Volume 17, Issue 40 (Mathematic- 2015)
2015, 17(40): 51-62 |
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Soleymanpour Bakefayat A, Dastranj N. Stabilization of Nonlinear Control Systems bu using Zobov's Theorem and Neural Networks. Journal title 2015; 17 (40) :51-62
URL: http://jsci.khu.ac.ir/article-1-2035-en.html
URL: http://jsci.khu.ac.ir/article-1-2035-en.html
Abstract: (7433 Views)
In this paper, We Stabilize a subclass of nonlinear control systems by using neural networks and Zobov's theorem. Zobov’s Theorem is one of the theorems which indicates the conditions for the stability of a nonlinear systems with specific attraction region. We applied neural networks to approximate some functions mentioned in Zobov’s theorem, So as to find the controller of a nonlinear controlled system which is difficult task to find its law in mathematic manner. also we apply nelder meed optimization method to learning neural network. Finally, the effectiveness and the applicability of the proposed method are demonstrated by using some numerical examples.
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