SIAM Journal on Control and Optimization · 1998 · 31 citations · 6 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsOptimizationControl TheoryNonlinear ControlNonlinear DynamicsOptimal ControlConstructive MathematicsElliptic Partial Differential EquationsNonlinear Optimal ControlOptimal Control Existence TheoremsOptimal Control FormulationOptimal Control Of Nonlinear SystemsOptimality ConditionsUniqueness In Elliptic Equations
An optimal control problem for a nonlinear elliptic equation of logistic type is considered. Under certain assumptions, the existence of at least an optimal control is shown and an optimality system is derived. Then this system is used for proving the uniqueness of and a constructive approximation to the optimal control.
6