| Abstract: | In this paper, a method of controlling a class of non-linear systems, x = F(x,t) (x element Rn) (or xk+1 = F(xk), (xk element Rn)), where F(x,t) (or F(xk)) is polynomial of degree m on x (or xk), is proposed. It can be proved that there exist solutions, x(t) (or xk), through specified open-loop (Hubler) action and a suitable non-linear closed-loop (feedback) action, which can be entrained to an arbitrary given goal, g(t) (or gk) element Rn, and the controlling basins of entrainment BE(g) (or BE(gk)) are global. |
