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A generalization of the Poincaré‐Miranda theorem with an application to the controllability of nonlinear repetitive processes
Author(s) -
Idczak D.,
Majewski M.
Publication year - 2010
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.174
Subject(s) - controllability , generalization , nonlinear system , countable set , mathematics , poincaré conjecture , control (management) , pure mathematics , control theory (sociology) , discrete mathematics , mathematical analysis , computer science , artificial intelligence , physics , quantum mechanics
Abstract 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