On Exponential Stability for a Class of Uncertain Neutral Markovian Jump Systems with Mode-Dependent Delays
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-01
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
The exponential stability of neutral Markovian jump systems with interval mode-dependent time-varying delays, nonlinear perturbations, and partially known transition rates is investigated.
A novel augmented stochastic Lyapunov functional is constructed, which employs the improved bounding technique and contains triple-integral terms to reduce conservativeness; then the delay-range-dependent and rate-dependent exponential stability criteria are developed by Lyapunov stability theory, reciprocally convex lemma, and free-weighting matrices.
The corresponding results are extended to the uncertain case.
Finally, numerical examples are given to illustrate the effectiveness of the proposed methods.
American Psychological Association (APA)
Liu, Xinghua& Xi, Hong-sheng. 2013. On Exponential Stability for a Class of Uncertain Neutral Markovian Jump Systems with Mode-Dependent Delays. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-23.
https://search.emarefa.net/detail/BIM-490941
Modern Language Association (MLA)
Liu, Xinghua& Xi, Hong-sheng. On Exponential Stability for a Class of Uncertain Neutral Markovian Jump Systems with Mode-Dependent Delays. Abstract and Applied Analysis No. 2013 (2013), pp.1-23.
https://search.emarefa.net/detail/BIM-490941
American Medical Association (AMA)
Liu, Xinghua& Xi, Hong-sheng. On Exponential Stability for a Class of Uncertain Neutral Markovian Jump Systems with Mode-Dependent Delays. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-23.
https://search.emarefa.net/detail/BIM-490941
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490941