DocumentCode :
232552
Title :
Modelling combined automata via semi-tensor product of matrices
Author :
Yan Yongyi ; Chen Zengqiang ; Liu Zhongxin
Author_Institution :
Tianjin Key Lab. of Intell. Robot., Nankai Univ., Tianjin, China
fYear :
2014
fDate :
28-30 July 2014
Firstpage :
6560
Lastpage :
6565
Abstract :
Using semi-tensor product of matrices (STP), a new matrix analysis tool, this paper investigates the problem of modelling combined automata, which are constructed in three ways: parallel, serial and feedback. By representing the states, input and output symbols in vector forms, the transition and output functions are expressed as algebraic equations of the states and inputs, in which the matrix product is STP. Based on such algebraic descriptions, three new models are established for three types of combined automata with the help of STP. Illustrative examples verify the correctness of the new models.
Keywords :
automata theory; matrix algebra; tensors; vectors; STP; algebraic equations; combined automata modelling; matrix product; output function; semi-tensor product of matrices; transition function; vector form; Automata; Educational institutions; Equations; Finite element analysis; Mathematical model; Matrices; Vectors; Automata; Composition of automata; Matrix approach; Semi-tensor product of matrices;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
Type :
conf
DOI :
10.1109/ChiCC.2014.6896075
Filename :
6896075
Link To Document :
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