Homogeneous Deformation without Interagent Communication

Hossein Rastgoftar
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Hossein Rastgoftar: University of Michigan Ann Arbor, Department of Aerospace Engineering

Chapter Chapter 2 in Continuum Deformation of Multi-Agent Systems, 2016, pp 11-49 from Springer

Abstract: Abstract In this chapter, basics of MAS evolution as continuum deformation are presented, where an MAS is treated as particles of a continuum deforming under a homogeneous transformation. It is shown how a homogeneous deformation is acquired by the agents via no interagent communication. In this regard, agents’ desired positions, defined by a homogeneous deformation in ℝ n $$\mathbb{R}^{n}$$ , are uniquely specified by the trajectories chosen by n + 1 leaders. Followers acquire the desired homogeneous mapping only by knowing leaders’ positions. Evolution of the followers with nonlinear constrained dynamics under a homogeneous transformation is investigated in this chapter. Homogeneous transformation of an MAS containing agents with linear dynamics is also studied.

Keywords: Homogeneous Deformation; Homogeneous Transformation; Desired Position; Continuous Deformation; Initial Centroid Positions (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-41594-9_2

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DOI: 10.1007/978-3-319-41594-9_2

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