Geometric Framework and Minimal Realizations of Nonlinear Systems on Fibre Bundle

Mu Xiaowu

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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.

Citation:

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

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Geometric Framework and Minimal Realizations of Nonlinear Systems on Fibre Bundle

Mu Xiaowu

Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P. R. China

Received Date: 1996-03-20
Publish Date: 1996-10-15

Abstract

Abstract

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.
- fibre bundle,
- controllability,
- observability,
- minimality

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References(16)

References

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