Stochastic Stability Analysis for Markovian Jump Neutral Nonlinear Systems

• Main Authors: Bo Wang, Peng Shi, Hamid Reza Karimi, Xiucheng Dong
• Format: Article
• Language: English
• Published: Norwegian Society of Automatic Control 2012-10-01
• Series: Modeling, Identification and Control
• Subjects: Stochastic stability; Markovian jump system; nonlinear system
• Online Access: http://www.mic-journal.no/PDF/2012/MIC-2012-4-2.pdf
• ISSN: 0332-7353; 1890-1328

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.