Polynomial dissipativity of proportional delayed BAM neural networks

• 作者: Lin Xing Liqun Zhou
• 来源期刊: 生物数学学报:英文版
• 学科: 数学
• 关键词: Global polynomial dissipativity BAM neural networks proportional delay a generalized Halanay inequality Lyapunov functionals
• 年，卷（期）: 2020,（6）
• 页码范围: 179-198
• 页数: 20页
• 分类号: O17

摘要

This paper pays close attention to the global polynomial dissipativity(GPD)for proportional delayed BAM neural networks(PDBAMNNs).The global exponential dissipativity(GED)and the global dissipativity(GD)are also talked about.Under the help of novel Lyapunov functionals and a generalized Halanay inequality,a set of dissipative criteria for such systems are led out,together with the global polynomial attracting set(GPAS)and the global attracting set(GAS).Further,the relationship among GPD,GED and GD is unveiled.Finally,a proposed theoretical condition is validated through a simulation experiment.