Passivity and Biological Control of the Singular Mammal Body Complexity System

Abstract

It is very difficult to use exact mathematical models to study complexity systems. As the units beside complex systems can interact to bring forth its complexity, it is completely true for the mammal body, a classic kind of biological complex system. As singular biological complexity systems, including the mammal body, are considered in a series of new research fields, a few passivity or biological control studies have been carried out up to now. In this research, the single-chamber model of the environmental hormone formaldehyde which is flowing in the mammal body has been set up according to the corresponding physiological rules with the model passivity described in detail. Under the strict passivity station, the feedback controller for this singular mammal body complexity system has been designed with a controller example also given as a model instantiation. Both passivity study and feedback controller design of the mammal body complex system can be applied to biological complexity systems and lay a useful foundation for singular system research.