On the Zero Dynamics Equations of Some Nonlinear Systems Affine in Control

We consider the problem of determining the equations of zero dynamics of a nonlinear system that is affine with respect to the control. All known methods for solving this problem have a restricted scope. We obtain a new algorithm for solving this problem which permits determining equations of zero d...

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Veröffentlicht in:	Differential equations 2018-12, Vol.54 (12), p.1654-1668
Hauptverfasser:	Fomichev, V. V., Kraev, A. V., Rogovskiy, A. I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Control Theory Difference and Functional Equations Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
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Zusammenfassung:	We consider the problem of determining the equations of zero dynamics of a nonlinear system that is affine with respect to the control. All known methods for solving this problem have a restricted scope. We obtain a new algorithm for solving this problem which permits determining equations of zero dynamics of some systems to which the previously known methods cannot be applied.
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S001226611812011X