Title :
Analysis and control of discrete-time piecewise linear time-delay systems
Author :
Xu, Mei-Jin ; Zhao, Yan ; Deng, Wei
Author_Institution :
Dept. of Math. & Phys., Liaoning Univ. of Technol., Jinzhou, China
Abstract :
This paper presents a method for analysis and control of discrete-time piecewise linear time-delay systems based on a piecewise Lyapunov functional. It is shown that the stability and stabilization conditions can be formulated and solved by a set of linear matrix inequalities (LMIs) and the less conservative results can be obtained. Numerical examples are given to illustrate the effectiveness of the proposed method.
Keywords :
Lyapunov methods; delays; discrete time systems; linear matrix inequalities; piecewise linear techniques; stability; discrete-time piecewise systems; linear matrix inequalities; linear time-delay systems; piecewise Lyapunov functional; stabilization conditions; Automatic control; Control system analysis; Control systems; Linear matrix inequalities; Lyapunov method; Mathematics; Physics; Piecewise linear techniques; Road safety; Stability analysis; Piecewise linear systems; discrete-time systems; linear matrix inequality (LMI); stability; stabilization; time-delay;
Conference_Titel :
Control and Decision Conference, 2009. CCDC '09. Chinese
Conference_Location :
Guilin
Print_ISBN :
978-1-4244-2722-2
Electronic_ISBN :
978-1-4244-2723-9
DOI :
10.1109/CCDC.2009.5195080
