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Normal forms for two-inputs nonlinear control systems

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2 Author(s)
Tall, I.A. ; Dept. of Math., California Univ., Davis, CA, USA ; Respondek, W.

We study the feedback group action on two-inputs nonlinear control systems. We follow an approach proposed by Kang and Krener which consists of analyzing the system and the feedback group step by step. We construct a normal form which generalizes that obtained in the single-input case. We also give homogeneous m-invariants of the action of the group of homogeneous transformations on the homogeneous systems of the same degree. We illustrate our results by analyzing the normal form and invariants of homogeneous systems of degree two.

Published in:

Decision and Control, 2002, Proceedings of the 41st IEEE Conference on  (Volume:3 )

Date of Conference:

10-13 Dec. 2002

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