Controllability of Lie-Poisson Reduced Dynamics by

  title={Controllability of Lie-Poisson Reduced Dynamics by},
  author={P. S. Krishnaprasad V. Manikonda},
  • P. S. Krishnaprasad V. Manikonda
  • Published 1997
In this paper we discuss controllability of Lie-Poisson reduced dynamics of a class of mechanical systems. We prove conditions boundedness of coadjoint orbits and existence of a radially unbounded Lyapunov function under which the drift vector eld of the reduced system is weakly positively Poisson stable WPPS. The WPPS nature of the drift vector eld along with the Lie algebra rank condition is used to show controllability of the reduced system. We discuss the dynamics, Lie-Poisson reduction… CONTINUE READING

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