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Titlebook: Algebraically Approximate and Noisy Realization of Discrete-Time Systems and Digital Images; Yasumichi Hasegawa Book 2009 Springer-Verlag

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Algebraically Approximate and Noisy Realization of Affine Dynamical Systemsquasi-reachable standard system in the isomorphic class of finite-dimensional canonical affine dynamical systems. We obtained a criterion for the behavior of finite-dimensional affine dynamical systems. We also gave a procedure on how to obtain the quasi-reachable standard system from an input response map.
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Tina Freyburg,Sandra Lavenex,Anne Wetzelast two canonical, namely quasi-reachable and distinguishable linear representation systems which realize, equivalently, faithfully describe it, and any two canonical linear representation systems with the same behavior are isomorphic.
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Algebraically Approximate and Noisy Realization of Two-Dimensional Imagesentation systems with the same behavior are isomorphic..By using an application of non-linear realization theory [Matsuo and Hasegawa, 2003], we can obtain a realization theory of two-dimensional images.
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Book 2009also deal with approximation and noise cancellation of two dimensional arrays. It will be of special interest to researchers, engineers and graduate students who have specialized in ?ltering theory and system theory and d- ital images. This monograph is composed of two parts. Part I and Part II will
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Democracy Promotion and Foreign Policyoisy realization problem were discussed through solving partial differential equations of rational polynomial in multi-variables [Hasegawa, 2008]..In this chapter, approximate realization problem and noisy realization problems will be discussed by executing only algebraic operations and comparing wi
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