Reduction of Nonlinear Control Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9401146179
Total Pages : 259 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Reduction of Nonlinear Control Systems by : V.I. Elkin

Download or read book Reduction of Nonlinear Control Systems written by V.I. Elkin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in science and technology necessitate the use of increasingly-complicated dynamic control processes. Undoubtedly, sophisticated mathematical models are also concurrently elaborated for these processes. In particular, linear dynamic control systems iJ = Ay + Bu, y E M C ]Rn, U E ]RT, (1) where A and B are constants, are often abandoned in favor of nonlinear dynamic control systems (2) which, in addition, contain a large number of equations. The solution of problems for multidimensional nonlinear control systems en counters serious difficulties, which are both mathematical and technical in nature. Therefore it is imperative to develop methods of reduction of nonlinear systems to a simpler form, for example, decomposition into systems of lesser dimension. Approaches to reduction are diverse, in particular, techniques based on approxi mation methods. In this monograph, we elaborate the most natural and obvious (in our opinion) approach, which is essentially inherent in any theory of math ematical entities, for instance, in the theory of linear spaces, theory of groups, etc. Reduction in our interpretation is based on assigning to the initial object an isomorphic object, a quotient object, and a subobject. In the theory of linear spaces, for instance, reduction consists in reducing to an isomorphic linear space, quotient space, and subspace. Strictly speaking, the exposition of any mathemat ical theory essentially begins with the introduction of these reduced objects and determination of their basic properties in relation to the initial object.

Dimension Reduction of Large-Scale Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540279091
Total Pages : 397 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Dimension Reduction of Large-Scale Systems by : Peter Benner

Download or read book Dimension Reduction of Large-Scale Systems written by Peter Benner and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past decades, model reduction has become an ubiquitous tool in analysis and simulation of dynamical systems, control design, circuit simulation, structural dynamics, CFD, and many other disciplines dealing with complex physical models. The aim of this book is to survey some of the most successful model reduction methods in tutorial style articles and to present benchmark problems from several application areas for testing and comparing existing and new algorithms. As the discussed methods have often been developed in parallel in disconnected application areas, the intention of the mini-workshop in Oberwolfach and its proceedings is to make these ideas available to researchers and practitioners from all these different disciplines.

Model Reduction for Control System Design

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Publisher : Springer Science & Business Media
ISBN 13 : 1447102835
Total Pages : 177 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Model Reduction for Control System Design by : Goro Obinata

Download or read book Model Reduction for Control System Design written by Goro Obinata and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive treatment of approximation methods for filters and controllers. It is fully up to date, and it is authored by two leading researchers who have personally contributed to the development of some of the methods. Balanced truncation, Hankel norm reduction, multiplicative reduction, weighted methods and coprime factorization methods are all discussed. The book is amply illustrated with examples, and will equip practising control engineers and graduates for intelligent use of commercial software modules for model and controller reduction.

Power System Coherency and Model Reduction

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Publisher : Springer Science & Business Media
ISBN 13 : 1461418038
Total Pages : 308 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Power System Coherency and Model Reduction by : Joe H. Chow

Download or read book Power System Coherency and Model Reduction written by Joe H. Chow and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Power System Coherency and Model Reduction" provides a comprehensive treatment for understanding interarea modes in large power systems and obtaining reduced-order models using the coherency concept and selective modal analysis method. Both linear and nonlinear analysis methods are covered. This is a reference book for researchers interested in interarea oscillations and model reduction, and power engineers in developing reduced models for power system studies and control design.

Term Rewriting and All That

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Publisher : Cambridge University Press
ISBN 13 : 9780521779203
Total Pages : 318 pages
Book Rating : 4.7/5 (792 download)

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Book Synopsis Term Rewriting and All That by : Franz Baader

Download or read book Term Rewriting and All That written by Franz Baader and published by Cambridge University Press. This book was released on 1998 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unified and self-contained introduction to term-rewriting; suited for students or professionals.

Systems of Reductions

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Publisher :
ISBN 13 : 9783662200704
Total Pages : 284 pages
Book Rating : 4.2/5 (7 download)

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Book Synopsis Systems of Reductions by : Benjamin Benninghofen

Download or read book Systems of Reductions written by Benjamin Benninghofen and published by . This book was released on 2014-01-15 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Model Reduction of Parametrized Systems

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Publisher : Springer
ISBN 13 : 3319587862
Total Pages : 503 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Model Reduction of Parametrized Systems by : Peter Benner

Download or read book Model Reduction of Parametrized Systems written by Peter Benner and published by Springer. This book was released on 2017-09-05 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The special volume offers a global guide to new concepts and approaches concerning the following topics: reduced basis methods, proper orthogonal decomposition, proper generalized decomposition, approximation theory related to model reduction, learning theory and compressed sensing, stochastic and high-dimensional problems, system-theoretic methods, nonlinear model reduction, reduction of coupled problems/multiphysics, optimization and optimal control, state estimation and control, reduced order models and domain decomposition methods, Krylov-subspace and interpolatory methods, and applications to real industrial and complex problems. The book represents the state of the art in the development of reduced order methods. It contains contributions from internationally respected experts, guaranteeing a wide range of expertise and topics. Further, it reflects an important effor t, carried out over the last 12 years, to build a growing research community in this field. Though not a textbook, some of the chapters can be used as reference materials or lecture notes for classes and tutorials (doctoral schools, master classes).

