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On controllability of a class of discrete‐time homogeneous bilinear systems with solvable controls
Author(s) -
Tie Lin,
Cai KaiYuan
Publication year - 2012
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1707
Subject(s) - controllability , discretization , class (philosophy) , mathematics , homogeneous , nonlinear system , euler's formula , control theory (sociology) , bilinear interpolation , computer science , control (management) , mathematical analysis , physics , statistics , combinatorics , quantum mechanics , artificial intelligence
SUMMARY This paper studies the controllability of a class of discrete‐time homogeneous bilinear systems. Necessary and sufficient conditions for the controllability are obtained. In particular, an algorithm for computing the controls, which achieve given states transition, for the controllable systems is given with examples. Furthermore, the necessary and sufficient conditions are applied to present four cases of the change of the controllability for Euler discretization, which show that Euler discretization may and may not change the controllability of nonlinear systems. Copyright © 2011 John Wiley & Sons, Ltd.