Finite-Time Annular Domain Stability and Stabilization of Stochastic Systems With Semi-Markovian Switching

• 成果类型: Article
• 署名作者: Yan, Zhiguo; Zhou, Xiaomin; Chang, Gaizhen; Gao, Zhiwei
• 署名单位: Qilu University of Technology; Qilu University of Technology; Northumbria University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3228202
• 发表日期: 2023
• 页码: 6247-6254
• 关键词: Finite-time annular domain stability (FTADS); Stochastic systems; semi-Markovian switching; Gronwall inequal-ity

摘要

In this article, finite-time annular domain stability and stabilization of It & ocirc; stochastic systems with semi-Markovian switching are investigated, where the switching frequency is time varying, and satisfies a unfixed polytope. A new inequality called reverse differential Gronwall inequality is proposed to address less conservative sufficient conditions for testing the finite-time annular domain stability, and its superiority to modified Gronwall inequality is analyzed. Moreover, sufficient conditions for the existence of state feedback and observer-based finite-time annular domain stabilizing controllers are obtained. In the sequel, a L xN mode algorithm is presented for bridging the relationship between the adjustable parameters and the range of transition rates. Finally, an example is provided to illustrate the effectiveness of the proposed methods.