Title :
A necessary and sufficient condition for robust asymptotic stability of time-variant discrete systems
Author :
Bauer, P.H. ; Premaratne, K. ; Duran, J.
Author_Institution :
Dept. of Electr. Eng., Notre Dame Univ., IN, USA
fDate :
9/1/1993 12:00:00 AM
Abstract :
A necessary and sufficient condition for the stability of time-variant interval matrices is presented. This condition allows stability to be tested by checking only products of vertex (extreme) matrices. The implementation of the test in the form of an algorithm and two illustrative examples are provided
Keywords :
control system analysis; discrete systems; stability; time-varying systems; necessary condition; robust asymptotic stability; sufficient condition; time-variant discrete systems; time-variant interval matrices; Asymptotic stability; Automatic control; Control systems; Nonlinear systems; Robotics and automation; Robust stability; Sliding mode control; Sufficient conditions; Testing; Variable structure systems;
Journal_Title :
Automatic Control, IEEE Transactions on