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• W2334438377 abstract "Abstract This paper shows that the controllable and unobservable subspaces of the discrete‐time H 2 optimal controller can be characterized by the image and kernel spaces of two matrices Z 2 and W 2, where Z 2 and W 2 are positive semi‐definite solutions of two pertinent Lyapunov equations whose coefficients involve the stabilizing solutions of two celebrated discrete‐time algebraic Riccati equations (DAREs) used in solving the H 2 optimal control problem. By suitably choosing the bases adapted to Z 2 and W 2, a minimal order state‐space realization of an H 2 optimal controller is then given via an elegant geometric approach. In terms of geometric language, all the results and proofs given are clear and simple." @default.
• W2334438377 created "2016-06-24" @default.
• W2334438377 creator A5048119453 @default.
• W2334438377 creator A5052499774 @default.
• W2334438377 creator A5059928683 @default.
• W2334438377 date "2010-04-01" @default.
• W2334438377 modified "2023-09-27" @default.
• W2334438377 title "A geometric approach to optimal state‐space solutions with minimal realization for standard discrete‐timeH2control problem" @default.
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• W2334438377 doi "https://doi.org/10.1080/02533839.2010.9671631" @default.
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