Abstract
The definition of nonlinear control systems on fibre bundles proposed by Brockett and Willems is incomplete from the mathematical view. A new 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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Communicated by Zheng Quanshui
Project Supported by the National Natural Science Foundation of China and Hénan Natural Scientific Fund.
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Xiaowu, M. Geometric framework and minimal realizations of nonlinear systems on fibre bundle. Appl Math Mech 17, 999–1008 (1996). https://doi.org/10.1007/BF00147138
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DOI: https://doi.org/10.1007/BF00147138