安庆师范大学学报（自然科学版）2026，Vol.32Issue(1)：22-28,7.DOI:10.13757/j.cnki.cn34-1328/n.2026.01.004
Semi-Markov跳变时滞系统的异步输入-状态滤波
Asynchronous Input-to-State Filtering of Semi-Markov Jump Systems with Time Delays
摘要
Abstract
In this paper,the asynchronous input-to-state filtering problem of semi-Markov jump linear systems with both time delay and external disturbance is investigated.First,a time delay term is introduced into the original linear system model,and the system is modeled using a semi-Markovian jump process,making the model more general.Next,based on Lyapunov stability theory,by constructing a Lyapunov functional dependent on both time delay and mode,sufficient conditions are de-rived for the mean square input-to-state stability of the filtering error system.Then,with the help of decoupling technique,an asynchronous filter design method is proposed.Finally,the validity of the designed asynchronous filter is verified by a numeri-cal example.The results show that the designed asynchronous filter can not only guarantee the mean square input-to-state sta-bility of the filtering error system under any bounded disturbance,but also ensures its mean square exponential stability in the absence of external disturbance.关键词
时滞线性系统/输入-状态稳定性/异步滤波/semi-Markov模型/均方指数稳定Key words
time-delay linear systems/input-to-state stability/asynchronous filtering/semi-Markov model/mean-square exponential stability分类
信息技术与安全科学引用本文复制引用
章枝,周恺,赵舵舵,汪珺..Semi-Markov跳变时滞系统的异步输入-状态滤波[J].安庆师范大学学报（自然科学版）,2026,32(1):22-28,7.基金项目
国家自然科学基金项目(12361034),安徽省高校优秀青年教师培育项目(YQYB2023059)和池州学院自然科学研究一般项目(CZ2023ZR01) （12361034）
