Consensus of a Two-Agent System with Nonlinear Dynamics and Time-Varying Delay
To explore the impacts of time delay on nonlinear dynamics of consensus models, we incorporate time-varying delay into a two-agent system to study its long-time behaviors. By the classical 3/2 stability theory, we establish a sufficient condition for the system to experience unconditional consensus....
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| Veröffentlicht in: | Applications of Mathematics 2021-06, Vol.66 (3), p.397-411 |
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| container_title | Applications of Mathematics |
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| creator | Cheng, Ye Shi, Bao Ding, Liangliang |
| description | To explore the impacts of time delay on nonlinear dynamics of consensus models, we incorporate time-varying delay into a two-agent system to study its long-time behaviors. By the classical 3/2 stability theory, we establish a sufficient condition for the system to experience unconditional consensus. Numerical examples show the effectiveness of the proposed protocols and present possible Hopf bifurcations when the time delay changes. |
| doi_str_mv | 10.21136/AM.2021.0341-19 |
| format | Article |
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| ispartof | Applications of Mathematics, 2021-06, Vol.66 (3), p.397-411 |
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| language | eng |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; SpringerLink Journals - AutoHoldings |
| subjects | Analysis Applications of Mathematics Classical and Continuum Physics Dynamical systems Hopf bifurcation Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Nonlinear dynamics Optimization Theoretical Time lag |
| title | Consensus of a Two-Agent System with Nonlinear Dynamics and Time-Varying Delay |
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