UNIVERSAL COVERING OF DRIFTLESS CONTROL SYSTEMS


Kizil E.

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, cilt.14, ss.453-464, 2008 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 14 Konu: 4
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1007/s10883-008-9046-8
  • Dergi Adı: JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
  • Sayfa Sayıları: ss.453-464

Özet

Let M be a finite-dimensional manifold and Sigma be a driftless control system on M of full rank. We prove that for a given initial state x epsilon M, the covering space Gamma(Sigma, x) for a monotonic homotopy of trajectories of Sigma which is recently constructed in [1] coincides with the simply connected universal covering manifold of M and that the terminal projection epsilon(x) : Gamma(Sigma, x) -> M given by epsilon(x) ([alpha]) = alpha(1) is a covering mapping.