Improved Criteria for Controllability of Markovian Jump Boolean Control Networks With Time-Varying State Delays

被引：0
|
作者：
Tang, Tianyu [1 ]
Ding, Xueying [1 ]
Lu, Jianquan [1 ]
Liu, Yang [2 ,3 ]
机构：
[1] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
[2] Zhejiang Normal Univ, Key Lab Intelligent Educ Technol & Applicat Zhejia, Jinhua 321004, Peoples R China
[3] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2024年 / 69卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Controllability; Delays; Switches; Trajectory; Matrix converters; Focusing; Iterative methods; Computational complexity; controllability; Markovian jump Boolean control networks (MJBCNs); semi-tensor product (STP) of matrices; time-varying state delays; OBSERVABILITY; STABILITY;
D O I：
10.1109/TAC.2024.3389822
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This article studies the controllability of time-varying-delayed Markovian jump Boolean control networks (DMJBCNs). To begin with, a novel augmented approach is proposed to stack the DMJBCNs into expectation form, where the iterative complexity is markedly reduced from O(N tau+1) to O((tau + 1)N). Under this way, the necessary and sufficient criterion for the fixed-time trajectory controllability of DMJBCNs is derived. Then, constructing another augmented representation for DMJBCNs, the criterion for the finite-time state controllability is presented. Specially, focusing on DMJBCNs with constant delays, by decomposing subsystems and computing the expectation forms piecewise, extra nonaugmented criterion for the finite-time state controllability is proposed, where the iterative complexity is further reduced to O(N). Finally, three biological examples are given to illustrate the theoretical results.
引用
收藏
页码：7028 / 7035
页数：8
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