| 书目名称 | Partial Differential Equations and Group Theory | | 副标题 | New Perspectives for | | 编辑 | J.-F. Pommaret | | 视频video | | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 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 | | 关键词 | 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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发表于 2025-3-21 18:10:06
