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Nonlinear regulators and Ritt’s remainder algorithm. (English) Zbl 0794.93042

Bonnard, Bernard (ed.) et al., Analysis of controlled dynamical systems. Proceedings of a conference held in Lyon, France, July 1990. Boston, MA: Birkhäuser. Prog. Syst. Control Theory. 8, 224-232 (1991).
Summary: Ritt’s algorithm can be used to compute a controller for a nonlinear system, so that the closed loop dynamics agrees with a specified differential polynomial. A necessary condition for a practical controller is that the system is minimum phase.
For the entire collection see [Zbl 0773.00014].

MSC:

93C10 Nonlinear systems in control theory
12H05 Differential algebra
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