Mu Xiaowu. Geometric Framework and Minimal Realizations of Nonlinear Systems on Fibre Bundle[J]. Applied Mathematics and Mechanics, 1996, 17(10): 939-950.
Citation: Mu Xiaowu. Geometric Framework and Minimal Realizations of Nonlinear Systems on Fibre Bundle[J]. Applied Mathematics and Mechanics, 1996, 17(10): 939-950.

Geometric Framework and Minimal Realizations of Nonlinear Systems on Fibre Bundle

  • Received Date: 1996-03-20
  • Publish Date: 1996-10-15
  • The definition of nonlinear control sysms on fibre bundles proposed by Brockett and Willems is incomplete from the mathematical view geometric framework is proposed and a minimal realization theory is developed for nonlinear control systems on fibre bundles which is elaborated as a natural generalization of Sussmann's theory and differs essentially from Van der Schaft's approach. Limitations of realization theory given by Van der Schaft are also discussed.
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