Abstract
The authors describe sufficient conditions, extending earlier work by J. Kurzweil and J. Jarnik (Reults in Mathematics, vol. 14, pp. 125-137, 1988), for a sequence of inputs to be such that, for every m-tuple of smooth vector fields, the trajectories of the time derivative of x(t) converge to those of an extended system, where the new vector fields are Lie brackets of the original m-tuples. Using these conditions, the inverse problem is solved, wherein given a trajectory γ of the extended system, one must find trajectories of the original system that converge to γ. This is done by means of a universal construction that only involves knowledge of the coefficients of the extended system. These results can be applied to solve the problem of approximate tracking for a controllable system without drift.
Original language | English (US) |
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Title of host publication | Proceedings of the IEEE Conference on Decision and Control |
Publisher | Publ by IEEE |
Pages | 437-442 |
Number of pages | 6 |
ISBN (Print) | 0780304500 |
State | Published - Jan 1 1992 |
Event | Proceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3) - Brighton, Engl Duration: Dec 11 1991 → Dec 13 1991 |
Other
Other | Proceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3) |
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City | Brighton, Engl |
Period | 12/11/91 → 12/13/91 |
All Science Journal Classification (ASJC) codes
- Chemical Health and Safety
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality