若干生物系统的耗散控制问题研究
发布时间：2018-11-28 14:56
【摘要】：任何生物都离不开生态环境,它是生物赖以生存的基础.生物通过环境间的相互作用进行着物质和能量交换.人们从生态学的角度,以外界环境、生态系统的类型、种群间的相互作用以及干扰等方面为研究切入点,对不同生态系统空间关系进行研究.由于任何一个系统都不会离开所处的环境而孤立存在,它或多或少都受到外界环境的干扰,有时人们为了有效地利用再生资源,不得不对一些生物系统进行控制,这种控制是不破坏原系统永久持续生存的控制,因此人们可以利用这些来达到为人类服务的目的.本文主要研究了若干生物系统的耗散控制问题,全文主要内容可概括如下:(一)首先利用全局吸引集定义,证明一类带有时滞的神经网络的全局耗散的充要条件,并设计一种新方法,对该神经网络进行状态估计.(二)将一类自由竞争系统转化为C-G神经网络系统,并利用耗散理论,设计控制器,并给出该自由竞争系统全局耗散的条件.(三)分析了一类捕食被捕食系统的稳定性,并利用无源化理论,设计控制器,使得该系统无源.(四)针对一类具有时滞和免疫的病毒感染模型,利用一类神经网络系统,根据耗散化理论设计控制器,并给出该模型耗散及指数耗散的条件.
[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.
【学位授予单位】：辽宁大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O231
本文编号：2363200
[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.
【学位授予单位】：辽宁大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O231
【参考文献】
相关期刊论文 前6条
1 李媛;张庆灵;邱占芝;蔡敏;;具有时变采样周期网络控制系统的严格耗散控制(英文)[J];控制理论与应用;2013年09期
2 江志超;何春江;;具HollingⅡ类功能反应的多时滞捕食-食饵系统的全局性质[J];生物数学学报;2009年03期
3 杨丽;张庆灵;杨晓光;刘佩勇;;一类不确定广义时滞系统的鲁棒耗散控制[J];控制理论与应用;2007年06期
4 邵汉永;;线性离散时滞系统的鲁棒耗散控制[J];控制理论与应用;2006年03期
5 俞立,陈国定;线性时滞系统的无源控制[J];控制理论与应用;1999年01期
6 田晓红;徐瑞;马成军;;一类具有时滞的病毒感染动力学模型的稳定性和Hopf分支[J];军械工程学院学报;2010年05期
相关博士学位论文 前3条
1 朱进;递归神经网络的稳定性和无源性分析[D];东北大学;2010年
2 王开发;病毒感染动力学模型分析[D];西南大学;2007年
3 杨丽;广义系统耗散控制问题的研究[D];东北大学;2006年
，本文编号：2363200
本文链接：https://www.wllwen.com/kejilunwen/yysx/2363200.html
