TY - JOUR
T1 - Local asymptotic approximation of non-linear control systems!
AU - Bressan, Alberto
N1 - Funding Information:
Received 31 August 1984. t Supported by the U.S. Army under Contract DAAG29-80-C-0041. t Istituto di Matematica Applicata, Universita di Padova, 35131 Padova, Via Belzoni 7, Italy.
PY - 1985/5
Y1 - 1985/5
N2 - Let g1, …, gm be smooth vector fields on Rd. Using a canonical linear rescaling of time and space coordinates, the control system is transformed into a system, on the same state space, which is arbitrarily close to a nilpotent one. This approximation takes place in the C∞ topology, and is particularly useful for the study of local properties of (+) which depend on the high-order variational structure of the vector fields gi.
AB - Let g1, …, gm be smooth vector fields on Rd. Using a canonical linear rescaling of time and space coordinates, the control system is transformed into a system, on the same state space, which is arbitrarily close to a nilpotent one. This approximation takes place in the C∞ topology, and is particularly useful for the study of local properties of (+) which depend on the high-order variational structure of the vector fields gi.
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U2 - 10.1080/0020718508961201
DO - 10.1080/0020718508961201
M3 - Article
AN - SCOPUS:0022061889
SN - 0020-7179
VL - 41
SP - 1331
EP - 1336
JO - International Journal of Control
JF - International Journal of Control
IS - 5
ER -