【摘要】：任何生物都離不開生態(tài)環(huán)境,它是生物賴以生存的基礎(chǔ).生物通過環(huán)境間的相互作用進(jìn)行著物質(zhì)和能量交換.人們從生態(tài)學(xué)的角度,以外界環(huán)境、生態(tài)系統(tǒng)的類型、種群間的相互作用以及干擾等方面為研究切入點(diǎn),對不同生態(tài)系統(tǒng)空間關(guān)系進(jìn)行研究.由于任何一個(gè)系統(tǒng)都不會(huì)離開所處的環(huán)境而孤立存在,它或多或少都受到外界環(huán)境的干擾,有時(shí)人們?yōu)榱擞行У乩迷偕Y源,不得不對一些生物系統(tǒng)進(jìn)行控制,這種控制是不破壞原系統(tǒng)永久持續(xù)生存的控制,因此人們可以利用這些來達(dá)到為人類服務(wù)的目的.本文主要研究了若干生物系統(tǒng)的耗散控制問題,全文主要內(nèi)容可概括如下:(一)首先利用全局吸引集定義,證明一類帶有時(shí)滯的神經(jīng)網(wǎng)絡(luò)的全局耗散的充要條件,并設(shè)計(jì)一種新方法,對該神經(jīng)網(wǎng)絡(luò)進(jìn)行狀態(tài)估計(jì).(二)將一類自由競爭系統(tǒng)轉(zhuǎn)化為C-G神經(jīng)網(wǎng)絡(luò)系統(tǒng),并利用耗散理論,設(shè)計(jì)控制器,并給出該自由競爭系統(tǒng)全局耗散的條件.(三)分析了一類捕食被捕食系統(tǒng)的穩(wěn)定性,并利用無源化理論,設(shè)計(jì)控制器,使得該系統(tǒng)無源.(四)針對一類具有時(shí)滯和免疫的病毒感染模型,利用一類神經(jīng)網(wǎng)絡(luò)系統(tǒng),根據(jù)耗散化理論設(shè)計(jì)控制器,并給出該模型耗散及指數(shù)耗散的條件.
[Abstract]:Any organism is inseparable from the ecological environment, it is the basis of life. Organisms exchange matter and energy through environmental interactions. From the point of view of ecology, the spatial relationship of different ecosystems is studied from the aspects of external environment, types of ecosystem, interaction among populations and interference. Because no system exists in isolation from its environment, it is more or less disturbed by the external environment, and sometimes people have to control some biological systems in order to make effective use of renewable resources. This control is a control that does not destroy the permanent survival of the original system, so people can use it to serve human beings. In this paper, the dissipative control problems of some biological systems are studied. The main contents of this paper can be summarized as follows: (1) the necessary and sufficient conditions for the global dissipation of a class of neural networks with time delay are first proved by the definition of global attractive set. A new method is designed to estimate the state of the neural network. (2) A class of free competition system is transformed into C-G neural network system, and the controller is designed by using dissipative theory, and the condition of global dissipation of the free competition system is given. (3) the stability of a predator-prey system is analyzed, and a controller is designed to make the system passive by using the passive theory. (4) for a class of virus infection model with time delay and immunity, a kind of neural network system is used to design the controller according to dissipative theory, and the conditions of dissipation and exponential dissipation of the model are given.
【學(xué)位授予單位】：遼寧大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：O231

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本文編號：2363200