Dissipative Control Problem For Some Classes Of Biological Systems

The ecological environment is the foundation of biological survival and any creature can not leave it.Due to the biological system exchange the material and energy through environment,people often research the different ecological system spatial relations from the external environment,the type of ecological system and the interaction between population and interference in perspective of ecology as a research point.As any system will not exist in isolation out of environment and it is under the interference of the external environment more or less.Sometimes people want to use the renewable resource in effectively,so we have to control the biological systems for the purpose that the service of mankind and this control for systems will not destroy the original systems.This paper mainly studies the dissipation of several biological control system.The main results of this paper can be summarized as bellow:(I)For a class of neural networks with time delay,we get the necessary and sufficient conditions for the global dissipation by the definition of the global attractor,and design a kind of new method for state estimation of the neural network.(II)We transform a class of free competition system to a C-G neural network system and design the controller through the theory of dissipation.In the end,we give the conditions of the free competition system global dissipation.(III)In the paper,the stability for a class of predation prey system is analyzed.we design the controller through the passive localization theory to make the system passive.(IV)For a class of viral infection model with time delay and immune,we design the controller through the dissipative theory,and get the model of dissipative and exponential dissipative conditions.