Reachable set estimation for switched homogeneous positive systems of degree greater than one

Abstract

AbstractThis article estimates the reachable set for a class of switched nonlinear positive systems with disturbance. The systems we discussed are homogeneous of degree greater than one and cooperative. Criteria are derived for the existence of a ball where all the solutions of the system converge asymptotically within. Then the results are extended to switched homogeneous positive time‐varying system of degree greater than one and general switched time‐varying system. Finally numerical examples are proposed to illustrate the theoretical results.