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

The No-Ellipsoidal Bound of Reachable Sets for Neutral Markovian Jump Systems with Disturbances
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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. 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.
出处 《Journal of Applied Mathematics and Physics》 2020年第5期799-813,共15页 应用数学与应用物理(英文)
关键词 Reachable Set No-Ellipsoidal BOUND LINEAR NEUTRAL System LYAPUNOV-KRASOVSKII LINEAR Matrix INEQUALITIES Reachable Set No-Ellipsoidal Bound Linear Neutral System Lyapunov-Krasovskii Linear Matrix Inequalities
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