期刊
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
卷 25, 期 5, 页码 2040-2061出版社
SPRINGERNATURE
DOI: 10.1007/s13540-022-00076-6
关键词
Discrete fractional-order neural networks; Discrete fractional Halanay inequality; Stability; Synchronization
资金
- National Nature Science Foundation of China [62173027, 61973329]
- Natural Science Foundation of Hebei Province [A2020205026]
- Scientific Research Foundation of Hebei Education Department [QN2020202]
- Science Foundation of Hebei Normal University [L2020B01]
- Natural Science Foundation of Beijing Municipality [Z180005]
This paper introduces the discrete fractional-order Halanay inequality with distributed delays. Then, based on the generalized discrete fractional Halanay inequality and Lyapunov functional method, several novel Mittag-Leffler stability and synchronization conditions of discrete fractional-order neural network systems with distributed delays are derived. An example is given to illustrate one of the results.
In this paper, the discrete fractional-order Halanay inequality with distributed delays is introduced. Then, based on the generalized discrete fractional Halanay inequality and Lyapunov functional method, several novel Mittag-Leffler stability and synchronization conditions of discrete fractional-order neural network systems with distributed delays are derived. Finally, an example is given to illustrated one of the results.
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