Affiliation:
1. School of Statistics and Mathematics Shandong University of Finance and Economics Jinan China
2. CHP‐LCOCS, School of Mathematical and Statistics Hunan Normal University Changsha China
3. Institute of Automation Qufu Normal University Rizhao China
Abstract
AbstractThis article investigates the finite‐time input/output‐to‐state stability (FTIOSS) of stochastic switched nonlinear delay systems (SSNDS). This article extends the well‐known concepts of input/output‐to‐state stability to finite‐time control problems. By using the finite‐time stable function and generalized function, we establish an unified FTIOSS criteron for stochastic switched systems, where both stable and unstable switching signals are considered. Compare with the existing works, the main advantage is that the constructed Lyapunov function (LF) is permitted to own indefinite‐derivative. Meanwhile, the Razumikhin technique and the mode‐dependent average‐dwell time (MDADT) approach are introduced to guarantee the FTIOSS of the system. The efficacy of the obtained results is demonstrated by an example.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Hunan Province
Subject
Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Mechanical Engineering,Aerospace Engineering,Biomedical Engineering,General Chemical Engineering,Control and Systems Engineering