Systems of Reductions

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540185987
Total Pages : 280 pages
Book Rating : 4.1/5 (859 download)

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Book Synopsis Systems of Reductions by : Benjamin Benninghofen

Download or read book Systems of Reductions written by Benjamin Benninghofen and published by Springer Science & Business Media. This book was released on 1987-11-25 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Model Order Reduction: Theory, Research Aspects and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3540788417
Total Pages : 471 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Model Order Reduction: Theory, Research Aspects and Applications by : Wilhelmus H. Schilders

Download or read book Model Order Reduction: Theory, Research Aspects and Applications written by Wilhelmus H. Schilders and published by Springer Science & Business Media. This book was released on 2008-08-27 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea for this book originated during the workshop “Model order reduction, coupled problems and optimization” held at the Lorentz Center in Leiden from S- tember 19–23, 2005. During one of the discussion sessions, it became clear that a book describing the state of the art in model order reduction, starting from the very basics and containing an overview of all relevant techniques, would be of great use for students, young researchers starting in the ?eld, and experienced researchers. The observation that most of the theory on model order reduction is scattered over many good papers, making it dif?cult to ?nd a good starting point, was supported by most of the participants. Moreover, most of the speakers at the workshop were willing to contribute to the book that is now in front of you. The goal of this book, as de?ned during the discussion sessions at the workshop, is three-fold: ?rst, it should describe the basics of model order reduction. Second, both general and more specialized model order reduction techniques for linear and nonlinear systems should be covered, including the use of several related numerical techniques. Third, the use of model order reduction techniques in practical appli- tions and current research aspects should be discussed. We have organized the book according to these goals. In Part I, the rationale behind model order reduction is explained, and an overview of the most common methods is described.

Interpolatory Methods for Model Reduction

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Publisher : SIAM
ISBN 13 : 1611976081
Total Pages : 244 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Interpolatory Methods for Model Reduction by : A. C. Antoulas

Download or read book Interpolatory Methods for Model Reduction written by A. C. Antoulas and published by SIAM. This book was released on 2020-01-13 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical systems are a principal tool in the modeling, prediction, and control of a wide range of complex phenomena. As the need for improved accuracy leads to larger and more complex dynamical systems, direct simulation often becomes the only available strategy for accurate prediction or control, inevitably creating a considerable burden on computational resources. This is the main context where one considers model reduction, seeking to replace large systems of coupled differential and algebraic equations that constitute high fidelity system models with substantially fewer equations that are crafted to control the loss of fidelity that order reduction may induce in the system response. Interpolatory methods are among the most widely used model reduction techniques, and Interpolatory Methods for Model Reduction is the first comprehensive analysis of this approach available in a single, extensive resource. It introduces state-of-the-art methods reflecting significant developments over the past two decades, covering both classical projection frameworks for model reduction and data-driven, nonintrusive frameworks. This textbook is appropriate for a wide audience of engineers and other scientists working in the general areas of large-scale dynamical systems and data-driven modeling of dynamics.

Complete Systems of Reductions Using Associative An/or Commutative Unification

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Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (723 download)

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Book Synopsis Complete Systems of Reductions Using Associative An/or Commutative Unification by : SRI International. Artificial Intelligence Center

Download or read book Complete Systems of Reductions Using Associative An/or Commutative Unification written by SRI International. Artificial Intelligence Center and published by . This book was released on 1982 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Reduced Basis Methods for Partial Differential Equations

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Publisher : Springer
ISBN 13 : 3319154311
Total Pages : 305 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Reduced Basis Methods for Partial Differential Equations by : Alfio Quarteroni

Download or read book Reduced Basis Methods for Partial Differential Equations written by Alfio Quarteroni and published by Springer. This book was released on 2015-08-19 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs) arising from engineering and applied sciences, such as PDEs depending on several parameters and PDE-constrained optimization. The book presents a general mathematical formulation of RB methods, analyzes their fundamental theoretical properties, discusses the related algorithmic and implementation aspects, and highlights their built-in algebraic and geometric structures. More specifically, the authors discuss alternative strategies for constructing accurate RB spaces using greedy algorithms and proper orthogonal decomposition techniques, investigate their approximation properties and analyze offline-online decomposition strategies aimed at the reduction of computational complexity. Furthermore, they carry out both a priori and a posteriori error analysis. The whole mathematical presentation is made more stimulating by the use of representative examples of applicative interest in the context of both linear and nonlinear PDEs. Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text. The book will be ideal for upper undergraduate students and, more generally, people interested in scientific computing. All these pseudocodes are in fact implemented in a MATLAB package that is freely available at https://github.com/redbkit

