Dynamics control by a time-varying feedback

Dynamics control by a time-varying feedback

We consider a smooth bracket-generating control-affine system in and show that any orientation-preserving diffeomorphism of can be approximated, in a very strong sense, by a diffeomorphism included in the flow generated by a time-varying feedback control which is polynomial with respect to the state...

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Veröffentlicht in:Journal of dynamical and control systems 2010-04, Vol.16 (2), p.149-162
Hauptverfasser: Agrachev, A. A., Caponigro, M.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Calculus of Variations and Optimal Control
Optimization
Control
Control systems
Control theory
Dynamic control
Dynamical Systems
Dynamical Systems and Ergodic Theory
Dynamics
Feedback
Feedback control
Mathematics
Mathematics and Statistics
Systems Theory
Vibration
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Beschreibung
Zusammenfassung:We consider a smooth bracket-generating control-affine system in and show that any orientation-preserving diffeomorphism of can be approximated, in a very strong sense, by a diffeomorphism included in the flow generated by a time-varying feedback control which is polynomial with respect to the state variables and trigonometric-polynomial with respect to the time variable.
ISSN:1079-2724
1573-8698
DOI:10.1007/s10883-010-9087-7