Stabilization of Nonlinear Control Systems through Using Zobov’s Theorem and Neural Networks
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Abstract:
Zobov’s Theorem is one of the theorems which indicate the conditions for the stability of a nonlinear system with specific attraction region. We have applied neural networks to approximate some functions mentioned in Zobov’s theorem in order to find the controller of a nonlinear controlled system whose law in a mathematical manner is difficult to make. Finally, the effectiveness and the applicability of the proposed method are demonstrated through using numerical examples.
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Journal title
volume 1 issue 1
pages 51- 62
publication date 2015-07
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