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Nonlinear systems: Identification and optimal control. (English) Zbl 0658.93026

The identification and optimal control of a nonlinear analytic system of the form \[ \dot x(t)=F(x(z))+\sum^{m}_{i-1}G_ i(x(t))u_ i(t) \] are considered by expanding the functions F and \(G_ i\) in terms of the Taylor polynomials \(x^ i\). This leads to power series expansions for the control functions which are truncated to obtain suboptimal controls. No convergence criteria are given for the results, although the advantages of tensor representations are clearly seen.
Reviewer: S.Banks

MSC:

93B30 System identification
93C10 Nonlinear systems in control theory
41A58 Series expansions (e.g., Taylor, Lidstone series, but not Fourier series)
34A55 Inverse problems involving ordinary differential equations
93C15 Control/observation systems governed by ordinary differential equations
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