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Titlebook: Nonsmooth Lyapunov Analysis in Finite and Infinite Dimensions; Yury Orlov Book 2020 Springer Nature Switzerland AG 2020 Lyapunov Stability

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發(fā)表于 2025-3-21 18:49:03 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Nonsmooth Lyapunov Analysis in Finite and Infinite Dimensions
編輯Yury Orlov
視頻videohttp://file.papertrans.cn/668/667880/667880.mp4
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
叢書名稱Communications and Control Engineering
圖書封面Titlebook: Nonsmooth Lyapunov Analysis in Finite and Infinite Dimensions; Yury Orlov Book 2020 Springer Nature Switzerland AG 2020 Lyapunov Stability
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
關(guān)鍵詞Lyapunov Stability; Sliding-Mode Control; Variable Structure Systems; Infinite-Dimensional Systems; Impa
版次1
doihttps://doi.org/10.1007/978-3-030-37625-3
isbn_softcover978-3-030-37627-7
isbn_ebook978-3-030-37625-3Series 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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沙發(fā)
發(fā)表于 2025-3-21 23:25:04 | 只看該作者
Modern Lyapunov Toolsyapunov functionals are conceptually introduced side by side. The stability analysis, capturing both strict?and non-strict Lyapunov functionals, is performed, particularly involving Krasovskii–LaSalle invariance principle.
板凳
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地板
發(fā)表于 2025-3-22 07:22:43 | 只看該作者
Mathematical Backgroundy formulation of constrained Lagrange dynamics is discussed and implicit Euler integration?is involved in numerical simulations of such vector fields to preserve sliding motions for their discrete approximations. Apart from this, the Poincaré method is invoked to illustrate the Hopf bifurcation of impact dynamics, generating stable?limit cycles.
5#
發(fā)表于 2025-3-22 12:35:07 | 只看該作者
Benchmark Modelsdynamics, the Zhuravlev–Ivanov transformation?is additionally involved for avoiding the state resets of the transformed vector field which turns out to be discontinuous (rather than impulsive), even if the original field is continuous.
6#
發(fā)表于 2025-3-22 14:18:17 | 只看該作者
Control Lyapunov Functions?are additionally constructed for VSS based on the Lyapunov gradient PDE. Finally, appropriate solutions of Hamilton–Jacobi PDEs?are involved to specify CLFs for achieving a prescribed closed-loop performance of uncertain VSS with resets.
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Book 2020e 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 theoretica
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發(fā)表于 2025-3-23 09:23:32 | 只看該作者
se cosmic background radiation in the near-infrared region. Measurement of the sky fluctuation at 2.2. gives a very low upper limit. The rocket observation of the near-infrared diffuse emission reveals isotropic emission which is possibly ascribed to an extra-galactic origin. The observed brightness
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