Title :
Further remarks on the invertibility of multivariable nonlinear systems
Author_Institution :
CNRS-ESE, Gif-sur-Yvette, France
Abstract :
The long-standing problem of inverting nonlinear input-output systems is solved by employing differential algebra. Simple characterizations of left and right invertibility are given. These rest upon an invariant integer which, for constant linear systems, turns out to be the rank of the transfer matrix. For control-linear systems, this integer is computed via a generalization of Silverman´s structure algorithm.
Keywords :
Algebra; Character generation; Control systems; Differential algebraic equations; Differential equations; Linear systems; Mathematics; Nonlinear equations; Nonlinear systems; State-space methods;
Conference_Titel :
Decision and Control, 1986 25th IEEE Conference on
Conference_Location :
Athens, Greece
DOI :
10.1109/CDC.1986.267374
