书目名称 | Topics in Multidimensional Linear Systems Theory |
编辑 | Eva Zerz |
视频video | |
概述 | Only monograph to take this approach to multidimensional systems theory |
丛书名称 | Lecture Notes in Control and Information Sciences |
图书封面 |  |
描述 | The past few decades have witnessed an increasing interest in the field of multidimensional systems theory. This is concerned with systems whose trajectories depend not on one single variable (usually interpreted as time or frequency), but on several independent variables, such as the coordinates of an image..The behavioural approach introduced by J. C. Willems provides a particularly suitable framework for developing a linear systems theory in several variables. The book deals with the classical concepts of autonomy, controllability, observability, and stabilizability. All the tests and criteria given are constructive in the sense that algorithmic versions may be implemented in modern computer algebra systems, using Gröbner basis techniques..There is a close connection between multidimensional systems theory and robust control of one-dimensional systems with several uncertain parameters. The central link consists in the basic tool of linear fractional transformations. The book concludes with examples from the theory of electrical networks. |
出版日期 | Book 2000 |
关键词 | Algebraic Systems Theory; Applied Algebra; Control Theory; Control lability; Linear Systems; Multidimensi |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0110139 |
isbn_softcover | 978-1-85233-336-2 |
isbn_ebook | 978-1-84628-566-0Series ISSN 0170-8643 Series E-ISSN 1610-7411 |
issn_series | 0170-8643 |
copyright | Springer-Verlag London 2000 |