caa a22 4500 445362006 CHVBK 20180317142918.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s11071-011-9951-3 doi (NATIONALLICENCE)springer-10.1007/s11071-011-9951-3 A note on Poisson stability and controllability [Elektronische Daten] [Xiaoming Wang, Pingyuan Cui, Hutao Cui] The connection between Poisson stability and controllability is revisited. For the controllability criterion based on weakly positive Poisson stability (WPPS) and Lie algebra rank condition (LARC), it is shown that two natural assumptions about the set of input values are necessary for strictness. By using the relationship between conservative property and WPPS, sufficient conditions for controllability of affine nonlinear systems are further discussed. At last, for systems defined on compact Riemannian manifold, the WPPS is proved to be equivalent to Poisson stability. Springer Science+Business Media B.V., 2011 Poisson stability nationallicence Controllability nationallicence Vector field nationallicence Lie algebra nationallicence Riemannian manifold nationallicence Wang Xiaoming Deep Space Exploration Research Center, Harbin Institute of Technology, 150080, Harbin, People's Republic of China aut Cui Pingyuan Deep Space Exploration Research Center, Harbin Institute of Technology, 150080, Harbin, People's Republic of China aut Cui Hutao Deep Space Exploration Research Center, Harbin Institute of Technology, 150080, Harbin, People's Republic of China aut Nonlinear Dynamics Springer Netherlands 66/4(2011-12-01), 789-793 0924-090X 66:4<789 2011 66 11071 https://doi.org/10.1007/s11071-011-9951-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-011-9951-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wang Xiaoming Deep Space Exploration Research Center, Harbin Institute of Technology, 150080, Harbin, People's Republic of China aut NATIONALLICENCE 700 1- Cui Pingyuan Deep Space Exploration Research Center, Harbin Institute of Technology, 150080, Harbin, People's Republic of China aut NATIONALLICENCE 700 1- Cui Hutao Deep Space Exploration Research Center, Harbin Institute of Technology, 150080, Harbin, People's Republic of China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 66/4(2011-12-01), 789-793 0924-090X 66:4<789 2011 66 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer