A Nonquadratic Bolza Problem and a Quasi-Riccati Equation for Distributed Parameter Systems

DOI10.1137/0325049zbMath0632.49004OpenAlexW2060410977MaRDI QIDQ3769487

Yun-Cheng You

Publication date: 1987

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0325049

zbMATH Keywords

existence and uniquenessnormal solutionnonlinear integral equationBolza problemclosed-loop optimal controlfirst order necessary optimality conditionsnonquadratic cost functionquasi-Riccati operator equation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Groups and semigroups of linear operators (47D03) Control/observation systems in abstract spaces (93C25) Equations involving linear operators, with operator unknowns (47A62) Existence theories for problems in abstract spaces (49J27) Existence theories for optimal control problems involving partial differential equations (49J20) Initial value problems for linear higher-order PDEs (35G10) Optimality conditions for problems in abstract spaces (49K27) Higher-order parabolic equations (35K25)

Related Items (5)

Synthesis of time-variant optimal control with nonquadratic criteria ⋮ Forward-backward evolution equations and applications ⋮ Linear-nonquadratic optimal control problems with terminal inequality constraints ⋮ Numerical computation of the nonlinear feedback operators for the nonquadratic time-variant optimal control problems ⋮ A note on the synthesis of nonquadratic optimal control in a one-dimensional linear system

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