9 edition of **Approximation of large-scale dynamical systems** found in the catalog.

- 179 Want to read
- 4 Currently reading

Published
**2005**
by Society for Industrial and Applied Mathematics in Philadelphia
.

Written in English

- Differentiable dynamical systems.,
- Differential equations, Partial.,
- System analysis.,
- Approximation theory.,
- Linear systems.

**Edition Notes**

Includes bibliographical references and index.

Statement | Athanasios C. Antoulas. |

Series | Advances in design and control |

Classifications | |
---|---|

LC Classifications | QA614.9 .A58 2005 |

The Physical Object | |

Pagination | p. cm. |

ID Numbers | |

Open Library | OL3424057M |

ISBN 10 | 0898715296 |

LC Control Number | 2005046507 |

Approximation of Large-Scale Dynamical Systems: An Overview Article in International Journal of Applied Mathematics and Computer Science 11(5) . Buy Approximation of Large-Scale Dynamical Systems (Advances in Design and Control) Reprint by Athanasios C. Antoulas (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible : Athanasios C. Antoulas.

In this paper we review the state of affairs in the area of approximation of large-scale systems. We distinguish three basic categories, namely the SVD-based, the Krylov-based and the SVD-Krylov-based approximation methods. The first two were. Google Scholar. [2]. A.C. AntoulasNew results on. Buy Approximation of Large-Scale Dynamical Systems (Advances in Design and Control) on FREE Athanasios C. Antoulas (Author). out of. Buy Approximation of Large-Scale Dynamical Systems (Advances in Design and Dr. Athanasios C. Antoulas is one of the world’s leading authorities on model.

A large scale dynamical system can have a large number of modes. Like a general square matrix can be approximated by its largest eigenvalues, i.e. by projecting it onto the space spanned by the eigenvalues corresponding to the largest eigenvalues, a dynamical system can be approximated by its dominant modes: a reduced order model, called the modal equivalent, can Cited by: 3. As a corollary, we also show that any continuous curve can be approximated by the output of a recurrent neural network. Keyworfls--Approximation, Continuous time recurrent neural network, Dynamical system, Autonomous system, Trajectory, Cited by:

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Approximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations. It addresses the issue of model reduction and the resulting trade-offs between accuracy and complexity.

Computational Methods for Approximation of Large-Scale Dynamical Systems discusses computational techniques for the MOR of large-scale sparse LTI CT systems. Although the book puts emphasis on the MOR of descriptor systems, it begins by showing and comparing the various MOR techniques for standard by: 2.

Approximation of Large-Scale Dynamical Systems (Advances in Design and Control) (Advances in Design and Control) July Computational Methods for Approximation of Large-Scale Dynamical Systems book.

Computational Methods for Approximation of Large-Scale Dynamical Systems book. By Mohammad Monir Uddin. Edition 1st Edition. First Published eBook Published 30 April Pub. location New : Mohammad Monir Uddin.

Approximation by moment matching. A linear discrete- or continuous-time system defined by a convolution sum or integral is uniquely determined by its impulse response h. Equivalently, the Laplace transform of the impulse response H, called the transfer function of the system, can be used.

For the systems considered here, H is a. Approximation of Large-Scale Dynamical Systems > /ch2 Book Code: DC Series: Advances in Design and Control. Pages: Buy the Print Edition. In this section we describe various applications in which large-scale dynamical systems arise.

There are two categories of examples: those in which simulation and/or. Approximation of Large-Scale Dynamical Systems. Approximation. of Large-Scale. Dynamical Systems. DC06 9/28/ AM Page 1. Advances in Design and Control. Approximation of Large-Scale Dynamical Systems > /ch1 The basic motivation for system approximation is the need for simplified models of dynamical systems, which capture the main features of the original complex model.

are not addressed in this book.) In the latter case, control, we seek to modify the system. Approximationoflarge-scaledynamicalsystems:Anoverview tingExamples Modelsofdynamicalsystemsareusefulprimarilyfortworeasons:simulationand control.

However, obtaining the probabilistic solution of large-scale nonlinear stochastic dynamical systems or the FPK equations in high dimensions had been a. Book Description. Approximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations.

It addresses the issue of model reduction and the resulting trade-offs between accuracy and by: Approximation of Large-Scale Dynamical Systems (Advances in Design and Control) | Athanasios C. Antoulas | download | B–OK. Download books for free. Find books.

Approximation of large-scale dynamical systems: An overview A.C. Antoulas and D.C. Sorensen Aug Abstract In this paper we review the state of affairs in the area of approximation of large-scale systems. We distinguish among three basic categories, namely the SVD-based, the Krylov-based and the SVD-Krylov-based approxi-mation methods.

Approximation of Large-Scale Dynamical Systems This book deals with what may be called the curse of complexity, by addressing the approximation of dynamical systems described by a. Approximation of Large-Scale Dynamical Systems Athanasios C. Antoulas Rice University Contents List of Figures xiii Foreword xvii Preface xix How to Use This Book xxiii I Introduction 1 1 Introduction 3 Problem set-up 5 Approximation by projection 8 Summary of contents 10 4 Linear Dynamical Systems: Part 1 59 External.

In this talk we will survey methods for the approximation of large-scale dynamical systems. There are two basic families, namely the SVD-based and Krylov-based approximation methods.

The former family is based on the singular value decomposition and the Cited by: 6. This two volume set LNCS and LNCS constitutes the refereed proceedings of the 20th International Conference on Database Systems for Advanced Applications, DASFAAheld in Hanoi, Vietnam, in April The 63 full papers presented were carefully reviewed and selected from a total of.

Methods for the approximation of large-scale dynamical systems will be surveyed. There are mainly two families namely, the SVD-based and Krylov-based approximation methods. The former family is based on the singular value decomposition and the second on moment by: Get this from a library.

Approximation of large-scale dynamical systems. [Athanasios C Antoulas]. A must-have book for any one working on model order reduction or dealing with large scale dynamical system. By reading this book I clearly understood the concept of reachability and observability and how it is applied to better understand a dynamical system.

Overall a book with excellent source of knowledge, both as text and reference book.5/5(1). "Approximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations.

It addresses the issue of model reduction and the resulting trade-offs between accuracy and complexity.This book is a great reference book, and if you are patient, it is also a very good self-study book in the field of stochastic approximation. The book is written in Vivek-Borkar's style, i.e.

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