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