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Dr. T. Senthilkumar

Assistant Professor, Dept. of Mathematics, School of Physical Sciences, Kochi

Qualification: MPhil, MSc, Ph.D
tsenthilkumar@kh.amrita.edu
Research Interest: Nonlinear Dynamical Systems with Time Delay, Impulsive Control, Stability Theory, Synchronization Control, Neural/ Complex Networks

Bio

Dr. T. Senthilkumar, received Ph.D. degree in mathematics from Amrita Vishwa Vidyapeetham, deemed to be university, India, in 2020. Since 2020, he is serving as an assistant professor at the Department of Mathematics, Amrita School of Physical Sciences, Amrita Vishwa Vidyapeetham, Kochi. His research interests includes nonlinear dynamical systems with time delay, impulsive control, stability theory, synchronization control, neural/complex networks.

Qualifications – Ph. D. , M. Phil, M. Sc.

Publications

Journal Article

Year : 2024

Synchronization results for uncertain complex-valued neural networks under delay-dependent flexible impulsive control

Cite this Research Publication : K. Pooja Lakshmi and Senthilkumar, T., "Synchronization results for uncertain complex-valued neural networks under delay-dependent flexible impulsive control,"  Chaos, Solitons & Fractals, 178, 114338. (2024)

Publisher : Chaos, Solitons & Fractals

Year : 2023

Robust exponential synchronization results for uncertain infinite time-varying distributed delayed neural networks with flexible delayed impulsive control

Cite this Research Publication : Pooja Lakshmi and T.Senthilkumar, "Robust exponential synchronization results for uncertain infinite time-varying distributed delayed neural networks with flexible delayed impulsive control," Mathematics and Computers in Simulation, 2023, 209:267-281.

Publisher : Mathematics and Computers in Simulation

Year : 2023

Stability analysis for singular random impulsive control system: A novel neutral impulsive delay system approach

Cite this Research Publication : T. Senthilkumar, A. Vinodkumar, "Stability analysis for singular random impulsive control system: A novel neutral impulsive delay system approach," Mathematical Methods in the Applied Sciences, 2023, 46 (13): 14200-14213.

Publisher : Mathematical Methods in the Applied Sciences

Year : 2023

An exponential stabilization of random impulsive control systems and its application to chaotic systems

Cite this Research Publication : A. Vinodkumar, T. Senthilkumar, Hüseyin Işık, S. Hariharan, Nallappan Gunasekaran. "An exponential stabilization of random impulsive control systems and its application to chaotic systems," Mathematical Methods in the Applied Sciences, 2023, 46 (3): 3237-3254.

Publisher : Mathematical Methods in the Applied Sciences

Year : 2023

Stability results on random impulsive control for uncertain neutral delay differential systems

Cite this Research Publication : T. Senthilkumar, A.Vinodkumar, and M.Gowrisankar, "Stability results on random impulsive control for uncertain neutral delay differential systems," International Journal of Control, 2023, 96 (10): 2425-2437.

Publisher : International Journal of Control

Year : 2021

Exponential stability of random impulsive pantograph equations

Cite this Research Publication : A. Vinodkumar, T. Senthilkumar, Zhongmin Liu, Xiaodi Li, "Exponential stability of random impulsive pantograph equations". Mathematical Methods in the Applied Sciences, 2021, 44 (8): 6700-6715.

Publisher : Mathematical Methods in the Applied Sciences

Year : 2021

Exponential stabilization of fixed and random time impulsive delay differential system with applications

Cite this Research Publication : A. Vinodkumar, T. Senthilkumar, S. Hariharan, J. Alzabut, "Exponential stabilization of fixed and random time impulsive delay differential system with applications," Mathematical Biosciences and Engineering, 2021, 18 (3): 2384-2400.

Publisher : Mathematical Biosciences and Engineering

Year : 2019

Exponential stability results on random and fixed time impulsive differential systems with infinite delay

Cite this Research Publication : Xiaodi Li, A. Vinodkumar, and T. Senthilkumar, "Exponential stability results on random and fixed time impulsive differential systems with infinite delay," Mathematics, 2019, 7 (9): 843.  

Publisher : Mathematics

Year : 2018

Robust exponential stability results for uncertain infinite delay differential systems with random impulsive moments

Cite this Research Publication : A. Vinodkumar, T. Senthilkumar, and Xiaodi Li, "Robust exponential stability results for uncertain infinite delay differential systems with random impulsive moments," Advances in Difference Equations, 2018, 2018 (1): 39.

Publisher : Advances in Difference Equations

Honors and Awards
  1. Amrita Innovation and Research Award, 2024.
  2. Research Fellow in Science and Engineering Research Board (DST-SERB), at Amrita Vishwa Vidyapeetham, Coimbatore, India.
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