A note on the global stability of dynamical neural networks

Arik S.

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, cilt.49, sa.4, ss.502-504, 2002 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 4
  • Basım Tarihi: 2002
  • Doi Numarası: 10.1109/81.995665
  • Dergi Adı: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.502-504
  • Anahtar Kelimeler: dynamical neural networks, equilibrium analysis, global stability, QUADRATIC-PROGRAMMING PROBLEMS, SUFFICIENT CONDITION, ABSOLUTE STABILITY
  • İstanbul Üniversitesi-Cerrahpaşa Adresli: Evet

Özet

It is shown that the additive diagonal stability condition on the interconnection matrix of a neural network, together with the assumption that the activation functions are nondecreasing, guarantees the uniqueness of the equilibrium point. This condition, under the same assumption on the activation functions, is also shown to imply the local attractivity and local asymptotic stability of the equilibrium point, thus ensuring the global asymptotic stability (GAS) of the equilibrium point. The result obtained generalizes the previous results derived in the literature.