Advertisement

Homogeneous Deformation of Multi-Agent Systems Communication

  • Hossein Rastgoftar
Chapter

Abstract

In this chapter, it is shown how a multi-agent system (MAS) can acquire a desired homogeneous deformation in \(\mathbb{R}^{n}\) (prescribed by n + 1 leaders) through local communication. For this purpose, two communication protocols are developed. The first protocol, that is called minimum communication, allows each follower to communicate only with n + 1 local agents. Under this protocol, communication weights

References

  1. 9.
    Berman, A., & Plemmons, R. J. (1979). Nonnegative matrices. The Mathematical Sciences, Classics in Applied Mathematics, 9.Google Scholar
  2. 64.
    Lai, W. M., Rubin, D. H., Rubin, D., & Krempl, E. (2009). Introduction to continuum mechanics. Oxford: Butterworth-Heinemann.Google Scholar
  3. 94.
    Olgac, N., & Sipahi, R. (2016). A practical method for analyzing the stability of neutral type LTI-time delayed systems. Automatica, 40(5), 847–853.MathSciNetCrossRefzbMATHGoogle Scholar
  4. 102.
    Qu, Z. (2009). Cooperative control of dynamical systems: Applications to autonomous vehicles. New York: Springer Science Business Media.zbMATHGoogle Scholar
  5. 113.
    Rastgoftar, H., & Jayasuriya, S. (2015). Swarm motion as particles of a continuum with communication delays. Journal of Dynamic Systems, Measurement, and Control, 137(11), 111008.CrossRefGoogle Scholar
  6. 114.
    Rastgoftar, H., & Atkins, E. M. (2017). Continuum deformation of multi-agent systems under directed communication topologies. Journal of Dynamic Systems, Measurement, and Control, 139(1), 011002.CrossRefGoogle Scholar
  7. 115.
    Rastgoftar, H., Kwatny, H. G., & Atkins, E. M. (2017). Asymptotic tracking and robustness of MAS transitions under a new communication topology. IEEE Transactions on Automation Science and Engineering, pp(99).Google Scholar
  8. 131.
    Sipahi, R., & Olgac, N. (2006). Complete stability analysis of neutral-type first order two-time-delay systems with cross-talking delays. SIAM journal on control and optimization, 45(3), 957–971.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer International Publishing AG 2016

Authors and Affiliations

  • Hossein Rastgoftar
    • 1
  1. 1.Department of Aerospace EngineeringUniversity of Michigan Ann ArborAnn ArborUSA

Personalised recommendations