Table 1

List of symbols

SymbolsDescriptionSymbolsDescription
xi(t)Position of Robot i at tei(t)Direction of Robot i at t
νi(t)Translational speedωi(t)Rotation speed
siPath of Robot ipjWaypoint on the path
L/lDistance along the pathT1/T2Energy function
αControl parameterdij(t)Shortest distance between Robot i and j
ξij(t)Collision time between Robot i and jei(t)Perpendicular vector to ei(t)
κi(t)Shape of Robot iκi,k(t)Vertice of Robot i
Source(s): This study

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