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• W4385653946 abstract "In this manuscript, the Periodicity of Inertial Neural Networks (INNs) with the background of a memristor and mixed time delays is elucidated. We impact the notion of a memristor into the inertial neural networks which ride us towards an enormous network, Memristive Inertial Neural Networks (MINNs). With reference to the consequence of the physical phenomenon of the memristor system, the differential inclusion theory is employed for the switching behaviour. The dynamic analysis in this manuscript has the differential system with switching memristive connection weights which leads to discontinuity and so employs the solution in Filippov sense. Implementation of the definition of Benchora et al. [7] of a second order system, the MINNs system is qualified well to solve further with differential inclusion theory. Implementing the variable transformation to MINNs, the system is transformed into the conventional system. Furthermore, the concept of M-matrix and differential inequality of Euclidean space are directed towards the transformed system to derive the T-periodic criteria, namely the Mawhin-like coincidence theorem for MINNs with mixed delays. At last, convincingly the numerical computation is carried out for the validation of the result." @default.
• W4385653946 created "2023-08-09" @default.
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• W4385653946 date "2023-01-01" @default.
• W4385653946 modified "2023-10-16" @default.
• W4385653946 title "Results on Periodicity of Memristive Inertial Neural Networks with Mixed Delays" @default.
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• W4385653946 doi "https://doi.org/10.1007/978-981-99-3432-4_6" @default.
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