QUADRATIC CONDITIONS FOR A PONTRYAGIN MINIMUM IN AN OPTIMUM CONTROL PROBLEM LINEAR IN THE CONTROL. I: A DECODING THEOREM
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Publication:4731730
DOI10.1070/IM1987v028n02ABEH000882zbMath0682.49020OpenAlexW2071956399MaRDI QIDQ4731730
Publication date: 1987
Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/im1987v028n02abeh000882
Nonlinear systems in control theory (93C10) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15)
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Strong and weak measurable optimal controls ⋮ Second-order sufficient optimality conditions for control problems with linearly independent gradients of control constraints ⋮ Optimal control of a semilinear parabolic equation with singular arcs ⋮ Essential boundedness and singularity in optimal control ⋮ A shooting algorithm for optimal control problems with singular Arcs ⋮ Typicality of chaotic fractal behavior of integral vortices in Hamiltonian systems with discontinuous right hand side ⋮ Well-posedness of the shooting algorithm for control-affine problems with a scalar state constraint ⋮ Optimality Conditions (in Pontryagin Form) ⋮ Second order necessary and sufficient optimality conditions for singular solutions of partially-affine control problems ⋮ Quadratic Order Optimality Conditions for Extremals Completely Singular in Part of Controls ⋮ Minimization of degenerate integral quadratic functionals
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