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On Goursat normal forms, prolongations, and control systems

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2 Author(s)
Tilbury, D. ; Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA ; Sastry, S.S.

In this paper, the method of exterior differential systems for analyzing nonlinear systems is presented. Conditions are given for converting Pfaffian systems into Goursat normal form, and for converting control systems into Brunovsky form. All of the existing results on feedback linearization for control systems can be restated in the language of Pfaffian systems, and in addition, new conditions for linearizing control systems using dynamic extension are given

Published in:

Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on  (Volume:2 )

Date of Conference:

14-16 Dec 1994