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 JAMP  Vol.8 No.5 , May 2020
The No-Ellipsoidal Bound of Reachable Sets for Neutral Markovian Jump Systems with Disturbances
Abstract: 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.
Cite this paper: Shen, C. , Zhou, S. and Deng, H. (2020) The No-Ellipsoidal Bound of Reachable Sets for Neutral Markovian Jump Systems with Disturbances. Journal of Applied Mathematics and Physics, 8, 799-813. doi: 10.4236/jamp.2020.85062.
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