CAJ | 학술논문

介绍高阶布尔（控制）网络,并研究了其拓扑结构.以矩阵的半张量积作为工具,把高阶布尔网络的动态过程转化为2种标准离散事件动态系统的代数形式.证明了高阶布尔网络和第1代数形式的一一对应关系,并由此得到其拓扑结构（不动点、极限圈以及暂态期等）.还研究了高阶布尔网络系统与它第2代数形式的关系.
개소고계포이（공제）망락,병연구료기탁복결구.이구진적반장량적작위공구,파고계포이망락적동태과정전화위2충표준리산사건동태계통적대수형식.증명료고계포이망락화제1대수형식적일일대응관계,병유차득도기탁복결구（불동점、겁한권이급잠태기등）.환연구료고계포이망락계통여타제2대수형식적관계.
The higher order Boolean (control) network is introduced and its topological structure is studied.Using semi-tensor product of matrices,its dynamics is converted into two algebraic forms,which are standard discrete-time dynamic systems.The one-to-one correspondence of the network dynamics and its first algebraic form is proved,and certain topological structures,including fixed points,cycles,and transient time,of higher order Boolean (control) networks are revealed.The relationship between the original system and its second algebraic form is also studied.