Infinite chains of kinematic points

Avraham Feintuch, Bruce Francis

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


In formulating the stability problem for an infinite chain of cars, state space is traditionally taken to be the Hilbert space ℓ 2, wherein the displacements of cars from their equilibria, or the velocities from their equilibria, are taken to be square summable. But this obliges the displacements or velocity perturbations of cars that are far down the chain to be vanishingly small and leads to anomalous behaviour. In this paper an alternative formulation is proposed wherein state space is the Banach space ℓ , allowing the displacements or velocity perturbations of cars from their equilibria to be merely bounded.

Original languageEnglish
Pages (from-to)901-908
Number of pages8
Issue number5
StatePublished - 1 May 2012


  • Robot kinematics
  • Stability analysis
  • Strings of vehicles

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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