An application of REDUCE: The elimination process for bilinear or linear systems

AbstractThe elimination technique, i.e., the transformation of a differential system given by its state space representation into a local diffeomorphism, depending only on its input-output variables, becomes a very interesting problem for various theoretical and experimental reasons. In the case of linar and bilinear state space systems, this transformation consists of a sereies of elementary algebraic operations, which can be easily written in formal language. We will give, in this article, the algorithm written in REDUCE and some results of our computations