supported by National Natural Science Foundation of China(Grant No.62073202);Young Experts of Taishan Scholar Project(Grant No.tsqn201909076)。
Dear editor,As an effective model of genetic regulatory networks,the Boolean network was introduced by Kauffman,and has since been extensively studied in systems biology.Boolean control networks(BCNs)are Boolean netwo...
supported by Zhejiang Provincial Natural Science Foundation(Grant No.LD19A010001);National Natural Science Foundation of China(Grant Nos.11671361,61573096,61833005);China Postdoctoral Science Foundation(Grant Nos.2016T90406,2015M580378);in part supported by Jiangsu Provincial Key Laboratory of Networked Collective Intelligence(Grant No.BM2017002)。
Dear editor,Boolean networks(BNs)were introduced by Kauffman[1]to model complex and nonlinear biological systems.They have become a powerful tool for describing,analyzing,and simulating gene regulatory networks[2].Pro...
supported by National Natural Science Foundation of China (Grant No. 61374148)
Dear editor,Analysis of reachability sets is of fundamental importance for a Petri net (PN). A reachability set can be represented by a reachability tree (RT),which is a powerful tool for intuitively checking the prop...
supported by National Natural Science Foundation of China (Grant Nos. 61573199, 61573200)
Dear editor,As mathematical models, finite automata have been a powerful synthesis tool for modeling and analyzing discrete event systems where states and events are a finite logical or discrete set. In deterministic ...
supported by National Natural Science Foundation of China (Grant Nos. 61573154, 61573156);partly supported by Science and Technology Project of Guangdong Province (Grant Nos. 2015A010106003, 2014A020217015)
The consensus tracking problem of nonlinear stochastic multi-agent systems with directed topologies is investigated in this study. To solve the consensus tracking problem, first, an innovative concept of sub-reachabil...
supported by National Natural Science Foundation of China (Grant Nos. 61573199, 61573200);Tianjin Natural Science Foundation of China (Grant Nos. 14JCYBJC18700, 13JCYBJC17400)
This paper applies the model petri net method based on the semi-tensor product of matrices to colored petri net. Firstly, we establish the marking evolution equation for colored petri net by using the semitensor produ...
supported by NSFC-JSPS Bilateral Joint Research Project (Grant No. 61511140100);National Natural Science Foundation of China (Grant Nos. 61472240, 61602224, 91318301)
Updatable timed automata(UTAs) proposed by Bouyer et.al., is an extension of timed automata(TAs) having the extra ability to update clocks in a more elaborate way than simply reset them to zero.The reachability of...
supported by National Natural Science Foundation of China (Grant Nos. 61374065, 61503225);Natural Science Foundation of Shandong Province (Grant No. ZR2015FQ003);Research Fund for the Taishan Scholar Project of Shandong Province
This paper investigates the output reachability and output regulation control design of Boolean control networks(BCNs) by using the semi-tensor product method, and presents a number of new results.First, the concept...
supported by HEGAOJI Major Project of China (Grant No. 2009ZX01036-001-001-2);Open Project Program of the State Key Laboratory of Mathematical Engineering and Advanced Computing (Grant No. 2013A11)
Dear editor, The increasing trend of multimedia applications' proliferation brings about multimedia extensions' wide use among existing microprocessors of mainstream manufacturers, e.g., Intel's MMX, AMD's 3DNow!,...
supported by National Natural Science Foundation of China(Grant Nos.61203050,61143002,61104065,61074114);Natural Science Foundation of Educational Commission of Henan Province(Grant Nos.2011B110002,12B110002)
In this paper, using semi-tensor product and the vector form of Boolean logical variables, the Boolean control network (BCN) is expressed as a bilinear discrete time system about state and control variables. Based o...