A generalization of the Poincaré‐Miranda theorem with an application to the controllability of nonlinear repetitive processes

In the paper, we prove a generalization of the classical finite‐dimensional Poincaré‐Miranda theorem to the case of system of a denumerable number of equations. Next, we use the obtained theorem to prove some result on the controllability of nonlinear repetitive processes. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society