本文關鍵詞： 布爾控制網(wǎng)絡 矩陣半張量積 輸出穩(wěn)定 輸出鎮(zhèn)定　出處：《控制理論與應用》2017年09期 　論文類型：期刊論文

【摘要】：矩陣的半張量積是將邏輯變量轉化為向量研究的主要工具.本文利用半張量積把邏輯控制系統(tǒng)表示為離散時間仿射線性系統(tǒng),在邏輯系統(tǒng)的狀態(tài)空間框架下研究了以布爾控制網(wǎng)絡為代表的邏輯動態(tài)系統(tǒng)的輸出穩(wěn)定與鎮(zhèn)定.首先給出布爾網(wǎng)絡輸出穩(wěn)定的定義,研究了布爾網(wǎng)絡輸出穩(wěn)定的充要條件;其次討論了布爾控制網(wǎng)絡的輸出鎮(zhèn)定,分別得到了布爾控制網(wǎng)絡由常值輸入變量、自由控制序列、狀態(tài)反饋控制序列輸出鎮(zhèn)定的條件.本文討論的系統(tǒng)輸出穩(wěn)定與鎮(zhèn)定是(部分)變量穩(wěn)定與鎮(zhèn)定的推廣.
[Abstract]:The semi-tensor product of matrix is the main tool to transform logic variable into vector. In this paper, we use semi-tensor product to express the logic control system as discrete time affine linear system. The output stability and stabilization of logic dynamic systems represented by Boolean control networks are studied in the framework of state space of logic systems. Firstly, the definition of output stability of Boolean networks is given, and the necessary and sufficient conditions for output stability of Boolean networks are studied. Secondly, the output stabilization of Boolean control network is discussed, and the constant input variable and free control sequence of Boolean control network are obtained, respectively. The output stability and stabilization of the system discussed in this paper is a generalization of (partial) variable stability and stabilization.
【作者單位】： 河南財經(jīng)政法大學數(shù)學與信息科學學院;河南財經(jīng)政法大學計算機與信息工程學院;
【基金】：國家自然科學基金項目(61640315,61603125,61374079) 河南財經(jīng)政法大學青年學術創(chuàng)新骨干研究資助計劃;河南財經(jīng)政法大學青年拔尖人才資助計劃(hncjzfdxqnbjrc201607)資助~~
【分類號】：O231
，

本文編號：1531182