Stipanović, Dušan M.; Shankaran, Sriram; Tomlin, Claire J.

Multi-agent avoidance control using an $M$-matrix property

Electron. J. Linear Algebra 12, 64-72, electronic only (2004/2005)

Summary

Summary: In this paper a generalization of avoidance control for multi-agent dynamic systems is presented. Strategies for avoidance control for multiple agents are obtained using individual Liapunov-type functions. The overall system avoidance conditions are guaranteed using a vector Liapunov-type function via an M-matrix property.

Mathematics Subject Classification

15A99, 93C41, 93B52, 34H05, 49N30, 49N90

Keywords/Phrases

avoidance control, M-matrices, multi-agent systems

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