On the structure of the solutions of the constrained generalized discrete-time algebraic Riccati equation
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This paper introduces a new decomposition of the constrained generalized discrete-time algebraic Riccati equation arising in linear quadratic optimal control problems into two parts: the first part is an explicit expression which is common to all solutions. The second part can be either a reduced-order discrete-time algebraic Riccati equation with non-singular associated closed-loop matrix, or a symmetric Stein equation.
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