Dissipativity-Based Synchronization of Mode-Dependent Complex Dynamical Networks with Semi-Markov Jump Topology

This paper considers the synchronization control for mode-dependent complex dynamical networks (CDNs) based on dissipativity theory. Particularly, the network topologies of the CDNs are governed by the semi-Markov process. By applying the Lyapunov-Krasovskii method, mode-dependent sufficient synchro...

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Main Authors: Chao Ma, Wei Wu, Yidao Ji
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/2348705
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author Chao Ma
Wei Wu
Yidao Ji
author_facet Chao Ma
Wei Wu
Yidao Ji
author_sort Chao Ma
collection DOAJ
description This paper considers the synchronization control for mode-dependent complex dynamical networks (CDNs) based on dissipativity theory. Particularly, the network topologies of the CDNs are governed by the semi-Markov process. By applying the Lyapunov-Krasovskii method, mode-dependent sufficient synchronization criteria are established while satisfying the desired dissipativity performance. On the basis of matrix transformation, the synchronization controllers are further designed. The effectiveness of our obtained results is illustrated with simulation results.
format Article
id doaj-art-7ed45a7e5ded447b812a32ac4052f737
institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-7ed45a7e5ded447b812a32ac4052f7372025-02-03T01:20:37ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/23487052348705Dissipativity-Based Synchronization of Mode-Dependent Complex Dynamical Networks with Semi-Markov Jump TopologyChao Ma0Wei Wu1Yidao Ji2School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, ChinaState Key Lab of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing 100190, ChinaSchool of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, ChinaThis paper considers the synchronization control for mode-dependent complex dynamical networks (CDNs) based on dissipativity theory. Particularly, the network topologies of the CDNs are governed by the semi-Markov process. By applying the Lyapunov-Krasovskii method, mode-dependent sufficient synchronization criteria are established while satisfying the desired dissipativity performance. On the basis of matrix transformation, the synchronization controllers are further designed. The effectiveness of our obtained results is illustrated with simulation results.http://dx.doi.org/10.1155/2018/2348705
spellingShingle Chao Ma
Wei Wu
Yidao Ji
Dissipativity-Based Synchronization of Mode-Dependent Complex Dynamical Networks with Semi-Markov Jump Topology
Complexity
title Dissipativity-Based Synchronization of Mode-Dependent Complex Dynamical Networks with Semi-Markov Jump Topology
title_full Dissipativity-Based Synchronization of Mode-Dependent Complex Dynamical Networks with Semi-Markov Jump Topology
title_fullStr Dissipativity-Based Synchronization of Mode-Dependent Complex Dynamical Networks with Semi-Markov Jump Topology
title_full_unstemmed Dissipativity-Based Synchronization of Mode-Dependent Complex Dynamical Networks with Semi-Markov Jump Topology
title_short Dissipativity-Based Synchronization of Mode-Dependent Complex Dynamical Networks with Semi-Markov Jump Topology
title_sort dissipativity based synchronization of mode dependent complex dynamical networks with semi markov jump topology
url http://dx.doi.org/10.1155/2018/2348705
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AT weiwu dissipativitybasedsynchronizationofmodedependentcomplexdynamicalnetworkswithsemimarkovjumptopology
AT yidaoji dissipativitybasedsynchronizationofmodedependentcomplexdynamicalnetworkswithsemimarkovjumptopology