Title :
The normalization and solvability of singular multivalued networks
Author :
Si Qi ; Feng Jun-e ; Yao Juan ; Meng Min
Author_Institution :
Sch. of Math., Shandong Univ., Jinan, China
Abstract :
This paper introduces singular multivalued networks. Using semi-tensor product method, two kinds of algebraic expressions of singular multivalued networks are obtained. The normalization problem of singular multivalued networks is discussed, and one necessary and sufficient condition is supplied. Furthermore, the solution of singular multivalued networks is investigated. And some examples are presented to illustrate effectiveness of the results.
Keywords :
computability; differential algebraic equations; matrix algebra; tensors; algebraic expressions; necessary condition; normalization; normalization problem; semitensor product method; singular multivalued networks; solvability; sufficient condition; Automata; Discrete-time systems; Educational institutions; Equations; Genetics; Matrices; Matrix converters; Admissible Initial Value; Normalization Problem; Semi-tensor Product; Singular Multivalued Networks;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6897082
