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

• 成果类型: Article
• 署名作者: Tang, Tianyu; Ding, Xueying; Lu, Jianquan; Liu, Yang
• 署名单位: Southeast University - China; Zhejiang Normal University; Zhejiang Normal University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3389822
• 发表日期: 2024
• 页码: 7028-7035
• 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

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.