Optimal Finite-horizon Control Problem of Context-sensitive Probabilistic Boolean Networks with Perturbation
This paper investigates the optimal finite-horizon control problem of context-sensitive probabilistic Boolean control networks with perturbation by using the semi-tensor product of matrices, and presents a number of new results/algorithm. Firstly, the context-sensitive probabilistic Boolean network with perturbation is expressed in an algebraical form, and the transition matrix is given by three parts: the general part, the switched part and the perturbation part. Secondly, the optimal finite-horizon control problem is studied and a new algorithm is established to choose a sequence of control actions to minimize a given cost functional over finite steps. Finally, the study of an illustrative example shows that the results/algorithm presented in this paper are very effective.
Optimal Control Context-sensitive Probabilistic Boolean Network Perturbation Semi-tensor Product
Liu Zhenbin Wang Yuzhen
Science and Information College, Qingdao Agricultural University, Qingdao 266109, P. R. China School School of Control Science and Engineering, Shandong University, Jinan 250061, P. R. China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
140-145
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）