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.
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Kyoto Univ, Grad Sch Informat, Dept Appl Math & Phys, Sakyo Ku, Kyoto 6068501, JapanKyoto Univ, Grad Sch Informat, Dept Appl Math & Phys, Sakyo Ku, Kyoto 6068501, Japan
Kojima, Chiaki
Takaba, Kiyotsugu
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机构:Kyoto Univ, Grad Sch Informat, Dept Appl Math & Phys, Sakyo Ku, Kyoto 6068501, Japan
Takaba, Kiyotsugu
Kaneko, Osamu
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机构:Kyoto Univ, Grad Sch Informat, Dept Appl Math & Phys, Sakyo Ku, Kyoto 6068501, Japan
Kaneko, Osamu
Rapisarda, Paolo
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机构:Kyoto Univ, Grad Sch Informat, Dept Appl Math & Phys, Sakyo Ku, Kyoto 6068501, Japan