Model Order Reduction Techniques with Applications in Electrical Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 1447131983
Total Pages : 242 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Model Order Reduction Techniques with Applications in Electrical Engineering by : L. Fortuna

Download or read book Model Order Reduction Techniques with Applications in Electrical Engineering written by L. Fortuna and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model Order Reduction Techniqes focuses on model reduction problems with particular applications in electrical engineering. Starting with a clear outline of the technique and their wide methodological background, central topics are introduced including mathematical tools, physical processes, numerical computing experience, software developments and knowledge of system theory. Several model reduction algorithms are then discussed. The aim of this work is to give the reader an overview of reduced-order model design and an operative guide. Particular attention is given to providing basic concepts for building expert systems for model reducution.

Review of Biotreatment, Water Recovery, and Brine Reduction Systems for the Pueblo Chemical Agent Destruction Pilot Plant

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Publisher : National Academies Press
ISBN 13 : 030926393X
Total Pages : 61 pages
Book Rating : 4.3/5 (92 download)

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Book Synopsis Review of Biotreatment, Water Recovery, and Brine Reduction Systems for the Pueblo Chemical Agent Destruction Pilot Plant by : National Research Council

Download or read book Review of Biotreatment, Water Recovery, and Brine Reduction Systems for the Pueblo Chemical Agent Destruction Pilot Plant written by National Research Council and published by National Academies Press. This book was released on 2013-07-17 with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Pueblo Chemical Depot (PCD) in Colorado is one of two sites that features U.S. stockpile of chemical weapons that need to be destroyed. The PCD features about 2,600 tons of mustard-including agent. The PCD also features a pilot plant, the Pueblo Chemical Agent Destruction Pilot Plant (PCAPP), which has been set up to destroy the agent and munition bodies using novel processes. The chemical neutralization or hydrolysis of the mustard agent produces a Schedule 2 compound called thiodiglycol (TDG) that must be destroyed. The PCAPP uses a combined water recovery system (WRS) and brine reduction system (BRS) to destroy TDG and make the water used in the chemical neutralization well water again. Since the PCAPP is using a novel process, the program executive officer for the Assembled Chemical Weapons Alternatives (ACWA) program asked the National Research Council (NRC) to initiate a study to review the PCAPP WRS-BRS that was already installed at PCAPP. 5 months into the study in October, 2012, the NRC was asked to also review the Biotreatment area (BTA). The Committee on Review of Biotreatment, Water Recovery, and Brine Reduction Systems for the Pueblo Chemical Agent Destruction Pilot Plant was thus tasked with evaluating the operability, life-expectancy, working quality, results of Biotreatment studies carried out prior to 1999 and 1999-2004, and the current design, systemization approached, and planned operation conditions for the Biotreatment process. Review of Biotreatment, Water Recovery, and Brine Reduction Systems for the Pueblo Chemical Agent Destruction Pilot Plant is the result of the committee's investigation. The report includes diagrams of the Biotreatment area, the BRS, and WRS; a table of materials of construction, the various recommendations made by the committee; and more.

Abiotic Reduction Reactions of Anthropogenic Organic Chemicals in Anaerobic Systems

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Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Abiotic Reduction Reactions of Anthropogenic Organic Chemicals in Anaerobic Systems by : Donald L. Macalady

Download or read book Abiotic Reduction Reactions of Anthropogenic Organic Chemicals in Anaerobic Systems written by Donald L. Macalady and published by . This book was released on 1985 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018

Download IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018 PDF Online Free

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Publisher : Springer
ISBN 13 : 3030210138
Total Pages : 222 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018 by : Jörg Fehr

Download or read book IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018 written by Jörg Fehr and published by Springer. This book was released on 2019-07-19 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the IUTAM Symposium on Model Order Reduction of Coupled System, held in Stuttgart, Germany, May 22–25, 2018. For the understanding and development of complex technical systems, such as the human body or mechatronic systems, an integrated, multiphysics and multidisciplinary view is essential. Many problems can be solved within one physical domain. For the simulation and optimization of the combined system, the different domains are connected with each other. Very often, the combination is only possible by using reduced order models such that the large-scale dynamical system is approximated with a system of much smaller dimension where the most dominant features of the large-scale system are retained as much as possible. The field of model order reduction (MOR) is interdisciplinary. Researchers from Engineering, Mathematics and Computer Science identify, explore and compare the potentials, challenges and limitations of recent and new advances.

Preliminary Health Risk Reduction and Cost Analysis

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Publisher :
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.3/5 (121 download)

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Book Synopsis Preliminary Health Risk Reduction and Cost Analysis by :

Download or read book Preliminary Health Risk Reduction and Cost Analysis written by and published by . This book was released on 2000 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: