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Shang, Yilun

\(L^1\) group consensus of multi-agent systems with switching topologies and stochastic inputs. (English) Zbl 1317.93019

Phys. Lett., A 377, No. 25-27, 1582-1586 (2013).
Summary: Understanding how interacting subsystems of an overall system lead to cluster/group consensus is a key issue in the investigation of multi-agent systems. In this letter, we study the \(L^1\) group consensus problem of discrete-time multi-agent systems with external stochastic inputs. Based on ergodicity theory and matrix analysis, \(L^1\) group consensus criteria are obtained for multi-agent systems with switching topologies. Some numerical examples are provided to illustrate the effectiveness and feasibility of the theoretical results.

Cited in 16 Documents

MSC:

93A14 Decentralized systems
93C55 Discrete-time control/observation systems
93E03 Stochastic systems in control theory (general)

Keywords:

group consensus; multi-agent system; \(L^1\) convergence; switching topology
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