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Separation theorem for linearly constrained LQG optimal control
Authors:Andrew E.B. Lim   John B. Moore  Leonid Faybusovich
Affiliation:aDepartment of Systems Engineering, Research School of Information Sciences and Engineering, Australian National University, Canberra, ACT 0200, Australia;bDepartment of Mathematics, University of Notre Dame, Mail Distribution Center, Notre Dame, IN 46556, USA
Abstract:We solve the linearly constrained linear-quadratic (LQ) and linear-quadratic-Gaussian (LQG) optimal control problems. Closed-form expressions of the optimal controls are derived, and the Separation Theorem is generalized.
Keywords:Optimal control   Linear constraints   LQ control   LQG control   Separation Theorem
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