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Titlebook: (In-)Stability of Differential Inclusions; Notions, Equivalence Philipp Braun,Lars Grüne,Christopher M. Kellett Book 2021 The Author(s), un

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發(fā)表于 2025-3-21 19:23:28 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱(In-)Stability of Differential Inclusions
期刊簡(jiǎn)稱Notions, Equivalence
影響因子2023Philipp Braun,Lars Grüne,Christopher M. Kellett
視頻videohttp://file.papertrans.cn/101/100071/100071.mp4
發(fā)行地址Offers a unified presentation of stability results for dynamical systems using Lyapunov-like characterizations.Provides derivation of strong/weak complete instability results for systems in terms of L
學(xué)科分類SpringerBriefs in Mathematics
圖書封面Titlebook: (In-)Stability of Differential Inclusions; Notions, Equivalence Philipp Braun,Lars Grüne,Christopher M. Kellett Book 2021 The Author(s), un
影響因子.Lyapunov methods have been and are still one of the main tools to analyze the stability properties of dynamical systems.?In this monograph, Lyapunov results characterizing the stability and stability of the origin of differential inclusions are reviewed.?To characterize instability and destabilizability, Lyapunov-like functions, called Chetaev and control Chetaev functions in the monograph, are introduced. Based on their definition and by mirroring existing results on stability, analogue results for instability are derived. Moreover, by looking at the dynamics of a differential inclusion in backward time, similarities and differences between stability of the origin in forward time and instability in backward time, and vice versa, are discussed.?Similarly, the invariance of the stability and instability properties of the equilibria of differential equations with respect to scaling are summarized.?As a final result, ideas combining control Lyapunov and control Chetaev functions to simultaneously guarantee stability, i.e., convergence, and instability, i.e., avoidance, are outlined. The work is addressed at researchers working in control as well as graduate students in control engine
Pindex Book 2021
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G. Lepsien,J. Schneider,K. Dietrichts on comparison functions are derived. The results provide lower bounds used in the proofs in this monograph as counterparts to upper bounds contained in the literature. The second part collects known results used in Chap.?..
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發(fā)表于 2025-3-22 11:45:34 | 只看該作者
Philipp Braun,Lars Grüne,Christopher M. KellettOffers a unified presentation of stability results for dynamical systems using Lyapunov-like characterizations.Provides derivation of strong/weak complete instability results for systems in terms of L
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https://doi.org/10.1007/978-3-642-71711-6s characterizing stability and stabilizability of the origin of differential inclusions are reviewed. To characterize instability and destabilizability, Lyapunov-like functions, called Chetaev and control Chetaev functions in the monograph, are introduced. Based on their definition and by mirroring
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發(fā)表于 2025-3-22 21:18:36 | 只看該作者
https://doi.org/10.1007/978-3-642-71711-6r differential equations and corresponding Lyapunov-like characterizations. Since in the context of differential inclusions smooth control Lyapunov functions are not sufficient to describe weak stability properties, we use nonsmooth control Lyapunov functions in the Dini sense. Nonsmooth control Lya
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https://doi.org/10.1007/978-3-642-71711-6is chapter we discuss . and . results, where properties need to be satisfied for at least . instead of for .. While the results from the last chapter allowed us to draw conclusions in terms of robustness, the results in this chapter guarantee stabilizability or destabilizability of the origin. In pa
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