Titlebook: Linear Multivariable Control; A Geometric Approach Walter Murray Wonham Book 19741st edition Springer-Verlag Berlin Heidelberg 1974 Mathema

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Noninteracting Control II: Efficient Compensation,orem 9.4 permits a further reduction of the bound (9.27) on dynamic order. The reduced bound turns out to be strictly minimal if the number of independent control inputs is equal to the number of output blocks to be decoupled. As these results are somewhat specialized and their proofs are intricate,

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Noninteracting Control III: Generic Solvability, the D. (i ∈ .). It turns out that noninteraction is possible for almost all data sets (A, B, D., ..., D.) if and only if the array dimensions of the given matrices satisfy appropriate constraints. When these conditions fail decoupling is possible, if at all, only for system structures which are rat

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Quadratic Optimization I: Existence and Uniqueness,stem spectrum, but in the main have sought to realize very general properties of signal flow, as in tracking or noninteraction. By contrast, in this chapter and the next we take a somewhat more quantitative approach to realizing good dynamic response. We describe a systematic way of computing linear

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Linear Multivariable Control978-3-662-22673-5Series ISSN 0075-8442 Series E-ISSN 2196-9957

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Lecture Notes in Economics and Mathematical Systemshttp://image.papertrans.cn/l/image/586351.jpg

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Mathematical Preliminaries,We quickly review linear algebra and the rudiments of linear dynamic systems. Almost nothing is proved: detailed developments can be found in the textbooks listed at the end of the chapter. The reader unfamiliar with this material is advised to sample Ex. 0.1 before going further.

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