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International Symposium on Neural Networks

ISNN 2017: Advances in Neural Networks - ISNN 2017 pp 439–448Cite as

Global Asymptotic Stability for Octonion-Valued Neural Networks with Delay

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10261))

Abstract

Over the last few years, neural networks with values in multidimensional domains have been intensely studied. This paper introduces octonion-valued neural networks with delay, for which the states and weights are octonions. The octonion algebra represents a non-associative normed division algebra which generalizes the complex and quaternion algebras and doesn’t fall into the category of Clifford algebras, which are associative. A sufficient criterion is derived in terms of linear matrix inequalities that ensures the existence, uniqueness, and global asymptotic stability of the equilibrium point for the proposed networks. Finally, a simulation example illustrates the effectiveness of the theoretical results.

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Author information

Authors and Affiliations

  1. Department of Computer and Software Engineering, Polytechnic University Timişoara, Blvd. V. Pârvan, No. 2, 300223, Timişoara, Romania

    Călin-Adrian Popa

Authors
  1. Călin-Adrian Popa
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Correspondence to Călin-Adrian Popa .

Editor information

Editors and Affiliations

  1. Dalian University of Technology, Dalian, China

    Fengyu Cong

  2. City University of Hong Kong, Kowloon Tong, Hong Kong

    Andrew Leung

  3. Chinese Academy of Sciences, Beijing, China

    Qinglai Wei

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Popa, CA. (2017). Global Asymptotic Stability for Octonion-Valued Neural Networks with Delay. In: Cong, F., Leung, A., Wei, Q. (eds) Advances in Neural Networks - ISNN 2017. ISNN 2017. Lecture Notes in Computer Science(), vol 10261. Springer, Cham. https://doi.org/10.1007/978-3-319-59072-1_52

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  • DOI: https://doi.org/10.1007/978-3-319-59072-1_52

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-59071-4

  • Online ISBN: 978-3-319-59072-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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