Modeling of complex dynamic systems using differential neural networks with the incorporation of a priori knowledge-Reference-Cited by-同舟云学术

Modeling of complex dynamic systems using differential neural networks with the incorporation of a priori knowledge

Published:2015-09 Issue: Volume:266 Page:515-526
ISSN:0096-3003
Container-title:Applied Mathematics and Computation
language:en
Short-container-title:Applied Mathematics and Computation

Author:

Bellamine Fethi,Almansoori A.,Elkamel A.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference41 articles.

1. Intelligent Systems: Approximation by Artificial Neural Networks;Anastassiou,2011

2. Model order reduction using neural network principal component analysis and generalized dimensional analysis;Bellamine;Eng. Comput. Int. J. CAE Softw.,2008

3. Numerical characterization of distributed dynamic systems using tools of intelligent computing and generalized dimensional analysis;Bellamine;J. Appl. Math. Comput.,2006

4. On the nonlinear optimal regulator problem;Goh;Automatica,1993

5. Meshless methods and their implementation in the radial basis networks;Gorbachenko;Neurocomput. Dev. Appl.,2010

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Dual-Dimer method for training physics-constrained neural networks with minimax architecture;Neural Networks;2021-04

2. Finite element network analysis: A machine learning based computational framework for the simulation of physical systems;Computers & Structures;2021-04

3. Synchronization analysis of complex dynamical networks with hybrid coupling with application to Chua’s circuit;Journal of Control;2020-11-01

4. Multi-Fidelity Physics-Constrained Neural Network and Its Application in Materials Modeling;Journal of Mechanical Design;2019-09-27

5. Detection and Modeling Vibrational Behavior of a Gas Turbine Based on Dynamic Neural Networks Approach;Strojnícky casopis – Journal of Mechanical Engineering;2018-11-01