本文選題：切換系統(tǒng) + 正系統(tǒng)��； 參考：《濟南大學(xué)》2017年碩士論文

【摘要】：切換系統(tǒng)作為混合動力系統(tǒng)的一種,它集合了離散狀態(tài)和連續(xù)狀態(tài),也就是由一系列子系統(tǒng)以及在這些子系統(tǒng)之間起協(xié)調(diào)切換作用的規(guī)則(或者說切換信號)所組成的混合動力系統(tǒng)。另外,在現(xiàn)實世界中,許多物理系統(tǒng)所涉及到的變量都是非負的,這樣的系統(tǒng)就要涉及到正系統(tǒng)。本文考慮了幾類可以借助于正系統(tǒng)穩(wěn)定性理論方法進行研究的切換系統(tǒng)的穩(wěn)定性問題。由于結(jié)合了正系統(tǒng)和切換系統(tǒng)的相關(guān)特性,本文給出了切換系統(tǒng)若干新的指數(shù)穩(wěn)定性結(jié)果。其內(nèi)容安排如下:第一章,簡要介紹了切換系統(tǒng)、正系統(tǒng)和正切換系統(tǒng)的發(fā)展現(xiàn)狀,并介紹本文所要研究的主要內(nèi)容。第二章,簡要介紹本文需要用到的基本知識以及符號定義。第三章,首先介紹具有時滯和非線性擾動的切換線性系統(tǒng)的指數(shù)穩(wěn)定,給出了系統(tǒng)指數(shù)穩(wěn)定的判據(jù),其次研究了切換非線性系統(tǒng)的指數(shù)穩(wěn)定性,進而給出了系統(tǒng)指數(shù)穩(wěn)定的充分條件,最后數(shù)值舉例并仿真作圖說明了結(jié)果的有效性。第四章,運用平均滯留時間的方法,研究切換線性系統(tǒng)和切換非線性系統(tǒng)的指數(shù)穩(wěn)定性。首先,研究了帶時滯和非線性擾動的切換線性系統(tǒng)的指數(shù)穩(wěn)定性,其次研究了帶時滯的切換非線性系統(tǒng)的指數(shù)穩(wěn)定性,最后數(shù)值舉例并仿真作圖說明了結(jié)果的有效性。第五章,對研究的內(nèi)容總結(jié)和展望。簡要歸納本文內(nèi)容,總結(jié)創(chuàng)新之處,并給出了對本文今后研究的想法和展望。
[Abstract]:As a kind of hybrid power system, switched systems are composed of discrete state and continuous state. In other words, a hybrid power system is composed of a series of subsystems and the rules (or switching signals) that coordinate the switching between these subsystems. In addition, in the real world, the variables involved in many physical systems are nonnegative, and such systems involve positive systems. In this paper, we consider some stability problems of switched systems which can be studied by means of positive system stability theory. In this paper, some new exponential stability results of switched systems are given because of the correlation between positive systems and switched systems. The contents are arranged as follows: in Chapter 1, the development of switched system, forward system and forward switched system are introduced briefly, and the main contents of this paper are introduced. The second chapter briefly introduces the basic knowledge and symbol definition of this paper. In chapter 3, the exponential stability of switched linear systems with time delay and nonlinear perturbation is introduced, and the criteria for exponential stability of switched linear systems are given. Secondly, the exponential stability of switched nonlinear systems is studied. Furthermore, sufficient conditions for exponential stability of the system are given. Finally, numerical examples and simulation diagrams are given to illustrate the validity of the results. In chapter 4, the exponential stability of switched linear systems and switched nonlinear systems is studied by using the method of mean residence time. Firstly, the exponential stability of switched linear systems with time delay and nonlinear perturbation is studied. Secondly, the exponential stability of switched nonlinear systems with time delay is studied. Finally, numerical examples are given to illustrate the effectiveness of the results. Chapter five summarizes and prospects the content of the research. This paper briefly summarizes the content of this paper, summarizes the innovation, and gives the ideas and prospects for the future research of this paper.
【學(xué)位授予單位】：濟南大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：O19

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本文編號：1781993