NECESSARY AND SUFFICIENT CONDITION FOR GLOBAL CONTROLLABILITY OF A CLASS OF AFFINE NONLINEAR SYSTEMS

Yimin SUN;Shengwei MEI;Qiang LU

Journal of Systems Science & Complexity ›› 2007, Vol. 20 ›› Issue (4) : 492-500.

PDF(218 KB)
PDF(218 KB)
Journal of Systems Science & Complexity ›› 2007, Vol. 20 ›› Issue (4) : 492-500.
article

NECESSARY AND SUFFICIENT CONDITION FOR GLOBAL CONTROLLABILITY OF A CLASS OF AFFINE NONLINEAR SYSTEMS

  • Yimin SUN, Shengwei MEI, Qiang LU
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Abstract

In this paper, we investigate the global controllability of a class of n-dimensional affine nonlinear systems with n1 controls and constant control matrix. A necessary and sufficient condition for its global controllability has been obtained by
using the methods recently developed. Furthermore, we generalize the above result to a class of affine nonlinear systems with a block-triangular-like structure. Finally, we will give three examples to show the applications of our results.

Key words

Affine nonlinear systems / block-triangular-like structure / global controllability / vector field.

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Yimin SUN , Shengwei MEI , Qiang LU. NECESSARY AND SUFFICIENT CONDITION FOR GLOBAL CONTROLLABILITY OF A CLASS OF AFFINE NONLINEAR SYSTEMS. Journal of Systems Science and Complexity, 2007, 20(4): 492-500
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