SATURATED AND ASYMMETRIC SATURATED IMPULSIVE CONTROL SYNCHRONIZATION OF COUPLED DELAYED INERTIAL NEURAL NETWORKS WITH TIME-VARYING DELAYS
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Date
2023
Authors
Udhayakumar, K.
Shanmugasundaram, S.
Kashkynbayev, Ardak
Janani, K.
Rakkiyappan, R.
Journal Title
Journal ISSN
Volume Title
Publisher
Applied Mathematical Modelling
Abstract
This paper considers control systems with impulses that are saturated and asymmetrically saturated which are used to examine the synchronization of inertial neural networks (INNs) with time-varying delay and coupling delays. Under the theoretical discussions, mixed delays, such as transmission delay and coupling delay are presented for inertial neural networks. The addressed INNs are transformed into first order differential equations utilizing variable transformation on INNs and then certain adequate conditions are derived for the exponential synchronization of the addressed model by substituting saturation nonlinearity with a dead-zone function. In addition, an asymmetric saturated impulsive control approach is given to realize the exponential synchronization of addressed INNs in the leader-following synchronization pattern. Finally, simulation results are used to validate the theoretical research findings.
Description
Keywords
Type of access: Open Access, Inertial neural networks, Synchronization, Saturation, Impulsive control, Time-varying delay, Coupling delay
Citation
Udhayakumar, K., Shanmugasundaram, S., Kashkynbayev, A., Janani, K., & Rakkiyappan, R. (2023b). Saturated and asymmetric saturated impulsive control synchronization of coupled delayed inertial neural networks with time-varying delays. Applied Mathematical Modelling, 113, 528–544. https://doi.org/10.1016/j.apm.2022.09.011