Qi, W.H., Yang, X., Gao, X.W., Cheng, J., Kao, Y.G. and Wei, Y.L. (2020) Stability for Delayed Switched Systems with Markov Jump Parameters and Generally Incomplete Transition Rates. Applied Mathematics and Computation, 365, Article ID: 124718.
https://doi.org/10.1016/j.amc.2019.124718

has been cited by the following article:

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

  AUTHORS: Changchun Shen, Shouwei Zhou, Hongyong Deng

  KEYWORDS: Reachable Set, No-Ellipsoidal Bound, Linear Neutral System, Lyapunov-Krasovskii, Linear Matrix Inequalities

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.5, May 8, 2020

  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.