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On strong controllability for planar affine nonlinear systems
Author(s) -
Sun Yimin,
Yu Gaohang
Publication year - 2018
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.4039
Subject(s) - controllability , nonlinear system , affine transformation , control theory (sociology) , planar , mathematics , polynomial , class (philosophy) , point (geometry) , topology (electrical circuits) , control (management) , computer science , mathematical analysis , pure mathematics , geometry , physics , combinatorics , computer graphics (images) , quantum mechanics , artificial intelligence
Summary Different to linear systems, a controllable nonlinear system does not generally imply that it is strongly controllable. This paper will investigate the strong controllability of planar affine nonlinear systems and obtain its necessary and sufficient condition by introducing the variation function of the control curve. These conditions are imposed on the system structure only. In addition, we also point out that, for a class of polynomial systems, their strong controllability is equivalent to their controllability. Finally, some examples are given to show the application of our results.