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η(t)-consensus of multi-agent systems with directed graphs via event-triggered principles.
- Source :
-
Neurocomputing . Apr2019, Vol. 339, p1-9. 9p. - Publication Year :
- 2019
-
Abstract
- Abstract In this paper, we investigate η (t)-consensus problem of the multi-agent system with directed graph via event-triggered principles. The η (t)-consensus is defined as the difference between agents' states less than a certain preassigned time-dependent bound function η (t). This concept can be regarded as a generalization of the existing concepts such as quasi-consensus/synchronization, where the state differences are requested below a certain constant bound, and exponential synchronization, where the state differences converge to zero exponentially, and more generally, μ -consensus, where the state differences converge to zero with diverse convergence ratios and patterns. The event-triggering principles are asynchronous for each agent and rely on the bound function η (t), as well as its derivative, the agent's own state information and some algebraic information of the network, to determine the next trigger time. We prove that with a loose assumption of the bound function, if the graph is strongly connected graph or generally possesses a spanning tree, then the proposed principles realize η (t)-consensus of the multi-agent system, and moreover, the Zeno behavior is excluded. We give several numerical examples to illustrate the effectiveness of the theoretical results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MULTIAGENT systems
*DIRECTED graphs
Subjects
Details
- Language :
- English
- ISSN :
- 09252312
- Volume :
- 339
- Database :
- Academic Search Index
- Journal :
- Neurocomputing
- Publication Type :
- Academic Journal
- Accession number :
- 135351469
- Full Text :
- https://doi.org/10.1016/j.neucom.2019.01.061