6533b81ffe1ef96bd12770d2
RESEARCH PRODUCT
Stochastic Stability Analysis for Markovian Jump Neutral Nonlinear Systems
Peng ShiXiucheng DongHamid Reza KarimiBo Wangsubject
Class (set theory)Engineeringbusiness.industryStability criterionStochastic stability; Markovian jump systemFunction (mathematics)nonlinear systemStability (probability)lcsh:QA75.5-76.95Computer Science ApplicationsNonlinear systemMarkovian jumpExponential stabilityControl and Systems EngineeringControl theoryModeling and SimulationBounded functionApplied mathematicslcsh:Electronic computers. Computer sciencebusinessSoftwaredescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-10-01 | Modeling, Identification and Control |