“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 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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  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},
  publisher={Norwegian Society of Automatic Control}