Affiliation:
1. School of Statistics and Mathematics Shandong University of Finance and Economics Jinan 250014 China
2. CHP‐LCOCS School of Mathematical and Statistics, Hunan Normal University Changsha 410081 China
Abstract
SummaryThe finite‐time input‐to‐state stability () of stochastic impulsive time‐varying nonlinear systems is investigated in this paper. Different from the previous works concerning , we allow the coefficients of the estimated upper bound for the diffusion operator of a Lyapunov function to be time‐varying. Moreover, a relaxed relation between the impulsive frequency is provided. Leveraging the Lyapunov method along with Lambert function and average impulsive interval () method, the input‐to‐state () property is obtained within finite time. Furthermore, two examples are provided to verify the validity of the conclusion.
Funder
National Natural Science Foundation of China
Subject
Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Mechanical Engineering,Aerospace Engineering,Biomedical Engineering,General Chemical Engineering,Control and Systems Engineering