Consensus Conditions for a Class of Fractional-Order Nonlinear Multiagent Systems with Constant and Time-Varying Time Delays
The consensus problem for a class of fractional-order nonlinear multiagent systems with a distributed protocol containing input time delay is investigated in this paper. Consider both cases of constant time delay and time-varying delay, the delay-independent consensus conditions are obtained to achi...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/7859105 |
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| _version_ | 1850106463206244352 |
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| author | Xiaorong Zhang Min Shi |
| author_facet | Xiaorong Zhang Min Shi |
| author_sort | Xiaorong Zhang |
| collection | DOAJ |
| description | The consensus problem for a class of fractional-order nonlinear multiagent systems with a distributed protocol containing input time delay is investigated in this paper. Consider both cases of constant time delay and time-varying delay, the delay-independent consensus conditions are obtained to achieve the consensus of the systems, respectively, by adopting the linear matrix inequality (LMI) methods and stability theory of fractional-order systems. As illustrated by the numerical examples, the proposed theoretical results work well and accurately. |
| format | Article |
| id | doaj-art-2c47b16729b24bb08fe38ec8bf6980d7 |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-2c47b16729b24bb08fe38ec8bf6980d72025-08-20T02:38:49ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/7859105Consensus Conditions for a Class of Fractional-Order Nonlinear Multiagent Systems with Constant and Time-Varying Time DelaysXiaorong Zhang0Min Shi1School of Economics and ManagementCollege of AutomationThe consensus problem for a class of fractional-order nonlinear multiagent systems with a distributed protocol containing input time delay is investigated in this paper. Consider both cases of constant time delay and time-varying delay, the delay-independent consensus conditions are obtained to achieve the consensus of the systems, respectively, by adopting the linear matrix inequality (LMI) methods and stability theory of fractional-order systems. As illustrated by the numerical examples, the proposed theoretical results work well and accurately.http://dx.doi.org/10.1155/2021/7859105 |
| spellingShingle | Xiaorong Zhang Min Shi Consensus Conditions for a Class of Fractional-Order Nonlinear Multiagent Systems with Constant and Time-Varying Time Delays Journal of Mathematics |
| title | Consensus Conditions for a Class of Fractional-Order Nonlinear Multiagent Systems with Constant and Time-Varying Time Delays |
| title_full | Consensus Conditions for a Class of Fractional-Order Nonlinear Multiagent Systems with Constant and Time-Varying Time Delays |
| title_fullStr | Consensus Conditions for a Class of Fractional-Order Nonlinear Multiagent Systems with Constant and Time-Varying Time Delays |
| title_full_unstemmed | Consensus Conditions for a Class of Fractional-Order Nonlinear Multiagent Systems with Constant and Time-Varying Time Delays |
| title_short | Consensus Conditions for a Class of Fractional-Order Nonlinear Multiagent Systems with Constant and Time-Varying Time Delays |
| title_sort | consensus conditions for a class of fractional order nonlinear multiagent systems with constant and time varying time delays |
| url | http://dx.doi.org/10.1155/2021/7859105 |
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