本文關(guān)鍵詞：具有l(wèi)eakage時滯的非線性系統(tǒng)的動態(tài)分析及控制　出處：《江南大學(xué)》2016年博士論文　論文類型：學(xué)位論文

  更多相關(guān)文章： 神經(jīng)網(wǎng)絡(luò) 雙向聯(lián)想記憶神經(jīng)網(wǎng)絡(luò) 基因調(diào)控網(wǎng)絡(luò) leakage時滯 中立時滯 穩(wěn)定性 采樣數(shù)據(jù)控制 Markov切換 線性離散系統(tǒng) 一致性

【摘要】：系統(tǒng)的歷史狀態(tài)會對當(dāng)前的狀態(tài)造成一定的影響,也就是說我們在考慮系統(tǒng)演化時不僅要顧及到當(dāng)前的狀態(tài)而且要考慮到過去的狀態(tài),甚至是過去狀態(tài)的變化率.時滯也常常是系統(tǒng)振蕩、不穩(wěn)定的主要因素,因此對時滯的非線性系統(tǒng)進(jìn)行分析與控制的研究具有重要的理論和實(shí)際價值.本文基于Lyapunov泛函方法、矩陣?yán)碚�、不等式技巧、圖論知識、隨機(jī)微分方程等,主要考慮leakage時滯對幾類神經(jīng)網(wǎng)絡(luò)和基因調(diào)控網(wǎng)絡(luò)的動力學(xué)行為的影響.另一方面,近年來,數(shù)據(jù)采樣控制技術(shù)和事件觸發(fā)控制為系統(tǒng)控制理論提供了新思路.我們將這種方法用于具有l(wèi)eakage時滯的BAM和GRN的控制以及受到外界惡意輸入影響的離散系統(tǒng)穩(wěn)定性控制問題的研究.本文的研究工作具體如下:1.研究了具有采樣數(shù)據(jù)反饋的leakage時滯的BAM神經(jīng)網(wǎng)絡(luò)指數(shù)穩(wěn)定性問題,應(yīng)用時間輸入延遲的方法和不等式技巧,得到了確保系統(tǒng)指數(shù)穩(wěn)定的充分條件.鑒于在實(shí)際應(yīng)用中,獲取的信號通常具有一定的持續(xù)性,為了研究這些滯后信號的累積效應(yīng),我們考慮了具有采樣數(shù)據(jù)反饋的連續(xù)分布型leakage時滯的BAM神經(jīng)網(wǎng)絡(luò)穩(wěn)定性問題.2.通過分析leakage時滯對BAM系統(tǒng)的影響,發(fā)現(xiàn)當(dāng)系統(tǒng)無leakage時滯或時滯不超過一定范圍時,系統(tǒng)是穩(wěn)定的,而當(dāng)leakage時滯超出某值時,系統(tǒng)變得不穩(wěn)定.然后通過設(shè)計(jì)合適的采樣控制器使得不穩(wěn)定的系統(tǒng)趨于穩(wěn)定,最后通過數(shù)值模擬來驗(yàn)證理論的有效性及可行性.類似的方法應(yīng)用到基因調(diào)控網(wǎng)絡(luò)上,依據(jù)Lyapunov泛函方法和線性矩陣不等式設(shè)計(jì)采樣控制器使得不穩(wěn)定的leakage時滯系統(tǒng)趨于穩(wěn)定,并用數(shù)值實(shí)例表明理論的有效性.3.研究了涉及到leakage時滯,中立時滯等混合時滯的基因調(diào)控網(wǎng)絡(luò)穩(wěn)定性問題,推廣和改進(jìn)了一些文獻(xiàn)的結(jié)論.應(yīng)用隨機(jī)微分方程等理論我們考慮了具有Markov切換和混合時間延遲的隨機(jī)基因調(diào)控網(wǎng)路的穩(wěn)定性,并且利用數(shù)值模擬驗(yàn)證理論的可行性.4.研究了受到攻擊的線性離散系統(tǒng)的穩(wěn)定性控制問題及其應(yīng)用.首先討論事件觸發(fā)控制策略在受到依一定概率分布攻擊的線性離散系統(tǒng)的穩(wěn)定性問題中的應(yīng)用,得到了使得系統(tǒng)均方最終有界的充分條件.并將這種方法應(yīng)用到受攻擊的多智能體系統(tǒng)中,得到了使得多智能體系統(tǒng)達(dá)到均方最終有界一致的充分條件,并用數(shù)值實(shí)例說明了理論的有效性。
[Abstract]:The history of the system state will cause a certain impact on the current state, that is to take into account not only the current state but also to take into account the past state we consider system evolution, and even change the past state rate. Time delay is often the system oscillation, the main cause of instability, so the analysis and Research on the time delay control of nonlinear systems has important theoretical and practical value. In this paper, the Lyapunov functional method, based on matrix theory and inequality technique, graph theory, stochastic differential equations, considering the dynamic behavior of main leakage regulation network delay on several kinds of neural networks and gene. On the other hand, in recent years, data sampling control the event triggered control technology and provides a new idea for system control theory. We apply this method to control with leakage BAM and GRN delay and to the outside world Study on the stability of the discrete system control effect of malicious input. The specific contents are as follows: 1. research on the BAM neural network with exponential stability of leakage time-delay feedback sampling data, method and inequality techniques, application time of input delay, the sufficient conditions to ensure the exponential stability of the system. In practical application, to obtain the signal usually has a certain degree of persistence, in order to study the cumulative effect of these delay signals, we consider a sampling of.2. BAM neural network stability problem of continuous distribution delay leakage data feedback through the analysis of the influence of delay on the leakage BAM system, found that when the leakage system without delay or delay does not exceed a certain range, the system is stable, while leakage delay beyond a certain value, the system becomes unstable. Then through the sampling control system makes the appropriate The instability of the system tends to be stable, finally through the numerical simulation to verify the validity and feasibility of the theory. A similar method is applied to the gene regulatory network, according to the Lyapunov functional method and linear matrix inequality design sampling controller makes leakage time-delay system instability tends to be stable, and the numerical examples show that the effectiveness of.3. theory research involving to leakage delay, the stability of gene regulatory network of neutral delay mixed delays, improve and generalize some results in the literature. The application of stochastic differential equation theory, we consider the stability of stochastic gene regulatory network of Markov switching and mixing time delay, the stability control problem and its application feasibility of.4. and numerical simulation verify the theoretical research linear discrete systems under attack. First discuss the event triggered control strategy are in accordance with The application of stability of the linear discrete system with a certain probability distribution in the attack, we obtain sufficient conditions for the system are ultimately bounded. And this method is applied to multi-agent systems under attack, for the multi-agent system reached final some sufficient conditions for boundedness and uniform, and the the validity of the theory with a numerical example.

【學(xué)位授予單位】：江南大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2016
【分類號】：TP13

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