On the Inverse of a Special Class of Bilinear Systems

In this paper, the design of inverse system for a special class of bilinear control processes is examined. It is shown that if the rank of the input matrix B is unity, then the inverse system of a bilinear process is a completely controllable linear time-invariant system. A simplified model of immune response is used as an example to illustrate the design procedure and its biomedical significance. Result of computer simulation is also presented.