Title :
Three Dimension Minimal Realization in Linear System of Max-algebra
Author :
Zhimin Sun ; Wende Chen
Author_Institution :
Acad. of Math. & Syst. Sci., Chinese Acad. of Sci., Beijing, China
Abstract :
We study the minimal realization of a low dimension SISO linear system in the max-algebra. We classify 3-rank periodic unit impulse response sequence {gi}0∞ into four categories according to their characteristic equations, and discuss the necessary and sufficient conditions of the existence of 3D minimal realization respectively.
Keywords :
linear systems; matrix algebra; realisation theory; transient response; 3D minimal realization; SISO linear system; max-algebra; periodic unit impulse response sequence; Argon; Control systems; Electronic mail; Equations; IEEE catalog; Linear systems; Mathematics; Speech synthesis; Sufficient conditions; Sun; Max-algebra; Minimal Realization; Periodic Sequence;
Conference_Titel :
Control Conference, 2006. CCC 2006. Chinese
Conference_Location :
Harbin
Print_ISBN :
7-81077-802-1
DOI :
10.1109/CHICC.2006.280925