书目名称 | Nonsmooth Lyapunov Analysis in Finite and Infinite Dimensions |
编辑 | Yury Orlov |
视频video | |
概述 | Focuses on the methodology of the construction of nonsmooth Lyapunov functions, given in both finite- and infinite-dimensional settings.Presents theoretical development, relying on up-to-date nonsmoot |
丛书名称 | Communications and Control Engineering |
图书封面 |  |
描述 | .Nonsmooth Lyapunov Analysis in Finite and Infinite Dimensions. provides helpful tools for the treatment of a broad class of dynamical systems that are governed, not only by ordinary differential equations but also by partial and functional differential equations. Existing Lyapunov constructions are extended to discontinuous systems—those with variable structure and impact—by the involvement of nonsmooth Lyapunov functions. The general theoretical presentation is illustrated by control-related applications; the nonsmooth Lyapunov construction is particularly applied to the tuning of sliding-mode controllers in the presence of mismatched disturbances and to orbital stabilization of the bipedal gate. The nonsmooth construction is readily extendible to the control and identification of distributed-parameter and time-delay systems..The first part of the book outlines the relevant fundamentals of benchmark models and mathematical basics. The second concentrates on theconstruction of nonsmooth Lyapunov functions. Part III covers design and applications material..This book will benefit the academic research and graduate student interested in the mathematics of Lyapunov equations and varia |
出版日期 | Book 2020 |
关键词 | Lyapunov Stability; Sliding-Mode Control; Variable Structure Systems; Infinite-Dimensional Systems; Impa |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-37625-3 |
isbn_softcover | 978-3-030-37627-7 |
isbn_ebook | 978-3-030-37625-3Series ISSN 0178-5354 Series E-ISSN 2197-7119 |
issn_series | 0178-5354 |
copyright | Springer Nature Switzerland AG 2020 |