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Stochastic Stability for Uncertain Neutral Markovian Jump Systems with Nonlinear Perturbations.
- Source :
- Journal of Dynamical & Control Systems; Apr2015, Vol. 21 Issue 2, p285-305, 21p
- Publication Year :
- 2015
-
Abstract
- The delay-range-dependent stochastic stability for uncertain neutral Markovian jump systems with interval time-varying delays and nonlinear perturbations is investigated. The perturbations under consideration are time-varying and norm-bounded. By delay interval dividing, a novel augmented Lyapunov functional which contains triple-integral terms to reduce the conservativeness is introduced. Based on the Lyapunov functional approach and the nature of convex combination, some improved delay-range-dependent stochastic stability criteria are obtained in terms of linear matrix inequalities without introducing any free-weighting matrices. Finally, numerical examples are given to illustrate the effectiveness of the developed techniques. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10792724
- Volume :
- 21
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Journal of Dynamical & Control Systems
- Publication Type :
- Academic Journal
- Accession number :
- 101070977
- Full Text :
- https://doi.org/10.1007/s10883-014-9265-0