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

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anthropologist

Algebraically Approximate and Noisy Realization of Linear Systemsebraic sense [Kalman, 1969]. The main theorem says that for any causal linear input/output map, there exist at least two canonical (controllable and observable) Linear Systems which realize (faithfully describe) it and any two canonical Linear Systems with the same behavior are isomorphic..Details o

Truculent

Algebraically Approximate and Noisy Realization of So-called Linear Systemssegawa, 2003], and it was also shown that the systems contain so-called linear systems as a sub-class, where so-called linear systems are linear systems with a non-zero initial state..It is well known that a common method to obtain so-called linear systems is solved through two problems..One is the

URN

Algebraically Approximate and Noisy Realization of Almost Linear Systemsnear systems that are in a subclass of pseudo linear systems, which are very close to linear systems..At first, their realization theory was stated. Namely, it was shown that any almost linear systems can be characterized by time-invariant, affine input response maps and any time-invariant, affine i

浓缩

Algebraically Approximate and Noisy Realization of Pseudo Linear Systemsere presented with a main theorem, which says that for any time-invariant input response map, there exist at least two canonical (quasi-reachable and distinguishable) pseudo linear systems which realize, that is, faithfully describe it, and any two canonical pseudo linear systems with the same behav

不足的东西

Algebraically Approximate and Noisy Realization of Affine Dynamical Systemse map, equivalently, as an input/output map with causality. Affine dynamical systems were proposed and the realization problems of the systems were solved in the reference [Matsuo & Hasegawa, 2003]. We characterized the finite-dimensionality of affine dynamical systems. We obtained the same results

Ambiguous

inconceivable

Algebraically Approximate and Noisy Realization of Two-Dimensional Imagesng main theorem [Hasegawa and Suzuki, 2006]:.For any two-dimensional image, there exist at least two canonical, that is, quasi-reachable and distinguishable commutative linear representation systems which realize, that is, which faithfully describe it, and any two canonical commutative linear repres

设施

https://doi.org/10.1057/9781137414472To obtain concrete results, we will consider a case of dynamical systems with an input/output mechanism surrounded by free noise or noise.

Bravado

Input/Output Map and Additive NoisesTo obtain concrete results, we will consider a case of dynamical systems with an input/output mechanism surrounded by free noise or noise.