Publication Type : Journal Article
Publisher : Mathematical Methods in the Applied Sciences
Source : Mathematical Methods in the Applied Sciences, 2023, 46 (13): 14200-14213.
Url : https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.9314
Campus : Kochi
School : School of Physical Sciences
Department : Mathematics
Year : 2023
Abstract : The paper studies stability analysis for an uncertain singular time varying delay system [USTDS] under random impulsive control (RIC). It also proves the stability results for a singular impulsive time delay system in terms of neutral impulsive time delay system approach. Besides, we derive the new sufficient conditions for stability results like exponential stability (ES) and robust exponential stability (RES) of the proposed system via linear matrix inequality (LMI) by employing the Lyapunov–Krasovskii functional (LKF) approach. In addition, two numerical examples, along with graphical simulations, are provided to illustrate the validity and effectiveness of the proposed results.
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.