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Controllability with quadratic drift
1.  School of Engineering and Applied Sciences, Harvard University, Cambridge MA 02138, United States 
References:
[1] 
Cesar O. Aguilar, Local controllability of controlaffine systems with quadratic drift and constant controlinput vector fields, in "Proceedings of the 2012 IEEE Conference on Decision and Control," (2012), 18771882. doi: 10.1109/CDC.2012.6425807. Google Scholar 
[2] 
R. W. Brockett, Nonholonomic regulators, in "Proc. of the 2012 IEEE Conference on Decision and Control," (2012), 18651870. doi: 10.1109/CDC.2012.6426321. Google Scholar 
[3] 
P. Brunovský, A classification of controllable linear systems, Kybernetika (Prague), 6 (1970), 173188. Google Scholar 
[4] 
R. E. Kalman, When is a linear control system optimal?, J. Basic Eng., 86 (1964), 5160. doi: 10.1115/1.3653115. Google Scholar 
[5] 
J. W. Melody, T. Basar and F. Bullo, On nonlinear controllability of homogeneous systems linear in the control, IEEE Transactions on Automation and Control, 48 (2000), 139143. Google Scholar 
[6] 
H. Sussmann, A general theorem on local controllability, SIAM J. on Control and Optimization, 25 (1987), 158194. doi: 10.1137/0325011. Google Scholar 
[7] 
R. W. Brockett, Feedback invariants for nonlinear systems, in "Proceedings of the 1978 IFAC Congress, Helsinki, Finland," Pergamon Press, Oxford, (1978), 11151120. Google Scholar 
show all references
References:
[1] 
Cesar O. Aguilar, Local controllability of controlaffine systems with quadratic drift and constant controlinput vector fields, in "Proceedings of the 2012 IEEE Conference on Decision and Control," (2012), 18771882. doi: 10.1109/CDC.2012.6425807. Google Scholar 
[2] 
R. W. Brockett, Nonholonomic regulators, in "Proc. of the 2012 IEEE Conference on Decision and Control," (2012), 18651870. doi: 10.1109/CDC.2012.6426321. Google Scholar 
[3] 
P. Brunovský, A classification of controllable linear systems, Kybernetika (Prague), 6 (1970), 173188. Google Scholar 
[4] 
R. E. Kalman, When is a linear control system optimal?, J. Basic Eng., 86 (1964), 5160. doi: 10.1115/1.3653115. Google Scholar 
[5] 
J. W. Melody, T. Basar and F. Bullo, On nonlinear controllability of homogeneous systems linear in the control, IEEE Transactions on Automation and Control, 48 (2000), 139143. Google Scholar 
[6] 
H. Sussmann, A general theorem on local controllability, SIAM J. on Control and Optimization, 25 (1987), 158194. doi: 10.1137/0325011. Google Scholar 
[7] 
R. W. Brockett, Feedback invariants for nonlinear systems, in "Proceedings of the 1978 IFAC Congress, Helsinki, Finland," Pergamon Press, Oxford, (1978), 11151120. Google Scholar 
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