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On difference equations and discrete systems. (English) Zbl 0519.93050
MSC:
93C55 Discrete-time control/observation systems
39A10 Additive difference equations
93C10 Nonlinear systems in control theory
41A58 Series expansions (e.g., Taylor, Lidstone series, but not Fourier series)
44A55 Discrete operational calculus
40A05 Convergence and divergence of series and sequences
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References:
[1] B. Pondělíček: On compositional and convolutional discrete systems. Kybernetika 17 (1981), 4, 277-286.
[2] R. H. Flake: Volterra series representation of nonlinear systems. Trans. AIEE (1963 - 64), 330-335.
[3] J. Waddington, F. Fallside: Analysis of non-linear differential equations by Volterra series. Internat. J. Control 3 (1966), 1, 1-15.
[4] G. S. Christensen: On the Convergence of Volterra series. IEEE Trans. Automat. Control AC-13 (1968), 1, 736.
[5] W. G. Trott, G. S. Christensen: On the uniqueness of the Volterra-series. IEEE Trans. Automat. Control AC-14 (1969), 1, 759.
[6] R. S. Rao, G. S. Christensen: On the convergence of a discrete Volterra-series. IEEE Trans. Automat. Control AC-15 (1970), 1, 140-141.
[7] F. C. Fu, j. B. Farison: On the Volterra-series functional evaluation of the response of non-linear discrete-time systems. Internat. J. Control 18 (1973), 6, 1281 - 1289. · Zbl 0262.93023 · doi:10.1080/00207177308932534
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