optimality conditions for impulse processes and singular processes

DOI10.1007/BF02104943zbMath0833.49015OpenAlexW2046838141MaRDI QIDQ1897965

Vladimir Aleksandrovich Dykhta

Publication date: 18 September 1995

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02104943

zbMATH Keywords

optimal controloptimality conditionsimpulse processimpulse-trajectory extensionPontryagin minimum conditions

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (8)

Second-order necessary optimality conditions in optimal impulsive control problems ⋮ Periodic controls in step 2 strictly convex sub-Finsler problems ⋮ A geometrically based criterion to avoid infimum gaps in optimal control ⋮ Lack of BV bounds for impulsive control systems ⋮ Normality and gap phenomena in optimal unbounded control ⋮ \(\mathcal{L}^1\) limit solutions for control systems ⋮ Infimum gaps for limit solutions ⋮ A Higher-Order Maximum Principle for Impulsive Optimal Control Problems

Cites Work

• On a constrained variational problem and the space of horizontal paths
• Reduction of nonholonomic variation problems to isoperimetric ones and connections in principal bundles
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