Equilibrium analysis of delayed CNN's

Arik S., Tavsanoglu V.

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, cilt.45, sa.2, ss.168-171, 1998 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 2
  • Basım Tarihi: 1998
  • Doi Numarası: 10.1109/81.661684
  • 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.168-171
  • Anahtar Kelimeler: cellular neural networks, complete stability, global asymptotic stability, stable equilibrium points, CELLULAR NEURAL NETWORKS, STABILITY
  • İstanbul Üniversitesi-Cerrahpaşa Adresli: Evet

Özet

This brief presents two new results on the global stability of cellular neural networks with delay (DCCN's), First, a sufficient condition for the uniqueness and global asymptotic stability of the equilibrium point is given. Then, a sufficient condition for the existence of a stable equilibrium point in the total saturation region is obtained. The significance of the conditions is that the stability properties of the equilibrium point are not affected by the delay parameter. These conditions are also weaker than some previously given for global stability of DCNN's.