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Sensitivity analysis of control constrained optimal control problems for distributed parameter systems. (English) Zbl 0647.49019
The author considers the differential stability of solutions to control constrained quadratic optimal control problems for distributed parameter systems and derives the form of the right-derivatives of optimal controls for such problems with respect to the real parameter. The differential sensitivity of optimal controls with respect to perturbations of the coefficients of the state equation as well as to deformations of the domain of integration is studied. The right-derivative of an optimal control with respect to the parameter is obtained in the form of an optimal control to the auxiliary control constrained optimal control problem.
Reviewer: P.Neittaamäki

MSC:
49K40 Sensitivity, stability, well-posedness
49K20 Optimality conditions for problems involving partial differential equations
93B35 Sensitivity (robustness)
93C20 Control/observation systems governed by partial differential equations
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