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The problems of H/sub infinity / analysis and synthesis of discrete-time systems with block-diagonal real time-varying uncertainty are considered. It is shown that these problems can be converted into scaled H/sub infinity / analysis and synthesis problems. The problems of quadratic stability analysis and quadratic stabilization of these types of systems are dealt with as a special case. The results on synthesis are established for general linear dynamic output feedback control.>
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IEEE Transactions on Automatic Control
Nanyang Technological University
University of Newcastle Australia
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Souza et al. (Mon,) studied this question.