| 书目名称 | Stability and Boundary Stabilization of 1-D Hyperbolic Systems |
| 编辑 | Georges Bastin,Jean-Michel Coron |
| 视频video | |
| 概述 | Discusses a wide range of applications, allowing readers to understand the concepts in whichever setting is most familiar to them.Demonstrates how control boundary conditions may be defined for the mo |
| 丛书名称 | Progress in Nonlinear Differential Equations and Their Applications |
| 图书封面 |  |
| 描述 | This monograph explores the modeling of conservation and balance laws of one-dimensional hyperbolic systems using partial differential equations. It presents typical examples of hyperbolic systems for a wide range of physical engineering applications, allowing readers to understand the concepts in whichever setting is most familiar to them. With these examples, it also illustrates how control boundary conditions may be defined for the most commonly used control devices..The authors begin with the simple case of systems of two linear conservation laws and then consider the stability of systems under more general boundary conditions that may be differential, nonlinear, or switching. They then extend their discussion to the case of nonlinear conservation laws and demonstrate the use of Lyapunov functions in this type of analysis. Systems of balance laws are considered next, starting with the linear variety before they move on to more general cases of nonlinear ones. They go on to show how the problem of boundary stabilization of systems of two balance laws by both full-state and dynamic output feedback in observer-controller form is solved by using a “backstepping” method, in whi |
| 出版日期 | Book 2016 |
| 关键词 | Dissipativity; Hyperbolic Systems; Linear Systems of Conservation Laws; Linear and Nonlinear Balance La |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-32062-5 |
| isbn_softcover | 978-3-319-81185-7 |
| isbn_ebook | 978-3-319-32062-5Series ISSN 1421-1750 Series E-ISSN 2374-0280 |
| issn_series | 1421-1750 |
| copyright | Springer International Publishing Switzerland 2016 |
发表于 2025-3-21 19:24:16
