Saturated and asymmetric saturated impulsive control synchronization of coupled delayed inertial neural networks with time-varying delays
Udhayakumar K. Shanmugasundaram S. Kashkynbayev A. Janani K. Rakkiyappan R.
January 2023Elsevier Inc.
Applied Mathematical Modelling
2023#113528 - 544 pp.
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.
Coupling delay , Impulsive control , Inertial neural networks , Saturation , Synchronization , Time-varying delay
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Department of Mathematical Sciences, College of Science, UAE University, Al-Ain, United Arab Emirates
Department of Mathematics, Bharathiar University, Tamilnadu, Coimbatore, 641 046, India
Department of Mathematics, Nazarbayev University, Nur-Sultan city, Kazakhstan
Department of Mathematical Sciences
Department of Mathematics
Department of Mathematics
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