Title :
Absolute stability of 2nd order discrete-time single variable lur´e systems
Author :
Duignan, Roisin ; Curran, Paul F.
Author_Institution :
Sch. of Electr., Electron. & Mech. Eng., UCD Dublin, Dublin, Ireland
Abstract :
In this paper the absolute stability of 2nd order discrete-time single variable Lur´e systems is investigated. Simple sufficient conditions for the existence of a common unic Lyapunov function are presented. A necessary condition for the existence of a common unic Liapunov function for 2nd order discrete Lur´e systems is expressed as a simple restriction on the root locus of the system.
Keywords :
Lyapunov methods; discrete time systems; nonlinear control systems; root loci; stability; 2nd order discrete-time single variable Lur´e system; absolute stability; common unic Lyapunov function; root locus; Mechanical engineering; Negative feedback; Pulse width modulation; Space vector pulse width modulation; Stability criteria; Sufficient conditions; Testing; Time varying systems; Upper bound; User centered design;
Conference_Titel :
Circuit Theory and Design, 2009. ECCTD 2009. European Conference on
Conference_Location :
Antalya
Print_ISBN :
978-1-4244-3896-9
Electronic_ISBN :
978-1-4244-3896-9
DOI :
10.1109/ECCTD.2009.5275057
