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Stochastic Stability Criteria for Neutral Distributed Parameter Systems with Markovian Jump
Joint Authors
Li, Yanbo
Chen, Chao-Yang
Li, Chengqun
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-11
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper deals with the problem of stochastic stability for a class of neutral distributed parameter systems with Markovian jump.
In this model, we only need to know the absolute maximum of the state transition probability on the principal diagonal line; other transition rates can be completely unknown.
Based on calculating the weak infinitesimal generator and combining Poincare inequality and Green formula, a stochastic stability criterion is given in terms of a set of linear matrix inequalities (LMIs) by the Schur complement lemma.
Because of the existence of the neutral term, we need to construct Lyapunov functionals showing more complexity to handle the cross terms involving the Laplace operator.
Finally, a numerical example is provided to support the validity of the mathematical results.
American Psychological Association (APA)
Li, Yanbo& Chen, Chao-Yang& Li, Chengqun. 2020. Stochastic Stability Criteria for Neutral Distributed Parameter Systems with Markovian Jump. Complexity،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1145586
Modern Language Association (MLA)
Li, Yanbo…[et al.]. Stochastic Stability Criteria for Neutral Distributed Parameter Systems with Markovian Jump. Complexity No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1145586
American Medical Association (AMA)
Li, Yanbo& Chen, Chao-Yang& Li, Chengqun. Stochastic Stability Criteria for Neutral Distributed Parameter Systems with Markovian Jump. Complexity. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1145586
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1145586