Stability radius of non-smooth pritchard-salamon systems and the algebraic Riccati equation |
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| Authors: | Weisheng Jiang Falun Huang Tingyu Zhu |
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| Institution: | (1) College of Mathematics and Physics, Chongqing University, Chongqing, 400044, China;(2) College of Mathematics, Sichuan University, Chengdu, 610064, China |
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| Abstract: | The authors discuss the stability radius of the non-smooth Pritchard-Salamon systems under structured perturbations. A formula
for the stability radius in terms of the norm of a certain input-output operator is obtained. Furthermore, the relationship
between stability radius and the solvability of some type of algebraic Riccati equations is given.
This research is supported by the National Natural Science Foundation of China under Grant Nos. 10626057 and 10571165. |
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| Keywords: | Operator Riccati equation Pritchard-Salamon system stability radius |
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