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Approximate and Noisy Realization of Discrete-Time Dynamical Systems by Yasumich
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Specificaties
- Objectstaat
- ISBN-13
- 9783540794332
- Book Title
- Approximate and Noisy Realization of Discrete-Time Dynamical Syst
- ISBN
- 9783540794332
- Subject Area
- Technology & Engineering, Science
- Publication Name
- Approximate and Noisy Realization of Discrete-Time Dynamical Systems
- Publisher
- Springer Berlin / Heidelberg
- Item Length
- 9.2 in
- Subject
- Signals & Signal Processing, Mechanics / Dynamics, System Theory, Electrical, Physics / Mathematical & Computational, Acoustics & Sound
- Publication Year
- 2008
- Series
- Lecture Notes in Control and Information Sciences Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Weight
- 28.9 Oz
- Item Width
- 6.1 in
- Number of Pages
- VIII, 248 Pages
Over dit product
Product Information
This monograph deals with approximation and noise cancellation of dynamical systems which include linear and nonlinear input/output relations. It will be of special interest to researchers, engineers and graduate students who have specialized in ?ltering theory and system theory. From noisy or noiseless data, reductionwillbemade.Anewmethodwhichreducesnoiseormodelsinformation will be proposed. Using this method will allow model description to be treated as noise reduction or model reduction. As proof of the e'cacy, this monograph provides new results and their extensions which can also be applied to nonlinear dynamical systems. To present the e'ectiveness of our method, many actual examples of noise and model information reduction will also be provided. Using the analysis of state space approach, the model reduction problem may have become a major theme of technology after 1966 for emphasizing e'ciency in the ?elds of control, economy, numerical analysis, and others. Noise reduction problems in the analysis of noisy dynamical systems may havebecomeamajorthemeoftechnologyafter1974foremphasizinge'ciencyin control.However,thesubjectsoftheseresearcheshavebeenmainlyconcentrated in linear systems. In common model reduction of linear systems in use today, a singular value decompositionofaHankelmatrixisusedto'ndareducedordermodel.However, the existence of the conditions of the reduced order model are derived without evaluationoftheresultantmodel.Inthecommontypicalnoisereductionoflinear systems in use today, the order and parameters of the systems are determined by minimizing information criterion. Approximate and noisy realization problems for input/output relations can be roughly stated as follows: A. The approximate realization problem. For any input/output map, ?nd one mathematical model such that it is similar totheinput/outputmapandhasalowerdimensionthanthegivenminimalstate spaceofadynamicalsystemwhichhasthesamebehaviortotheinput/outputmap. B. The noisy realization problem.
Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
3540794336
ISBN-13
9783540794332
eBay Product ID (ePID)
66614080
Product Key Features
Number of Pages
VIII, 248 Pages
Language
English
Publication Name
Approximate and Noisy Realization of Discrete-Time Dynamical Systems
Publication Year
2008
Subject
Signals & Signal Processing, Mechanics / Dynamics, System Theory, Electrical, Physics / Mathematical & Computational, Acoustics & Sound
Type
Textbook
Subject Area
Technology & Engineering, Science
Series
Lecture Notes in Control and Information Sciences Ser.
Format
Trade Paperback
Dimensions
Item Weight
28.9 Oz
Item Length
9.2 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
Dewey Edition
22
Reviews
From the reviews: "In this monograph new interesting results concerning the following two problems are presented. Approximate realization problem: For any given input/output map without noise … . Noisy realization problem: For any given input/output map with noise … . A new method called the constrained least square method is proposed to solve the problems. … This monograph can be recommended first of all to scientists and Phd students with good mathematical backgrounds." (Tadeusz Kaczorek, Zentralblatt MATH, Vol. 1147, 2008), From the reviews: "In this monograph new interesting results concerning the following two problems are presented. Approximate realization problem: For any given input/output map without noise ... . Noisy realization problem: For any given input/output map with noise ... . A new method called the constrained least square method is proposed to solve the problems. ... This monograph can be recommended first of all to scientists and Phd students with good mathematical backgrounds." (Tadeusz Kaczorek, Zentralblatt MATH, Vol. 1147, 2008), From the reviews:"In this monograph new interesting results concerning the following two problems are presented. Approximate realization problem: For any given input/output map without noise … . Noisy realization problem: For any given input/output map with noise … . A new method called the constrained least square method is proposed to solve the problems. … This monograph can be recommended first of all to scientists and Phd students with good mathematical backgrounds." (Tadeusz Kaczorek, Zentralblatt MATH, Vol. 1147, 2008)
Series Volume Number
376
Number of Volumes
1 Vol.
Illustrated
Yes
Dewey Decimal
003.83
Lc Classification Number
Tj212-225
Table of Content
Input/Output Map and Additive Noises.- Approximate and Noisy Realization of Linear Systems.- Approximate and Noisy Realization of So-called Linear Systems.- Approximate and Noisy Realization of Almost Linear Systems.- Approximate and Noisy Realization of Pseudo Linear Systems.- Approximate and Noisy Realization of Affine Dynamical Systems.- Approximate and Noisy Realization of Linear Representation Systems.
Copyright Date
2008
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