Title :
An investigation on the stability of n-D Lur´e systems
Author :
Duignan, Roisin ; Curran, Paul F.
Author_Institution :
Sch. of Electr., Electron. & Mech. Eng., Univ. Coll. Dublin
Abstract :
Necessary and sufficient conditions for the existence of a common piecewise quadratic Liapunov function for n-D single variable Lur´e systems are stated in terms of LMI´s and a sufficient condition is stated in terms of a frequency domain inequality. Hence a simple analytic necessary condition for absolute stability of n-D systems is established. Numerical evidence is presented to establish the absolute stability of a class of third order Lur´e systems
Keywords :
Lyapunov matrix equations; linear matrix inequalities; piecewise linear techniques; stability; frequency domain inequality; n-D Lur´e system; piecewise Liapunov function; quadratic Liapunov function; single variable Lur´e systems; system stability; third order Lur´e systems; Air traffic control; Control systems; Decision making; Educational institutions; Frequency domain analysis; Mechanical engineering; Stability analysis; Stability criteria; Sufficient conditions; Time varying systems;
Conference_Titel :
Circuits and Systems, 2006. ISCAS 2006. Proceedings. 2006 IEEE International Symposium on
Conference_Location :
Island of Kos
Print_ISBN :
0-7803-9389-9
DOI :
10.1109/ISCAS.2006.1693189
