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Exponential synchronization of a complex dynamical network with piecewise-homogeneous Markovian jump structure and coupling delay
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Akbari, Nasim, Sadr, Ali, Kazemy, Ali and Faraji Niri, Mona (2020) Exponential synchronization of a complex dynamical network with piecewise-homogeneous Markovian jump structure and coupling delay. In: 6th International Conference on Control, Instrumentation and Automation (ICCIA), Sanandaj, Iran, 30-31 Oct 2019. Published in: 2019 6th International Conference on Control, Instrumentation and Automation (ICCIA) pp. 1-6. ISBN 9781728158150. doi:10.1109/ICCIA49288.2019.9030996
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WRAP-Exponential-synchronization-dynamical-network-piecewise-homogeneous-Markovian-2021.pdf - Accepted Version - Requires a PDF viewer. Download (566Kb) | Preview |
Official URL: https://doi.org/10.1109/ICCIA49288.2019.9030996
Abstract
In this paper, exponential synchronization problem is studied for a complex dynamical network (CDN) with a class of Markovian jump structure with coupling-time delay. The CDN under consideration has a piecewise-Markovian jump structure with piecewise-constant transition rates (TRs). First piecewise-homogeneous Markovian process is modeled by two Markov chains then, the synchronization problem of the CDN is inspected by constructing Lyapunov-Krasovskii function with Markov dependent matrices. Ultimately, the controller gain matrices for guaranteeing the synchronization problem in terms of linear matrix inequalities (LMIs) are derived. A CDN with a Chua circuit dynamic for each node is given as a numerical example to show the effectiveness of the theoretical results.
| Item Type: | Conference Item (Paper) | ||||||
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| Subjects: | Q Science > QA Mathematics Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software T Technology > TJ Mechanical engineering and machinery T Technology > TK Electrical engineering. Electronics Nuclear engineering |
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| Divisions: | Faculty of Science > WMG (Formerly the Warwick Manufacturing Group) | ||||||
| Library of Congress Subject Headings (LCSH): | Nonlinear systems, System analysis, Differentiable dynamical systems, Synchronization, Time delay systems, Jump processes, Computer Networks | ||||||
| Journal or Publication Title: | 2019 6th International Conference on Control, Instrumentation and Automation (ICCIA) | ||||||
| Publisher: | IEEE | ||||||
| ISBN: | 9781728158150 | ||||||
| Official Date: | 12 March 2020 | ||||||
| Dates: |
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| Page Range: | pp. 1-6 | ||||||
| DOI: | 10.1109/ICCIA49288.2019.9030996 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Publisher Statement: | © 2020 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Conference Paper Type: | Paper | ||||||
| Title of Event: | 6th International Conference on Control, Instrumentation and Automation (ICCIA) | ||||||
| Type of Event: | Conference | ||||||
| Location of Event: | Sanandaj, Iran | ||||||
| Date(s) of Event: | 30-31 Oct 2019 |
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