351. Global exponential periodicity and stability of neural network models with generalized piecewise constant delay
- Author
-
Fernando Córdova-Lepe and Kuo-Shou Chiu
- Subjects
010101 applied mathematics ,Exponential stability ,Artificial neural network ,General Mathematics ,010102 general mathematics ,Piecewise ,Applied mathematics ,0101 mathematics ,Constant (mathematics) ,01 natural sciences ,Stability (probability) ,Mathematics ,Exponential function - Abstract
In this paper, the global exponential stability and periodicity are investigated for delayed neural network models with continuous coefficients and piecewise constant delay of generalized type. The sufficient condition for the existence and uniqueness of periodic solutions of the model is established by applying Banach’s fixed point theorem and the successive approximations method. By constructing suitable differential inequalities with generalized piecewise constant delay, some sufficient conditions for the global exponential stability of the model are obtained. Typical numerical examples with simulations are utilized to illustrate the validity and improvement in less conservatism of the theoretical results. This paper ends with a brief conclusion.
- Published
- 2021