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

【摘要】：矩陣的半張量積是將邏輯變量轉(zhuǎn)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(shí)間仿射線(xiàn)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(luò)為代表的邏輯動(dòng)態(tài)系統(tǒng)的輸出穩(wěn)定與鎮(zhèn)定.首先給出布爾網(wǎng)絡(luò)輸出穩(wěn)定的定義,研究了布爾網(wǎng)絡(luò)輸出穩(wěn)定的充要條件;其次討論了布爾控制網(wǎng)絡(luò)的輸出鎮(zhèn)定,分別得到了布爾控制網(wǎng)絡(luò)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(cái)經(jīng)政法大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院;河南財(cái)經(jīng)政法大學(xué)計(jì)算機(jī)與信息工程學(xué)院;
【基金】：國(guó)家自然科學(xué)基金項(xiàng)目(61640315,61603125,61374079) 河南財(cái)經(jīng)政法大學(xué)青年學(xué)術(shù)創(chuàng)新骨干研究資助計(jì)劃;河南財(cái)經(jīng)政法大學(xué)青年拔尖人才資助計(jì)劃(hncjzfdxqnbjrc201607)資助~~
【分類(lèi)號(hào)】：O231
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本文編號(hào)：1531182