l2-l∞ Filtering for Two-Dimensional Linear Parameter-Varying Systems
نویسندگان
چکیده
Answer: The purpose of introducing a constant matrix X in Theorem 2 is to make a decoupling between the matrix function P (ri,j) and the system dynamic matrices in Theorem 1. This decoupling technique enables us to obtain a more easily tractable condition for the filter synthesis. Therefore, the matrix X cannot be selected to be parameter-dependent. It seems that some conservatism will be introduced because of a constant matrix X, not a parameter-dependent one, but the motivation of doing this is to obtain a tractable filter synthesis condition (please refer to Remark 1 in Page 9).
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