A Characterization of Well-Posed Optimal Control Systems
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Publication:3923167
DOI10.1137/0319038zbMath0469.49021OpenAlexW2014969042MaRDI QIDQ3923167
Publication date: 1981
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0319038
minimizing sequencequadratic optimal control problemHadamard well-posednessTykhonov well-posednessaffine dynamicsdense well-posedness
Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)
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On the nonuniqueness and instability of solutions of tracking-type optimal control problems ⋮ Well-posed control problems related to second-order differential inclusions ⋮ Remark on the well-posedness of the problem of minimization of integral functionals ⋮ Method of Tikhonov regularization in a problem of optimal control of a nonlinear parabolic system ⋮ Approximation methods in optimal control problems for nonlinear infinite-dimensional systems ⋮ A convergence result for a sequence of distributed-parameter optimal control problems ⋮ Hadamard and Tyhonov well-posedness of a certain class of convex functions ⋮ Optimal control of a singular evolution equation with a nonsmooth operator and fixed terminal state ⋮ Optimal control in nonlinear infinite-dimensional systems with nondifferentiability of two types ⋮ Optimization for nonlinear hyperbolic equations without the uniqueness theorem for a solution of the boundary-value problem ⋮ Sequential differentiation and its application to the theory of nonsmooth extremum problems
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