Mean Square Exponential Stability Analysis for Ito Stochastic Systems With Aperiodic Sampling and Multiple Time-Delays

• 成果类型: Article
• 署名作者: Chen, Guoliang; Fan, Chenchen; Sun, Jian; Xia, Jianwei
• 署名单位: Liaocheng University; Beijing Institute of Technology; University of Hong Kong; Beijing Institute of Technology; Beijing Institute of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3074848
• 发表日期: 2022
• 页码: 2473-2480
• 关键词: Indium tin oxide; Stochastic systems; Stability criteria; Numerical stability; control theory; Symmetric matrices; Sampled data systems; Aperiodic sampling; Ito stochastic system; looped-functional; mean square exponential stability; time-delay

摘要

In this article, for Ito stochastic systems with aperiodic sampling and multiple time-delays, we provide two different types of mean square exponential stability analysis methods. One method is based on the Razumikhin-type theorems method, based on this method, the mean square exponential stability criteria of the system are proposed. Meanwhile, mean square exponential practical stability criteria are also proposed. In addition, through these theorems, the constraint of positivity on the Lyapunov function for all times can be relaxed to sampling times for Ito stochastic systems with aperiodic sampling and multiple time-delays is proved. Another method is based on the looped-functionals method. Two looped-functionals are introduced to analyze the stability of Ito stochastic systems with aperiodic sampling and multiple time-delays. One functional is one-sided, while the other functional is two-sided. Based on these two functionals and the Ito formula, two mean square exponential stability criteria are presented in the form of linear matrix inequalities. Numerical examples are used to illustrate that the proposed approach is less conservative than other methods.