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Filtrations in feedback synthesis: Part I – Systems and feedbacks
-
Emmanuel Delaleau
and
Paulo Sérgio Pereira da Silva
Published/Copyright:
March 2, 2009
Abstract
This paper presents an intrinsic differential algebraic framework for considering feedback in nonlinear control systems. In particular, filtrations of differential field extensions are shown to be useful for the definition of state feedback and the interpretation of two algorithms, namely the Structure Algorithm and the Dynamic Extension Algorithm, wellknown in the context of control theory. This difierential algebraic approach allows defining quasi-static state feedback.
Received: 1996-05-07
Revised: 1997-07-18
Published Online: 2009-03-02
Published in Print: 1998-03-11
© Walter de Gruyter
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Articles in the same Issue
- On Weiss' geometric characterization of the Rudvalis simple group
- Filtrations in feedback synthesis: Part I – Systems and feedbacks
- On twists of cuspidal representations of GL(2)
- Conditions on composition operators which map a space of Triebel-Lizorkin type into a Sobolev space. The case 1 < s < n/p. II
- Smooth unions of Butler groups
- Nonhenselian valuation domains and the Krull–Schmidt Property for torsion-free modules
Articles in the same Issue
- On Weiss' geometric characterization of the Rudvalis simple group
- Filtrations in feedback synthesis: Part I – Systems and feedbacks
- On twists of cuspidal representations of GL(2)
- Conditions on composition operators which map a space of Triebel-Lizorkin type into a Sobolev space. The case 1 < s < n/p. II
- Smooth unions of Butler groups
- Nonhenselian valuation domains and the Krull–Schmidt Property for torsion-free modules
