Controllability and Observability of Singular Boolean Control Networks

被引：42
|
作者：
Meng, Min [1 ]
Li, Beiyou [2 ]
Feng, Jun-e [1 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
[2] Qilu Univ Technol, Sch Finance, Jinan 250353, Peoples R China
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2015年 / 34卷 / 04期
关键词：
Controllability; Observability; Input-state incidence matrix; Singular Boolean control networks; DYNAMICS;
D O I：
10.1007/s00034-014-9900-8
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
Controllability and observability of singular Boolean control networks are proposed in this paper from its algebraic form via semi-tensor product. First, the input-state incidence matrix of singular Boolean control networks is presented based on which the generalized input-state incidence matrix is also defined. Second, a necessary and sufficient condition for the controllability of singular Boolean control networks is given, as well as an algorithm to design controls which drive a state to a reachable state. At last, similar to Boolean control networks, a sufficient condition of observability of singular Boolean control networks is obtained.
引用
收藏
页码：1233 / 1248
页数：16
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