Spatio-temporal modeling of nonlinear distributed parameter systems. A time/space separation based approach.
type: Item
instance of: scholarly article
title: Spatio-temporal modeling of nonlinear distributed parameter systems. A time/space separation based approach.
zbMATH Open document ID: 1223.93001
DOI: 10.1007/978-94-007-0741-2
author: Han-Xiong Li
author: Chenkun Qi
published in: Intelligent Systems, Control and Automation: Science and Engineering
publication date: 2011-02-17T00:00:00Z
review text: The book surveys a number of modeling techniques. Spatiotemporal models with space-time separation are the main focus of the book. A typical model in the book is mathematically described by a quasi-linear diffusion-advection equation. Such models have numerous industrial applications: chemical reactors, ovens, etc. In many situations, not all crucial parameters of the system are available for direct measurement. A distributed system is usually controlled by a finite number of actuators. The models are classified as white box, grey box, and black box, depending on the availability of information. System identification and model reduction are the main subjects of the book. After a general introduction in Chapter~1, Chapter~2 overviews a classification of distributed-parameter systems and methods of identification. Chapter~3 considers Wiener modeling approach. Hammerstein approach is considered in Chapter~4 and generalized to multi-channel modeling in Chapter~5. Volterra approach with Green-function kernel is the subject of Chapter~6. Chapter~7 presents nonlinear principal-component analysis. Chapter~8 summarizes the contents of the book and formulates the conclusions. In the authors' words, ``there are some challenges which have not been well studied in system identification of the distributed-parameter systems''.
reviewed by: D. B. Silin
Mathematics Subject Classification ID: 93-02
Mathematics Subject Classification ID: 93C95
Mathematics Subject Classification ID: 00A71
zbMATH DE Number: 5852764
zbMATH Keywords: distributed parameter system
zbMATH Keywords: spacio-temporal modeling
zbMATH Keywords: system identification
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-94-007-0741-2
OpenAlex ID: W4253091510
description: scientific article; zbMATH DE number 5852764