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2023, Volume 24, Issue 6

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Frontiers of Information Technology & Electronic Engineering >> 2023, Volume 24, Issue 6 doi: 10.1631/FITEE.2200618

Controllability of Boolean control networks with multiple time delays in both states and controls

Affiliation(s): National Center for Applied Mathematics in Chongqing, Chongqing Normal University, Chongqing 401331, China; Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China; less

Received: 2022-12-04 Accepted: 2023-07-03 Available online: 2023-07-03
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Abstract

In this paper, the problem of of (BCNs) with multiple s in both states and controls is investigated. First, the problem of BCNs with multiple s in controls is considered. For this problem, a matrix is constructed by defining a new product of matrices, based on which a necessary and sufficient condition is obtained. Then, the of BCNs with multiple s in states is studied by giving a necessary and sufficient condition. Subsequently, based on these results, a matrix for BCNs with multiple s in both states and controls is proposed that provides a concise condition. Finally, two examples are given to illustrate the main results.

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