Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/19650
Title: Identification of non-linear stochastic spatiotemporal dynamical systems
Authors: Ning, H
Jing, X 
Cheng, L 
Issue Date: 2013
Source: IET Control theory and applications, 2013, v. 7, no. 17, p. 2069-2083 How to cite?
Journal: IET Control Theory and Applications 
Abstract: A systematic identification method for non-linear stochastic spatiotemproal (SST) systems described by non-linear stochastic partial differential equations (SPDEs) is investigated in this study based on pointwise observation data. A theoretical framework for a semi-finite element model approximating to an infinite-dimensional system is established, and several fundamental issues are discussed including the approximation error between the underlying infinite-dimensional dynamics and the model to be identified, and its rationality etc. Based on the proposed theoretical framework, a general identification method with irregular observation data is provided. These results not only provide an effective method for the identification of non-linear SST systems using measurement data (both offline and online), but also demonstrate a potential solution for the analysis, design and control of non-linear SST systems from a numerical point of view.
URI: http://hdl.handle.net/10397/19650
ISSN: 1751-8644
DOI: 10.1049/iet-cta.2013.0150
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