Geodesic
Multi-agent avoidance control using an $M$-matrix property
The electronic journal of linear algebra, Tome 12 (2004-2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 15A99, 93C41, 93B52, 34H05, 49N30, 49N90
Keywords: avoidance control, M-matrices, multi-agent systems 
@article{ELA_2004-2005__12__a1,
     author = {Stipanovi\'c, Du\v{s}an M. and Shankaran, Sriram and Tomlin, Claire J.},
     title = {Multi-agent avoidance control using an $M$-matrix property},
     journal = {The electronic journal of linear algebra},
     publisher = {mathdoc},
     volume = {12},
     year = {2004-2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2004-2005__12__a1/}
}
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Stipanović, Dušan M.; Shankaran, Sriram; Tomlin, Claire J. Multi-agent avoidance control using an $M$-matrix property. The electronic journal of linear algebra, Tome 12 (2004-2005). http://geodesic.mathdoc.fr/item/ELA_2004-2005__12__a1/