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TECHNICAL BRIEFS: Papers on Bilinear Control

On the Inverse of a Special Class of Bilinear Systems

[+] Author and Article Information
C. S. Hsu

Department of Electrical Engineering, Washington State University, Pullman, Wash. 99164

R. R. Mohler

Department of Electrical and Computer Engineering, Oregon State University, Corvallis, Ore. 97330

J. Dyn. Sys., Meas., Control 103(2), 103-105 (Jun 01, 1981) (3 pages) doi:10.1115/1.3139648 History: Received April 07, 1980; Online July 21, 2009

Abstract

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.

Copyright © 1981 by ASME
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