隨機系統(tǒng)是指系統(tǒng)的輸入、輸出和擾動有隨機因素,或者系統(tǒng)本身有一些不確定性.眾所周知,隨機系統(tǒng)在科學(xué)、經(jīng)濟、物理、控制等領(lǐng)域具有廣泛地應(yīng)用.世界上許多學(xué)者都致力于研究隨機系統(tǒng)的各種性質(zhì).特別地,穩(wěn)定性和控制理論一直是有趣和重要的課題,因為他們能夠描述隨機系統(tǒng)的顯著特征.切換系統(tǒng)作為一類混合系統(tǒng),由一系列的子系統(tǒng)和控制系統(tǒng)間交換的交換信號構(gòu)成.另一方面,在實際系統(tǒng)中不可避免地會遇到擾動,這意味著隨機模型更適用于描述實際系統(tǒng).以上綜合考慮形成了一種新的模型-切換隨機系統(tǒng).如果系統(tǒng)的切換與控制器切換保持一致,叫做同步交換.而異步交換是相反的,是由于開關(guān)信號的檢測延遲引起的,導(dǎo)致各子系統(tǒng)設(shè)計的控制器周期不匹配.因此,對切換隨機系統(tǒng)的研究是非常重要并具有挑戰(zhàn)意義的.除此以外,我們還考慮了另外一種混雜系統(tǒng):脈沖系統(tǒng).它在離散時間內(nèi)的狀態(tài)會發(fā)生跳躍.最后,給出了一些數(shù)值例子來說明我們的結(jié)果.本文的主要工作包括以下部分:1.第二章研究了帶有時滯的非線性隨機切換系統(tǒng)的輸入-狀態(tài)穩(wěn)定性問題.本文我們主要使用Lyapunov–Krasovskii方法,討論了兩種切換:1)同步切換;2)異步切換.對于同步切換,...

【文章頁數(shù)】：125 頁

【學(xué)位級別】：博士

【文章目錄】：
Abstract
摘要
Notation
Chapter 1 Introduction
    1.1 Background
    1.2 Main Research
        1.2.1 ISS properties on switched stochastic systems
        1.2.2 Research based on asynchronous switching
        1.2.3 ISS properties for impulsive stochastic systems with delay impulse
        1.2.4 Main contribution
Chapter 2 Lyapunov-Krasovskii function for switched stochastic systems
    2.1 Model and problem formulation
    2.2 Main results and their proofs
        2.2.1 Stability analysis of the considered system under synchronous switching
        2.2.2 Stability analysis of the considered systems under asynchronous switching
    2.3 Numerical analysis
    2.4 Conclusion
Chapter 3 Razumikhin theorem for switched stochastic systems
    3.1 The model and the problem
    3.2 Main results and their proofs
        3.2.1 Razumikhin theorem for asynchronous switching
    3.3 Numerical analysis
    3.4 Conclusion
Chapter 4 The switching signals which prevail over the traditional ADT scheme
    4.1 Model description and preliminaries
    4.2 Stability analysis of switched stochastic nonlinear systems
    4.3 Stability analysis of switched stochastic linear systems
    4.4 Numerical analysis
    4.5 Conclusion
Chapter 5 Impulsive stochastic systems with delayed impulses
    5.1 Model description and preliminaries
    5.2 Main results and their proofs
        5.2.1 ISS property for impulsive stochastic nonlinear systems
        5.2.2 Some subsystems are ISS for impulsive stochastic nonlinear systems
        5.2.3 ISS property with multiple jump maps
    5.3 Numerical analysis
    5.4 Conclusion
Chapter 6 Conclusions and Prospects
    6.1 Conclusions
    6.2 Prospects
Bibliography
Publications or Finished Papers
Acknowledgements



本文編號：3925173