NDLI: State-Space Reconstruction and Spatio-Temporal Prediction of Lattice Dynamical Systems

Content Provider	IEEE Xplore Digital Library
Author	Lingzhong Guo Billings, S.A.
Copyright Year	1963
Abstract	This paper addresses the problems of state space reconstruction and spatio-temporal prediction for lattice dynamical systems. It is shown that the state space of any finite lattice dynamical system can be embedded into a reconstruction space for almost every, in the sense of prevalence, smooth measurement mapping as long as the dimension of the reconstruction space is larger than twice the size of the lattice. Based on this result, an input-output spatio-temporal dynamical relation for each site within the lattice is derived and used for spatio-temporal prediction of the system. In the case of infinite lattice dynamical systems, an approach based on constructing local lattice dynamical systems is proposed. It is shown that the finite dimensional results can be directly applied to the local modelling and spatio-temporal prediction for infinite lattice dynamical systems. Two numerical examples are provided to demonstrate the proposed theory and approach
Sponsorship	IEEE Control Systems Society
Starting Page	622
Ending Page	632
Page Count	11
File Size	1404249
File Format	PDF
ISSN	00189286
Volume Number	52
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-04-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Lattices Image reconstruction State-space methods Biological system modeling Laplace equations Extraterrestrial measurements Size measurement Predictive models Least squares methods Prediction algorithms state–space reconstruction Lattice dynamical system orthogonal least squares algorithm spatio-temporal prediction
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

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