Titlebook: Reduction of Nonlinear Control Systems; A Differential Geome V. I. Elkin Book 1999 Springer Science+Business Media Dordrecht 1999 Immersion

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978-94-010-5951-0Springer Science+Business Media Dordrecht 1999

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Certain Control Problems,Let us consider the affine control system

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Mathematics and Its Applicationshttp://image.papertrans.cn/r/image/824566.jpg

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https://doi.org/10.1007/978-94-011-4617-3Immersion; control; control system; nonlinear control; ordinary differential equations

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hematical models are also concurrently elaborated for these processes. In particular, linear dynamic control systems iJ = Ay + Bu, y E M C ]Rn, U E ]RT, (1) where A and B are constants, are often abandoned in favor of nonlinear dynamic control systems (2) which, in addition, contain a large number o

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Factorization of Control Systems, is complete and, additionally, a submersion. Recall that, in the terminology of Sec. 2.2, the completeness of a morphism . implies that if . and . are the associated affine distributions of systems (4.1) and (4.2), respectively, then ...(.) = .(. ?. ∈ .. Since . is a submersion, the mapping . is defined by . functionally independent functions

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