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Identification of Partial Differential Equation Models for Continuous Spatio-Temporal Dynamical Systems

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2 Author(s)
Lingzhong Guo ; Dept. of Autom. Control & Syst. Eng., Univ. of Sheffield ; Billings, S.A.

The identification of a class of continuous spatio-temporal dynamical systems from observations is presented in this paper. The proposed approach is a combination of implicit Adams integration and an orthogonal least-squares algorithm, in which the operators are expanded using polynomials as basis functions, and the spatial derivatives are estimated by finite difference methods. The resulting identified models of the spatio-temporal evolution form a system of partial differential equations. Examples are provided to demonstrate the efficiency of the proposed method

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Circuits and Systems II: Express Briefs, IEEE Transactions on  (Volume:53 ,  Issue: 8 )