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Titlebook: Generalized Homogeneity in Systems and Control; Andrey Polyakov Book 20201st edition Springer Nature Switzerland AG 2020 Homogeneous Syste

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書(shū)目名稱(chēng)Generalized Homogeneity in Systems and Control
編輯Andrey Polyakov
視頻videohttp://file.papertrans.cn/383/382212/382212.mp4
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
叢書(shū)名稱(chēng)Communications and Control Engineering
圖書(shū)封面Titlebook: Generalized Homogeneity in Systems and Control;  Andrey Polyakov Book 20201st edition Springer Nature Switzerland AG 2020 Homogeneous Syste
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
關(guān)鍵詞Homogeneous Systems; Nonlinear Control; Nonlinear Estimation; Stability of Nonlinear Systems; Approximat
版次1
doihttps://doi.org/10.1007/978-3-030-38449-4
isbn_softcover978-3-030-38451-7
isbn_ebook978-3-030-38449-4Series ISSN 0178-5354 Series E-ISSN 2197-7119
issn_series 0178-5354
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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Jing Yang,Yaling Chen,Weibang Sunof symmetry, the homogeneity is expected to be useful for optimization purposes. In this chapter, we study homogeneous optimal control problems in . and revise the conventional tools of an optimal control design (the Bellman function method and the Pontryagin maximum principle) under the assumption
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