“Stochastic Stability Analysis for Markovian Jump Neutral Nonlinear Systems”
Authors: Bo Wang, Peng Shi, Hamid Reza Karimi and Xiucheng Dong,Affiliation: Xihua University, University of Adelaide and University of Agder
Reference: 2012, Vol 33, No 4, pp. 131-139.
Keywords: Stochastic stability; Markovian jump system, nonlinear system, time-varying delay
Abstract: In this paper, the stability problem is studied for a class of Markovian jump neutral nonlinear systems with time-varying delay. By Lyapunov-Krasovskii function approach, a novel mean-square exponential stability criterion is derived for the situations that the system´s transition rates are completely accessible, partially accessible and non-accessible, respectively. Moreover, the developed stability criterion is extended to the systems with different bounded sector nonlinear constraints. Finally, some numerical examples are provided to illustrate the effectiveness of the proposed methods.
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DOI: 10.4173/mic.2012.4.2DOI forward links to this article:
| [1] Fangwen Li, Peng Shi, Xingcheng Wang and Hamid Reza Karimi (2014), doi:10.4173/mic.2014.3.3 |
| [2] Yuan-Qing Wu, Hongye Su, Renquan Lu, Zheng-Guang Wu and Zhan Shu (2015), doi:10.1016/j.sysconle.2015.08.001 |
| [3] Hamid Reza Karimi, Peng Shi and Bo Wang (2013), doi:10.1109/ASCC.2013.6606288 |
| [4] Peng Shi, Hamid Reza Karimi and Bo Wang (2013), doi:10.1109/ASCC.2013.6606289 |
| [5] Pengpeng Wang, Fei Long, Lu Guo and Yi Tan (2016), doi:10.1109/ChiCC.2016.7553863 |
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BibTeX:
@article{MIC-2012-4-2,
title={{Stochastic Stability Analysis for Markovian Jump Neutral Nonlinear Systems}},
author={Wang, Bo and Shi, Peng and Karimi, Hamid Reza and Dong, Xiucheng},
journal={Modeling, Identification and Control},
volume={33},
number={4},
pages={131--139},
year={2012},
doi={10.4173/mic.2012.4.2},
publisher={Norwegian Society of Automatic Control}
};