Constraint impulsive consensus of nonlinear multi-agent systems with impulsive time windows
In this paper, the constraint impulsive consensus problem of nonlinear multi-agent systems in directed network is discussed. Impulsive time windows are designed for solving consensus problem of multi-agent systems. Different from the traditional impulsive protocol with fixed impulsive intervals, the...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-05-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/10.3934/math.2020238/fulltext.html |
| _version_ | 1818610369236566016 |
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| author | Qiangqiang Zhang Yiyan Han Chuandong Li Le You |
| author_facet | Qiangqiang Zhang Yiyan Han Chuandong Li Le You |
| author_sort | Qiangqiang Zhang |
| collection | DOAJ |
| description | In this paper, the constraint impulsive consensus problem of nonlinear multi-agent systems in directed network is discussed. Impulsive time windows are designed for solving consensus problem of multi-agent systems. Different from the traditional impulsive protocol with fixed impulsive intervals, the impulsive protocol with impulsive time windows, where the impulsive instants can be changed randomly, is more effective and flexible. In addition, saturation impulse is also considered to restrict the jumping value of impulse beyond the threshold. Based on algebraic graph theory, matrix theory, and convex combination analysis, some novel conditions of impulsive consensus have been proposed. Our main results indicate that constraint impulsive consensus of the multi-agent systems via impulsive time windows can be achieved if the nonlinear systems satisfy suitable conditions. Numerical simulations are presented to validate the effectiveness of theoretical results. |
| first_indexed | 2024-12-16T15:13:20Z |
| format | Article |
| id | doaj.art-8b0b668534bb4362b7af6155b2a89431 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-16T15:13:20Z |
| publishDate | 2020-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-8b0b668534bb4362b7af6155b2a894312022-12-21T22:26:53ZengAIMS PressAIMS Mathematics2473-69882020-05-01543682370110.3934/math.2020238Constraint impulsive consensus of nonlinear multi-agent systems with impulsive time windowsQiangqiang Zhang0Yiyan Han1Chuandong Li2Le You31 Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing 400715, PR China2 School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, and Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan 430074, China1 Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing 400715, PR China1 Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing 400715, PR ChinaIn this paper, the constraint impulsive consensus problem of nonlinear multi-agent systems in directed network is discussed. Impulsive time windows are designed for solving consensus problem of multi-agent systems. Different from the traditional impulsive protocol with fixed impulsive intervals, the impulsive protocol with impulsive time windows, where the impulsive instants can be changed randomly, is more effective and flexible. In addition, saturation impulse is also considered to restrict the jumping value of impulse beyond the threshold. Based on algebraic graph theory, matrix theory, and convex combination analysis, some novel conditions of impulsive consensus have been proposed. Our main results indicate that constraint impulsive consensus of the multi-agent systems via impulsive time windows can be achieved if the nonlinear systems satisfy suitable conditions. Numerical simulations are presented to validate the effectiveness of theoretical results.https://www.aimspress.com/article/10.3934/math.2020238/fulltext.htmlconstraint impulsive consensusnonlinear multi-agent systemssaturation impulsedirected networkimpulsive time windows |
| spellingShingle | Qiangqiang Zhang Yiyan Han Chuandong Li Le You Constraint impulsive consensus of nonlinear multi-agent systems with impulsive time windows AIMS Mathematics constraint impulsive consensus nonlinear multi-agent systems saturation impulse directed network impulsive time windows |
| title | Constraint impulsive consensus of nonlinear multi-agent systems with impulsive time windows |
| title_full | Constraint impulsive consensus of nonlinear multi-agent systems with impulsive time windows |
| title_fullStr | Constraint impulsive consensus of nonlinear multi-agent systems with impulsive time windows |
| title_full_unstemmed | Constraint impulsive consensus of nonlinear multi-agent systems with impulsive time windows |
| title_short | Constraint impulsive consensus of nonlinear multi-agent systems with impulsive time windows |
| title_sort | constraint impulsive consensus of nonlinear multi agent systems with impulsive time windows |
| topic | constraint impulsive consensus nonlinear multi-agent systems saturation impulse directed network impulsive time windows |
| url | https://www.aimspress.com/article/10.3934/math.2020238/fulltext.html |
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