Browsing by Author "Ramachandran, Raja"

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Citation - WoS: 6
Citation - Scopus: 6
Delay-Coupled Fractional Order Complex Cohen-Grossberg Neural Networks Under Parameter Uncertainty: Synchronization Stability Criteria
(Amer inst Mathematical Sciences-aims, 2021) Hincal, Evren; Ramachandran, Raja; Baleanu, Dumitru; Cao, Jinde; Huang, Chuangxia; Niezabitowski, Michal; Anbalagan, Pratap
This paper inspects the issues of synchronization stability and robust synchronization stability for fractional order coupled complex interconnected Cohen-Grossberg neural networks under linear coupling delays. For investigation of synchronization stability results, the comparison theorem for multiple delayed fractional order linear system is derived at first. Then, by means of given fractional comparison principle, some inequality methods, Kronecker product technique and classical Lyapunov-functional, several asymptotical synchronization stability criteria are addressed in the voice of linear matrix inequality (LMI) for the proposed model. Moreover, when parameter uncertainty exists, we also the investigate on the robust synchronization stability criteria for complex structure on linear coupling delayed Cohen-Grossberg type neural networks. At last, the validity of the proposed analytical results are performed by two computer simulations.
Citation - WoS: 15
Citation - Scopus: 16
Computational Dynamics of a Fractional Order Substance Addictions Transfer Model With Atangana-Baleanu Derivative
(Wiley, 2023) Baleanu, Dumitru; Panigoro, Hasan S.; Alzabut, Jehad; Balas, Valentina E.; Jose, Sayooj Aby; Ramachandran, Raja
In this paper, the ABC fractional derivative is used to provide a mathematical model for the dynamic systems of substance addiction. The basic reproduction number is investigated, as well as the equilibrium points' stability. Using fixed point theory and nonlinear analytic techniques, we verify the theoretical results of solution existence and uniqueness for the proposed model. A numerical technique for getting the approximate solution of the suggested model is established by using the Adams type predictor-corrector rule for the ABC-fractional integral operator. There are several numerical graphs that correspond to different fractional orders. Furthermore, we present a numerical simulation for the transmission of substance addiction in two scenarios with fundamental reproduction numbers greater than and fewer than one.
Citation - WoS: 23
Citation - Scopus: 22
A Razumikhin Approach To Stability and Synchronization Criteria for Fractional Order Time Delayed Gene Regulatory Networks
(Amer inst Mathematical Sciences-aims, 2021) Hincal, Evren; Ramachandran, Raja; Baleanu, Dumitru; Cao, Jinde; Niezabitowski, Michal; Anbalagan, Pratap
This manuscript is concerned with the stability and synchronization for fractional-order delayed gene regulatory networks (FODGRNs) via Razumikhin approach. First of all, the existence of FODGRNs are established by using homeomorphism theory, 2-norm based on the algebraic method and Cauchy Schwartz inequality. The uniqueness of this work among the existing stability results are, the global Mittag-Letter stability of FODGRNs is explored based on the fractional-order Lyapunov Razumikhin approach. In the meanwhile, two different controllers such as linear feedback and adaptive feedback control, are designed respectively. With the assistance of fractional Razumikhin theorem and our designed controllers, we have established the global Mittag-Letter synchronization and adaptive synchronization for addressing master-slave systems. Finally, three numerical cases are given to justify the applicability of our stability and synchronization results.
Citation - WoS: 7
Citation - Scopus: 7
An Asymptotic State Estimator Design and Synchronization Criteria for Fractional Order Time-Delayed Genetic Regulatory Networks
(Wiley, 2022) Anbalagan, Pratap; Hincal, Evren; Ramachandran, Raja; Baleanu, Dumitru; Cao, Jinde; Niezabitowski, Michal
This paper mainly investigates the asymptotic state estimator design and impulsive controlled synchronization for fractional-order time-delayed genetic regulatory networks (FOTDGRNs). Different from the existing state estimator results, the asymptotic state estimator design of FOTDGRNs is studied by using a novel algebraic method, fractional-order Lyapunov-Razumikhin method, and some famous inequality techniques. Afterward, a suitable impulsive controller is designed for the global asymptotic synchronization criteria for addressing master-slave systems. At last, the paper comes up with two numerical cases to justify the applicability of our theoretical outcomes.