Title :
A complete stability analysis of planar discrete-time 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 discrete-time system of the form x(k + 1) = sat(Ax(k)), where A is a Schur stable matrix and ´sat´ is the saturation function. Necessary and sufficient conditions for the system to be globally asymptotically stable are given. In the process of establishing these conditions, the behaviors of the trajectories are examined in detail
Keywords :
asymptotic stability; discrete time systems; linear systems; matrix algebra; Schur stable matrix; asymptotic stability; discrete-time systems; limit trajectories; linear systems; saturation function; Asymptotic stability; Circuits; Control nonlinearities; Control systems; Linear systems; Neural networks; Nonlinear control systems; Stability analysis; Sufficient conditions; Transmission line matrix methods;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.945635
