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ON SMALL-TIME LOCAL CONTROLLABILITY.
- Source :
- SIAM Journal on Control & Optimization; 2020, Vol. 58 Issue 2, p425-446, 22p
- Publication Year :
- 2020
-
Abstract
- In this paper, we study small-time local controllability of real analytic control-affine systems under small perturbations of their vector fields. Consider a real analytic control system Χ which is small-time locally controllable and whose reachable sets shrink with the polynomial rate of order N with respect to time. We will prove a general theorem which states that any real analytic control-affine system whose vector fields are perturbations of the vector fields of Χ with polynomials of order higher than N is again small-time locally controllable. In particular, we show that this result connects two long-standing open conjectures about small-time local controllability of systems. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03630129
- Volume :
- 58
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- SIAM Journal on Control & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 148461832
- Full Text :
- https://doi.org/10.1137/16M1068797