Output tracking of switched Boolean networks under open-loop/closed-loop switching signals |
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| Institution: | 1. School of Mathematical Science, Shandong Normal University, Jinan 250014, PR China;2. School of Control Science and Engineering, Shandong University, Jinan 250061, PR China;1. University of Potsdam, Potsdam, Germany;2. INRIA, Rennes, France;3. CNRS, Université Paris-Sud LRI-UMR 8623, Orsay, France;4. CNRS, Université de Rennes 1, IRISA-UMR 6074, Rennes, France;5. École Centrale de Nantes, IRCCyN UMR CNRS 6597, Nantes, France;1. Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China;2. College of Engineering, Bohai University, Jinzhou 121013, China;3. School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore;4. College of Information Science and Technology, Bohai University, Jinzhou 121013, China;1. School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, PR China;2. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia;3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia |
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| Abstract: | This paper addresses the output tracking problem of switched Boolean networks (SBNs) via the semi-tensor product method, and presents a number of new results. Firstly, the concept of switching-output-reachability is proposed for SBNs, based on which, a necessary and sufficient condition is presented for the output tracking of SBNs under arbitrary open-loop switching signal. Secondly, a constructive procedure is proposed for the design of closed-loop switching signals for SBNs to track a constant reference signal. The study of an illustrative example shows that the obtained new results are very effective. |
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| Keywords: | Switched Boolean network Output tracking Switching signal design Semi-tensor product of matrices |
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