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Taylor series approach to system identification, analysis and optimal control. (English) Zbl 0561.93018

The problems of system identification, analysis and optimal control have been recently studied using orthogonal functions. The specific orthogonal functions used up to now are the Walsh, the block-pulse, the Laguerre, the Legendre, the Chebyshev, the Hermite and the Fourier functions. In the present paper solutions to these problems are derived using the Taylor series expansion. The algorithms proposed here are similar to those already developed for the orthogonal functions; however, due to the simplicity of the operational matrix of integration, the Taylor series presents considerable computational advantages compared with the other polynomial series, provided that the input and the output signals may be assumed to be analytic functions of t.

MSC:

93B30 System identification
41A58 Series expansions (e.g., Taylor, Lidstone series, but not Fourier series)
44A45 Classical operational calculus
93C05 Linear systems in control theory
93B40 Computational methods in systems theory (MSC2010)
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