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
fDate :
4/1/2000 12:00:00 AM
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 (GAS) 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 GAS
Keywords :
asymptotic stability; linear systems; Hurwitz matrix; closed trajectory; global asymptotic stability; planar linear system; saturation function; Analog circuits; Circuit stability; Control nonlinearities; Control systems; 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
