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Robust Control Theory in Hilbert Space, Hardcover by Feintuch, Avraham, Like ...
- Item No : 388723008334
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* Item Description
- Robust Control Theory in Hilbert Space, Hardcover by Feintuch, Avraham, ISBN 0387982914, ISBN-13 9780387982915, Like New Used, Free shipping in the US
An operator theoretic approach to robust control analysis for linear time-varying systems, with the emphasis on the conceptual similarity with the H control theory for time-invariant systems. It clarifies the major difficulties confronted in the time varying case and all the necessary operator theory is developed from first principles, making th as self-contained as possible. After presenting the necessary results from the theories of Toeplitz operators and nest algebras, linear systems are defined as input-output operators and the relationship between stabilisation and the existence of co-prime factorisations is described. Uniform optimal control problems are formulated as model-matching problems and are reduced to four block problems, while robustness is considered both from the point of view of fractional representations and the "time varying gap" metric, as is the relationship between these types of uncertainties. Th closes with the solution of the orthogonal embedding problem for time-varying contractive systems. As such, this book is useful to both mathematicians and to control engineers.
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