The analysis of stability of immune control system based on small gain theorem

The biological immune system has many characteristics that can be applied to artificial intelligence for reference. Based on the biological T cell and the B cell immune response mechanism, one general immune controller (T-B_-IC) model has been established in this paper. The immune controller model obtained from some former research is a concrete realization of which the T-B_IC model is proposed in this article. It is well known that the boundary and stability of a control system are the most important factors for evaluating the system performance. For a control system made up of the T-B_IC model, an analytical study of the boundedness and stability for the control system has little been published. In this paper, an IO boundedness theorem and a stability theorem have been made and the certification has been also given for a kind of SISO immune control system based on the small gain theorem. Similar result of the theorems can be achieved easily for other immune control systems which are composed of a kindred immune controller.