Title :
H∞ analysis of positive continuous systems with time-delay
Author :
Cuihong Wang ; Huili Yang ; Zhuanxia Yang
Author_Institution :
Dept. of Math. & Comput. Sci., Shanxi Normal Univ., Linfen, China
Abstract :
This paper addresses the problem of the H∞ analysis of positive continuous systems with time-delay. The corresponding bounded real lemma is newly characterized in terms of linear matrix inequalities, in which Lyapunov matrix can be diagonal. Based on the separation theorem of convex set in Euclidean space, we prove that the delay size has no influence on the bounded real lemma of such systems.
Keywords :
H∞ control; continuous systems; control system analysis; delays; linear matrix inequalities; set theory; Euclidean space; H∞ analysis; Lyapunov matrix; bounded real lemma; convex set; delay size; linear matrix inequalities; positive continuous systems; separation theorem; time delay; Continuous time systems; Delays; Linear matrix inequalities; Stability criteria; Symmetric matrices; Vectors; H∞ norm; Linear matrix inequalities (LMIs); Positive Systems; Time-delay;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6895647
