| 书目名称 | Max-Plus Methods for Nonlinear Control and Estimation |
| 编辑 | William M. McEneaney |
| 视频video | |
| 概述 | Examines the control of continuous-time/continuous-space nonlinear systems.Several classes of nonlinear control problems are addressed, nonlinear optimal control problems and nonlinear robust/H-infini |
| 丛书名称 | Systems & Control: Foundations & Applications |
| 图书封面 |  |
| 描述 | The control and estimation of continuous-time/continuous-space nonlinear systems continues to be a challenging problem, and this is one of the c- tral foci of this book. A common approach is to use dynamic programming; this typically leads to solution of the control or estimation problem via the solution of a corresponding Hamilton–Jacobi (HJ) partial di?erential eq- tion (PDE). This approach has the advantage of producing the “optimal” control. (The term “optimal” has a somewhat more complex meaning in the class of H problems. However, we will freely use the term for such controllers ? throughout, and this meaning will be made more precise when it is not ob- ous. )Thus,insolvingthecontrol/estimationproblem,wewillbesolvingsome nonlinear HJ PDEs. One might note that a second focus of the book is the solution of a class of HJ PDEs whose viscosity solutions have interpretations as value functions of associated control problems. Note that we will brie?y discuss the notion of viscosity solution of a nonlinear HJ PDE, and indicate that this solution has the property that it is the correct weak solution of the PDE. By correct weak solution in this context, we mean that it is the solution |
| 出版日期 | Book 2006 |
| 关键词 | Analysis; GUM; algorithm; algorithms; construction; linearity; numerical methods; operator; programming; part |
| 版次 | 1 |
| doi | https://doi.org/10.1007/0-8176-4453-9 |
| isbn_ebook | 978-0-8176-4453-6Series ISSN 2324-9749 Series E-ISSN 2324-9757 |
| issn_series | 2324-9749 |
| copyright | Birkhäuser Boston 2006 |
发表于 2025-3-21 16:26:15
