Two kinds of optimal controls for probabilistic mix-valued logical dynamic networks  

作　　者：LIU ZhenBin WANG YuZhen LI HaiTao 

机构地区：[1]School of Control Science and Engineering, Shandong University [2]Science and Information College, Qingdao Agricultural University

出　　处：《Science China(Information Sciences)》2014年第5期214-223,共10页中国科学（信息科学）（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.61074068,61374065);Research Fund for the Taishan Scholar Project of Shandong Province,Natural Science Foundation of Shandong Province(Grant No.ZR2010FM013);Graduate Independent Innovation Foundation of Shandong University(Grant No.YZC10064)

摘　　要：This paper addresses two kinds of optimal control problems of probabilistic mix-valued logical control networks by using the semi-tensor product of matrices, and presents a number of new results on the optimal finite-horizon control and the first-passage model based control problems, respectively. Firstly, the probabilistic mix-valued logical control network is expressed in an algebraic form by the semi-tensor product method, based on which the optimal finite-horizon control problem is studied and a new algorithm for choosing a sequence of control actions is established to minimize a given cost functional over finite steps. Secondly, the first-passage model of probabilistic mix-valued logical networks is given and a new algorithm for designing the optimal control scheme is proposed to maximize the corresponding probability criterion. FinMly, an illustrative example is studied to support our new results/algorithms.This paper addresses two kinds of optimal control problems of probabilistic mix-valued logical control networks by using the semi-tensor product of matrices, and presents a number of new results on the optimal finite-horizon control and the first-passage model based control problems, respectively. Firstly, the probabilistic mix-valued logical control network is expressed in an algebraic form by the semi-tensor product method, based on which the optimal finite-horizon control problem is studied and a new algorithm for choosing a sequence of control actions is established to minimize a given cost functional over finite steps. Secondly, the first-passage model of probabilistic mix-valued logical networks is given and a new algorithm for designing the optimal control scheme is proposed to maximize the corresponding probability criterion. FinMly, an illustrative example is studied to support our new results/algorithms.

关 键 词：probabilistic mix-valued logical network optimal control first-passage model Markov chain semi-tensor product dynamic programming 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]