The No-Ellipsoidal Bound of Reachable Sets for Neutral Markovian Jump Systems with Disturbances

• 作者: Changchun Shen Hongyong Deng Shouwei Zhou
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: Reachable Set No-Ellipsoidal BOUND LINEAR NEUTRAL System LYAPUNOV-KRASOVSKII LINEAR Matrix INEQUALITIES
• 年，卷（期）: 2020,（5）
• 页码范围: 799-813
• 页数: 15页
• 分类号: O17

摘要

This paper is concerned with the reachable set estimation problem for neutral Markovian jump systems with bounded peak disturbances, which was rarely proposed for neutral Markovian jump systems. The main consideration is to find a proper method to obtain the no-ellipsoidal bound of the reachable set for neutral Markovian jump system as small as possible. By applying Lyapunov functional method, some derived conditions are obtained in the form of matrix inequalities. Finally, numerical examples are presented to demonstrate the effectiveness of the theoretical results.