Title :
Model-input-state matrix of Switched Boolean Control Networks and its applications
Author :
Zhang, Lequn ; Feng, Jun-e
Author_Institution :
Sch. of Math., Shandong Univ., Jinan, China
Abstract :
The model-input-state matrix of a Switched Boolean Control Network (SBCN) is introduced for the first time. This matrix contains all information of the model-input-state mapping. A necessary and sufficient condition for the controllability of SBCN is obtained. The corresponding control and switching law which drive a point to a given reachable point is designed. One sufficient condition for the observability of a SBCN is obtained. Under the assumption of controllability, one necessary and sufficient condition is derived for the observability.
Keywords :
Boolean algebra; controllability; matrix algebra; observability; time-varying systems; SBCN; controllability; model-input-state mapping; model-input-state matrix; observability; switched Boolean control network; switching law; Controllability; Mathematical model; Matrix converters; Observability; Switches; Trajectory; Switched Boolean control network; model-input-state matrix; semi-tensor product;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2012 10th World Congress on
Conference_Location :
Beijing
Print_ISBN :
978-1-4673-1397-1
DOI :
10.1109/WCICA.2012.6358112
