Controllability and Observability Analysis of Nonlinear Positive Discrete Systems

Abstract

This article studies the controllability and observability of nonlinear positive discrete systems. These properties play a fundamental role in system analysis before controller and observer design is engaged. We solve these problems by a technique based on the fixed point theory.

On a Safety Set for an Epidemic Model With a Bounded Population

“…Some recent works related to the characterization of this property for discrete and continuous systems are [5] and [6] and an algorithm for computing reachable states for non-linear biological models is given in [13]. Moreover, an approach based on the fixed point theory can be found in [22]. In [17] the authors consider a reachability problem for an affine system on a full-dimensional polytope and they study how to reach a particular facet of the polytope.…”