## “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.

PDF (329 Kb) DOI: 10.4173/mic.2012.4.2

**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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**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}

};