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Backward Perturbation Analysis of the Periodic Discrete-Time Algebraic Riccati Equation

Backward Perturbation Analysis of the Periodic Discrete-Time Algebraic Riccati Equation

Normwise backward errors and residual bounds for an approximate Hermitian positive semidefinite solution set to the periodic discrete-time algebraic Riccati equation are obtained. The results are illustrated by using simple numerical examples.