Title :
Piecewise Lyapunov functions for robust stability of linear time-varying systems
Author :
Xie, Lin ; Shishkin, Serge L. ; Fu, Minyue
Author_Institution :
Dept. of Electr. & Comput. Eng., Newcastle Univ., NSW, Australia
Abstract :
In this paper, we investigate the use of two-term piecewise quadratic Lyapunov functions for robust stability of linear time-varying systems. By using the so-called S-procedure and a special variable reduction method, we provide numerically efficient conditions for the robust asymptotic stability of the linear time-varying systems involving the convex combinations of two matrices. An example is included to demonstrate the usefulness of our results
Keywords :
Lyapunov methods; asymptotic stability; linear systems; matrix algebra; optimisation; time-varying systems; S-procedure; asymptotic stability; linear matrix inequality; linear systems; optimisation; piecewise Lyapunov functions; robust stability; time-varying systems; variable reduction method; Asymptotic stability; Australia; Informatics; Linear matrix inequalities; Lyapunov method; Robust stability; Robustness; Stability analysis; Time varying systems; Uncertain systems;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.479149
