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mmr 2015, 1(1): 51-62 |
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Soleymanpour Bakefayat A, Dastranj N. Stabilization of Nonlinear Control Systems through Using Zobov’s Theorem and Neural Networks . mmr 2015; 1 (1) :51-62
URL: http://mmr.khu.ac.ir/article-1-2528-en.html
URL: http://mmr.khu.ac.ir/article-1-2528-en.html
1- Department of Mathematical Sciences, Payame Noor University, Iran
Abstract: (2764 Views)
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.
Keywords: Nonlinear Control systems, Stabilization, Artificial Neural Networks, Zobov’s Theorem, Nelder-Meed Optimization
Type of Study: Original Manuscript |
Subject:
alg
Received: 2016/02/15 | Revised: 2017/09/13 | Accepted: 2016/02/15 | Published: 2016/02/15 | ePublished: 2016/02/15
Received: 2016/02/15 | Revised: 2017/09/13 | Accepted: 2016/02/15 | Published: 2016/02/15 | ePublished: 2016/02/15
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