書目名稱 | Reduction of Nonlinear Control Systems | 副標(biāo)題 | A Differential Geome | 編輯 | V. I. Elkin | 視頻video | http://file.papertrans.cn/825/824566/824566.mp4 | 叢書名稱 | Mathematics and Its Applications | 圖書封面 |  | 描述 | Advances in science and technology necessitate the use of increasingly-complicated dynamic control processes. Undoubtedly, sophisticated mathematical 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 of equations. The solution of problems for multidimensional nonlinear control systems en- counters serious difficulties, which are both mathematical and technical in nature. Therefore it is imperative to develop methods of reduction of nonlinear systems to a simpler form, for example, decomposition into systems of lesser dimension. Approaches to reduction are diverse, in particular, techniques based on approxi- mation methods. In this monograph, we elaborate the most natural and obvious (in our opinion) approach, which is essentially inherent in any theory of math- ematical entities, for instance, in the theory of linear spaces, theory of groups, etc. Reduction in our interpretation is based on assigning to the initial object an isomorphic object, a q | 出版日期 | Book 1999 | 關(guān)鍵詞 | Immersion; control; control system; nonlinear control; ordinary differential equations | 版次 | 1 | doi | https://doi.org/10.1007/978-94-011-4617-3 | isbn_softcover | 978-94-010-5951-0 | isbn_ebook | 978-94-011-4617-3 | copyright | Springer Science+Business Media Dordrecht 1999 |
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