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, vol.15, no.1, pp.183-198, 2020 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 1
  • Publication Date: 2020
  • Journal Name: INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.183-198
  • Keywords: Almost periodic solution, fuzzy cellular neural networks, dichotomy, exponential stability, multiple time lags, GLOBAL ASYMPTOTIC STABILITY, EXPONENTIAL STABILITY, DIFFERENTIAL-EQUATIONS
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

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.