On the almost periodic solutions of fuzzy cellular neural networks of high order with multiple time lags

Yazgan R., TUNÇ C.

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, cilt.15, sa.1, ss.183-198, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 1
  • Basım Tarihi: 2020
  • Dergi Adı: INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.183-198
  • Anahtar Kelimeler: Almost periodic solution, fuzzy cellular neural networks, dichotomy, exponential stability, multiple time lags, GLOBAL ASYMPTOTIC STABILITY, EXPONENTIAL STABILITY, DIFFERENTIAL-EQUATIONS
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, the existence and uniqueness and global exponential stability of almost periodic solutions are discussed for a class of high-order fuzzy cellular neural networks with time-varying delays. By means of some properties of almost periodic functions, exponential dichotomy hypotheses and differential inequalities, certain suitable sufficient conditions are established to guarantee the existence and uniqueness of solutions and exponential stability of solutions of the considered mathematical model. We prove two new results on the subject and give an example as an application of these results.