International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Short Communication

Some properties of a class of fuzzy neural networks

Choon Ki Ahn1* and Pyung Soo Kim2
1Department of Automotive Engineering, Seoul National University of Science and Technology, 172 Gongneung 2-dong, Nowon-gu, Seoul 139-743, Korea. 2Department of Electronic Engineering, Korea Polytechnic University, 2121 Jeongwang-dong, Siheung 429-793, Korea.
Email: [email protected]

  •  Accepted: 13 June 2011
  •  Published: 18 August 2011


This paper investigates some properties of Takagi-Sugeno (T-S) fuzzy Hopfield neural networks. First, we prove that there exists a unique solution of the T-S fuzzy Hopfield neural network. Second, we determine a condition for input-to-state stability (ISS) of the T-S fuzzy Hopfield neural network. These results will be useful to analyze dynamic behavior of fuzzy neural networks.


Key words: Unique solution, input-to-state stability (ISS), fuzzy neural networks.