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Publication Type : Journal Article
Publisher : Mathematical Methods in the Applied Sciences
Source : Mathematical Methods in the Applied Sciences, 2023, 46 (3): 3237-3254.
Url : https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.8688
Campus : Kochi
School : School of Physical Sciences
Department : Mathematics
Year : 2023
Abstract : This paper addresses the problem of pth moment exponential stability and stabilization for random impulsive control systems. Some novel pth moment exponential stability and synchronization approaches are established based on the method of maximum and minimum eigenvalues by using the Lyapunov functions and Razumukhin technique. Finally, we show that the stability and synchronization behavior of random impulses are faster than the fixed time impulses. Some physical examples are given to verify the validity and usefulness of the results obtained.
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.