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Application of inverse system for linearization and decoupling. (English) Zbl 0634.93039
Summary: We show that for a special class of nonlinear systems the linearization and/or decoupling of nonlinear dynamics by immersion under feedback is in fact an application of the right inverse system.

MSC:
93C10 Nonlinear systems in control theory
93B15 Realizations from input-output data
93C15 Control/observation systems governed by ordinary differential equations
93B27 Geometric methods
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[1] Claude, D.; Fliess, M.; Isidori, A., Immersion, directe et par bouclage, d’un système nonlineaire dans un lineaire, CR. acad. sci. Paris ser. I, 296, 237-240, (1983) · Zbl 0529.93030
[2] Isidori, A.; Ruberti, A., On the synthesis of linear input-output responses for nonlinear systems, Systems control lett., 4, 17-22, (1984) · Zbl 0551.93032
[3] Isidori, A., The matching of a prescribed linear input-output behavior in a nonlinear system, IEEE trans. automat. control, 30, 258-265, (1985) · Zbl 0564.93032
[4] Claude, D., Decoupling of nonlinear systems, Systems control lett., 1, 242-248, (1982) · Zbl 0473.93043
[5] Isidori, A.; Krener, A.J.; Gori-Giorgi, C.; Monaco, S., Nonlinear decoupling via feedback: a differential geometric approach, IEEE trans. automat. control, 26, 331-345, (1981) · Zbl 0481.93037
[6] Fliess, M., Finite-dimensional observation-spaces for non-linear systems, (), 73-77
[7] Fliess, M.; Kupka, I., A finiteness criterion for nonlinear input-output differential systems, SIAMJ. control optim., 21, 721-728, (1983) · Zbl 0529.93031
[8] Hirschorn, R.M., Output tracking in multivariable nonlinear systems, IEEE trans. automat. control, 26, 593-595, (1981) · Zbl 0477.93010
[9] Silverman, L.M., Inversion of multivariable linear systems, IEEE trans. automat. control, 14, 270-276, (1969)
[10] Hirschorn, R.M., Invertibility of multivariable nonlinear control systems, IEEE trans. automat. control, 24, 855-866, (1979) · Zbl 0427.93020
[11] Graybill, F.A., Introduction to matrices with applications in statistics, (1969), Wadsworth Belmont, CA · Zbl 0188.51601
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