Title :
Remarks on differential stability of nonlinear systems
Author :
Georgiou, Tryphon T.
Author_Institution :
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
Abstract :
Following up on earlier work (1993) the author discusses a generalization of the framework to encompass systems with inputs and outputs taking values on differential manifolds with no underlying linear structure. In this case, external disturbances are thought of as taking values in the group of diffeomorphism of these manifolds. The author deals with the special case where the input/output manifolds are Lie groups. The stability of a feedback interconnection relates to a geometric decomposition of the input-output manifold by the graphs of plant and controller
Keywords :
Lie groups; feedback; graph theory; nonlinear control systems; stability; Lie groups; differential manifolds; differential stability; external disturbances; feedback interconnection; geometric decomposition; input/output manifolds; nonlinear systems; Control systems; Differential equations; Feedback; Manifolds; Nonlinear systems; Robust control; Stability;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.410972
