Optimal control of singular boolean control networks via Ledley solution method |
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| Authors: | Yuanhua Wang Peilian Guo |
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| Institution: | 1. Institute of Dynamics and Control Science, Shandong Normal University, Jinan 250014, China;2. School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China;1. Department of Information and Communication Engineering, DGIST, Daegu 42988, Republic of Korea;2. Department of Electrical and Biomedical Engineering, University of Vermont, Burlington, VT, USA;1. Shiraz University of Technology, Iran;2. Shenzhen University, China;1. School of Economic Information Engineering, Southwestern University of Finance and Economics, Chengdu 611130, China;2. School of Mathematics, Southeast University, Nanjing 210096, China;3. Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong;4. Department of Mathematical Sciences, Shibaura Institute of Technology, Saitama, Japan |
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| Abstract: | This paper investigates the optimal control problem for a class of Boolean control networks, called singular Boolean control networks (SBCNs), which consist of two parts: difference equations and algebraic equations. By constructing the truth matrix of Ledley solution, necessary and sufficient conditions are provided for the solvability of SBNs (or SBCNs). Then an effective algorithm is presented to design an optimal control sequence by using the controllability matrix of normalized Boolean control networks. |
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