Event-triggered-based Synchronization And Control Analysis Of Boolean Control Network

Since Boolean network model can be used to well describe,analyze and simulate gene regulatory networks and biological logic networks,more and more scholars have been attracted to study Boolean(control)networks.The synchronization of Boolean control networks is an important research direction in control theory,and it is also concerned by a large number of scholars.The research on these problems is not only of great significance,but also has a wide range of practical applications.This paper investigates the synchronization of Boolean control networks under event-triggered control,the synchronization of Boolean control networks under event-triggered sampling feedback control,and the synchronization of drive-response Boolean control networks with impulse disturbance by using semi-tensor product of matrices.The main contents of this paper are listed as follows:The first chapter gives a survey for the synchronization and event-triggered control of Boolean control networks,then introduces some definitions,lemmas,properties and other related preliminary knowledge of semi-tensor product of matrices,and also introduces how to use semi-tensor product of matrices to build algebraic model of Boolean networks(or Boolean control networks).The second chapter concerns the synchronization of drive-response Boolean control networks under event-triggered control.The algebraic form of drive-response Boolean control networks is acquired with the help of semi-tensor product of matrices.Using the algebraic form,a necessary and sufficient condition is obtained for the synchronization of drive-response Boolean control networks.Then,a constructive procedure is presented to design event-triggered controllers for the drive-response Boolean control networks.Finally,a numerical example is given for the illustration of the main results.In the third chapter,synchronization problem in an array of output-coupled Boolean control networks is studied by using event-triggered sampled feedback control.Algebraic form of an array of output-coupled Boolean control networks is presented via the semi-tensor product of matrices.Based on the algebraic for-m,a necessary and sufficient condition is obtained for the synchronization of an array of output-coupled Boolean control networks.Furthermore,an algorithm is proposed to design event-triggered sampled feedback controllers.Finally,the obtained results are well illustrated by numerical examples.The forth chapter focuses on the topic of synchronization of drive-response Boolean control networks with impulsive disturbances.By transforming Boolean control networks with impulsive disturbances into its algebraic expression,free control sequence for synchronization of Boolean control networks with impulsive disturbances is designed.Besides,some necessary and sufficient conditions are derived for synchronization of Boolean control networks with impulsive disturbances under feedback control.Moreover,an algorithm is presented to design feedback controllers.Lastly,one example is used to better illustrate the derived results.Finally,in the fifth chapter,the above work and results are summarized.Moreover,some issues which can be improved in the future are suggested.