PROJECT TITLE :

Reach Control Problem for Linear Differential Inclusion Systems on Simplices

ABSTRACT:

This technical note considerations the reach management downside for the dynamical systems represented by linear differential inclusions. The goal is to derive conditions for the trajectories of a differential inclusion outlined on a full-dimensional simplex to achieve exit facets in finite time using affine feedback. To realize this goal, an invariance condition is firstly derived for Lipschitz differential inclusions. As an application of the obtained invariance condition, the reach control downside (RCP) is solved for two categories of differential inclusions: norm-bounded linear differential inclusion and polytypic linear differential inclusion, within the sense of strong and weak reachability, respectively.