journal6 ›› 2007, Vol. 28 ›› Issue (6): 22-29.

• Mathematics • Previous Articles     Next Articles

Application of Casimir Functions to  Generalized Hamiltonian Control System


  1. (Department of Mathematics,Honghe University,Mengzi 661100,Yunnan China)
  • Online:2007-11-25 Published:2012-06-10

Abstract: The authors investigate Casimir functions on Pseudo-Poisson manifold and one necessary and sufficient condition is obtained for the existence of Casimir functions on Pseudo-Poisson manifold.As an application,by using Casimir functions,how to construct a corresponding augment generalized Hamiltonian system and the maintenance of energy-conservation are also concerned.

Key words: Pseudo-Poisson manifold, Casimir function, generalized Hamiltonian system of control, energy-conservation

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