| 书目名称 | L2-Gain and Passivity Techniques in Nonlinear Control |
| 编辑 | Arjan van der Schaft |
| 视频video | |
| 概述 | Enriches understanding of a fundamental and rapidly developing area of nonlinear control theory.Explains the small-gain and passivity theorems and their implications for stability and stabilization.Ex |
| 丛书名称 | Communications and Control Engineering |
| 图书封面 |  |
| 描述 | .This standard text gives a unified treatment of passivity and L.2.-gain theory for nonlinear state space systems, preceded by a compact treatment of classical passivity and small-gain theorems for nonlinear input-output maps. The synthesis between passivity and L.2.-gain theory is provided by the theory of dissipative systems. Specifically, the small-gain and passivity theorems and their implications for nonlinear stability and stabilization are discussed from this standpoint. The connection between L.2.-gain and passivity via scattering is detailed...Feedback equivalence to a passive system and resulting stabilization strategies are discussed. The passivity concepts are enriched by a generalised Hamiltonian formalism, emphasising the close relations with physical modeling and control by interconnection, and leading to novel control methodologies going beyond passivity...The potential of L.2.-gain techniquesin nonlinear control, including a theory of all-pass factorizations of nonlinear systems, and of parametrization of stabilizing controllers, is demonstrated. The nonlinear H-infinity optimal control problem is also treated and the book concludes with a geometric analysis of the |
| 出版日期 | Book 2017Latest edition |
| 关键词 | Hamilton–Jacobi Inequalities; Nonlinear Control; Passive Systems; Small-gain Theorem; Input–Output Stabi |
| 版次 | 3 |
| doi | https://doi.org/10.1007/978-3-319-49992-5 |
| isbn_softcover | 978-3-319-84294-3 |
| isbn_ebook | 978-3-319-49992-5Series ISSN 0178-5354 Series E-ISSN 2197-7119 |
| issn_series | 0178-5354 |
| copyright | Springer International Publishing AG 2017 |
发表于 2025-3-21 19:44:44
