SIAM Journal on Control and Optimization · 1984 · 209 citations · 9 references
Natural SciencesMathematicsDynamical SystemsOptimizationSystem DynamicsControl Of Dynamical SystemsControl SystemsControl TheoryFeedback ControlOptimal ControlStability TheoryControl AlgorithmsControl Of Differential SystemsControlsFeedbackFinite-dimensional Hilbert SpacesOptimal Control FormulationOptimal Feedback Control
We present an approximation framework for computation (in finite dimensional spaces) of Riccati operators that can be guaranteed to converge to the Riccati operator in feedback controls for abstract evolution systems in a Hilbert space. It is shown how these results may be used in the linear optimal regulator problem for a large class of parabolic systems.
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