书目名称 | Generalized Homogeneity in Systems and Control |
编辑 | Andrey Polyakov |
视频video | |
概述 | Provides a thorough introduction to the theory of generalized homogeneous systems.Discusses mathematical models of dynamic systems in finite- and infinite-dimensions.Supports all theory with illustrat |
丛书名称 | Communications and Control Engineering |
图书封面 |  |
描述 | .This monograph introduces the theory of generalized homogeneous systems governed by differential equations in both Euclidean (finite-dimensional) and Banach/Hilbert (infinite-dimensional) spaces. It develops methods of stability and robustness analysis, control design, state estimation and discretization of homogeneous control systems. .Generalized Homogeneity in Systems and Control .is structured in two parts. Part I discusses various models of control systems and related tools for their analysis, including Lyapunov functions. Part II deals with the analysis and design of homogeneous control systems. Some of the key features of the text include:..mathematical models of dynamical systems infinite-dimensional and infinite-dimensional spaces;..the theory of linear dilations in Banach spaces;.homogeneous control and estimation;.simple methods for an "upgrade" of existinglinear control laws;..numerical schemes for a consistent digitalimplementation of homogeneous algorithms; and..experiments confirming an improvement of PIDcontrollers...The advanced mathematical material will be of interest to researchers, mathematicians working in control theory and mathematically oriented control e |
出版日期 | Book 20201st edition |
关键词 | Homogeneous Systems; Nonlinear Control; Nonlinear Estimation; Stability of Nonlinear Systems; Approximat |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-38449-4 |
isbn_softcover | 978-3-030-38451-7 |
isbn_ebook | 978-3-030-38449-4Series ISSN 0178-5354 Series E-ISSN 2197-7119 |
issn_series | 0178-5354 |
copyright | Springer Nature Switzerland AG 2020 |