Title :
Geometric first-order controllability conditions for affine connection control systems
Author :
Hirschorn, Ron M. ; Lewis, Andrew D.
Author_Institution :
Dept. of Math. & Stat., Queen´´s Univ., Kingston, Ont., Canada
Abstract :
Strong conditions, involving first-order symmetric products, are given for controllability of affine connection control systems. The conditions generalise, at the first-order level, earlier conditions for affine connection control systems, and involve the use of a vector-valued quadratic form as the essential ingredient in the statement of the results
Keywords :
controllability; feedback; geometry; nonlinear control systems; vectors; affine connection control systems; first-order symmetric products; geometric first-order controllability conditions; nonlinear control systems; strong conditions; vector-valued quadratic form; Calculus; Control systems; Controllability; Equations; Feedback; Kinetic theory; Lagrangian functions; Mathematics; Mechanical systems; Statistics;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980850
