Title :
The trajectory manifold of a nonlinear control system
Author :
Hauser, John ; Meyer, David G.
Author_Institution :
Dept. of Electr. & Comput. Eng., Colorado Univ., Boulder, CO, USA
Abstract :
In this paper, we show the set of exponentially stabilizable trajectories of a nonlinear system is a Banach manifold as smooth as the system. The main tool is a projection operator resulting a trajectory tracking control law. These results provide important insights into the nature of the trajectory exploration problem
Keywords :
Banach spaces; asymptotic stability; nonlinear control systems; tracking; Banach manifold; exponentially stabilizable trajectories; nonlinear control system; trajectory manifold; trajectory tracking control law; Closed loop systems; Contracts; Control systems; Differential equations; Feedback loop; Manifolds; Nonlinear control systems; Nonlinear systems; Trajectory;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.760833
