书目名称 | The Hyperbolic Map and Applications to the Linear Quadratic Regulator |
编辑 | Brian J. Daiuto,Tom T. Hartley,Stephen P. Chicatel |
视频video | |
丛书名称 | Lecture Notes in Control and Information Sciences |
图书封面 |  |
描述 | This research monograph gives a complete discussion of the theory of the discrete-time hyperbolic map. Both scalar and matrix representations are considered. The dynamics of the map are analyzed and discussions of stability, quasiperiodicity, and chaos are included. Several applications are discusssed, the most important being the discrete-time linear time-invariant quadratic regulator. The results obtained from this analysis are then extended to the continuous-time linear regulator. A discussion of the linear quadratic regulator with negative state weighting provides some important insights into the general regulator theory. The results contained in this monograph should be accessible to the first year graduate student or advanced senior undergraduate. Interested readers should also have a background in ODE‘s, difference equations, optimization theory, and/or digital control theory. |
出版日期 | Book 1989 |
关键词 | Nichtlineare Differentialgleichungen; Optimale Regelung; Regelung; Regelungstheorie; chaos; control; contr |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0042968 |
isbn_softcover | 978-3-540-96741-5 |
isbn_ebook | 978-3-540-40900-7Series ISSN 0170-8643 Series E-ISSN 1610-7411 |
issn_series | 0170-8643 |
copyright | Springer Science+Business Media New York 1989 |