| 書目名稱 | Partial Differential Equations and Group Theory | | 副標(biāo)題 | New Perspectives for | | 編輯 | J.-F. Pommaret | | 視頻video | http://file.papertrans.cn/742/741508/741508.mp4 | | 叢書名稱 | Mathematics and Its Applications | | 圖書封面 |  | | 描述 | Ordinary differential control thPory (the classical theory) studies input/output re- lations defined by systems of ordinary differential equations (ODE). The various con- cepts that can be introduced (controllability, observability, invertibility, etc. ) must be tested on formal objects (matrices, vector fields, etc. ) by means of formal operations (multiplication, bracket, rank, etc. ), but without appealing to the explicit integration (search for trajectories, etc. ) of the given ODE. Many partial results have been re- cently unified by means of new formal methods coming from differential geometry and differential algebra. However, certain problems (invariance, equivalence, linearization, etc. ) naturally lead to systems of partial differential equations (PDE). More generally, partial differential control theory studies input/output relations defined by systems of PDE (mechanics, thermodynamics, hydrodynamics, plasma physics, robotics, etc. ). One of the aims of this book is to extend the preceding con- cepts to this new situation, where, of course, functional analysis and/or a dynamical system approach cannot be used. A link will be exhibited between this domain of applied mathe | | 出版日期 | Book 1994 | | 關(guān)鍵詞 | Group theory; Nonlinear system; algorithms; computer algebra; mathematical physics; partial differential | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-017-2539-2 | | isbn_softcover | 978-90-481-4432-7 | | isbn_ebook | 978-94-017-2539-2 | | copyright | Springer Science+Business Media Dordrecht 1994 |
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