Title :
A complete stability analysis of planar linear systems under saturation
Author :
Hu, Tingshu ; Lin, Zongli
Author_Institution :
Dept. of Electr. Eng., Virginia Univ., Charlottesville, VA, USA
Abstract :
A complete stability analysis is performed on a planar system of the form x˙=σ(Ax), where A is a Hurwitz matrix and σ is the saturation function. Necessary and sufficient conditions for the system to be globally asymptotically stable or to have a closed trajectory are explicitly given in terms of the entries of A. These conditions also indicate that the system always has a closed trajectory if it is not globally asymptotically stable
Keywords :
asymptotic stability; control system analysis; linear systems; matrix algebra; Hurwitz matrix; complete stability analysis; global asymptotic stability; necessary and sufficient conditions; planar linear systems; saturation function; Circuit stability; Control nonlinearities; Control systems; Digital filters; Linear systems; Neural networks; Nonlinear control systems; Stability analysis; Sufficient conditions; Transmission line matrix methods;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.831349
