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Neural Networks for Optimization Problem with Nonlinear Constraints

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Neural Information Processing (ICONIP 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4233))

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Abstract

Hopfield introduced the neural network for linear programming with linear constraints. In this paper, Hopfield neural network has been generalized to solve the optimization problems including nonlinear constraints. The proposed neural network can solve a nonlinear cost function with nonlinear constraints. Also, methods have been discussed to reconcile optimization problems with neural networks and implementation of the circuits. Simulation results show that the computational energy function converges to stable point by decreasing the cost function as the time passes.

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Author information

Authors and Affiliations

  1. Department of Electrical & Electronic Engineering, Cheju National University, Jeju, 690-756, South Korea

    Min-jae Kang & Ho-chan Kim

  2. Department of Computer Engineering, Cheju National University, Jeju, 690-756, South Korea

    Farrukh Aslam Khan, Wang-cheol Song & Sang-joon Lee

Authors
  1. Min-jae Kang
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  2. Ho-chan Kim
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  3. Farrukh Aslam Khan
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  4. Wang-cheol Song
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  5. Sang-joon Lee
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Editor information

Editors and Affiliations

  1. Dept. of Computer Science and Engineering, The Chinese Univ. of Hong Kong, Shatin, N.T., Hong Kong

    Irwin King

  2. Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China

    Jun Wang

  3. The Chinese University of Hong Kong, Shatin, N.T., Hong Kong

    Lai-Wan Chan

  4. Department of Computer Science and Engineering & Center for Cognitive Science, The Ohio State University, OH 43210, Columbus

    DeLiang Wang

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© 2006 Springer-Verlag Berlin Heidelberg

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Kang, Mj., Kim, Hc., Khan, F.A., Song, Wc., Lee, Sj. (2006). Neural Networks for Optimization Problem with Nonlinear Constraints. In: King, I., Wang, J., Chan, LW., Wang, D. (eds) Neural Information Processing. ICONIP 2006. Lecture Notes in Computer Science, vol 4233. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11893257_111

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  • DOI: https://doi.org/10.1007/11893257_111

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-46481-5

  • Online ISBN: 978-3-540-46482-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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