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
fDate :
6/1/2001 12:00:00 AM
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; Schur stable matrix; globally asymptotically stable; planar discrete-time linear systems; saturation; stability analysis; trajectories; Circuit stability; Control nonlinearities; Control systems; Digital filters; Linear systems; Neural networks; Nonlinear control systems; Stability analysis; Sufficient conditions; Transmission line matrix methods;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
