Title :
D-stability and D-stabilization of descriptor discrete time-delay systems with poytopic uncertainties
Author :
Ruizhi Zhang ; Xian Zhang ; Fanbiao Li
Author_Institution :
Sch. of Math. Sci., Heilongjiang Univ., Harbin, China
Abstract :
This paper is concerned with the problems of D-stability and D-stabilization for descriptor discrete time-delay systems with poytopic uncertainties. In terms of LMIs, sufficient conditions based on parameter-dependent Lyapunov functions are presented. These conditions guarantee all the poles of a corresponding system in a specified circular region. A numerical example illustrates the validity of our approach.
Keywords :
Lyapunov methods; control system analysis; delay systems; discrete time systems; linear matrix inequalities; stability; uncertain systems; D stabilization; LMI; descriptor discrete time delay system; linear matrix inequality; parameter dependent Lyapunov function; poytopic uncertainty; Delay; Robust stability; Robustness; Stability analysis; State feedback; Symmetric matrices; Uncertainty; D-stability; D-stabilization; Descriptor Discrete Time-delay System; Linear Matrix Inequality (LMI); Poytopic Uncertainties;
Conference_Titel :
Control Conference (CCC), 2010 29th Chinese
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-6263-6
