In this chapter, elements of homogeneity theory of multi-agent systems are introduced. Finite-time and fixed-time formation and consensus control protocols for simplest multi-agent systems are designed and analyzed based on the standard homogeneity. A possibility of extension of these results to systems with agents modeled by linear multi-input systems is demonstrated using the linear homogeneity.

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Homogeneity in Multi-agent Systems

  • Andrey Polyakov

摘要

In this chapter, elements of homogeneity theory of multi-agent systems are introduced. Finite-time and fixed-time formation and consensus control protocols for simplest multi-agent systems are designed and analyzed based on the standard homogeneity. A possibility of extension of these results to systems with agents modeled by linear multi-input systems is demonstrated using the linear homogeneity.