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Yan M, Jian J, Zheng S. Passivity analysis for uncertain BAM inertial neural networks with time-varying delays. Neurocomputing 2021. [DOI: 10.1016/j.neucom.2020.12.073] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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Abstract
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.
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Affiliation(s)
- Lin Xing
- School of Mathematics Science, Tianjin Normal University, Tianjin 300387, P. R. China
| | - Liqun Zhou
- School of Mathematics Science, Tianjin Normal University, Tianjin 300387, P. R. China
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