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Titlebook: Constructions of Strict Lyapunov Functions; Michael‘Malisoff,Frédéric Mazenc Book 2009 Springer-Verlag London 2009 Lyapunov Analysis.Lyapu

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https://doi.org/10.1007/978-3-540-70764-6entary problem of explicitly constructing strict Lyapunov functions for . time-varying continuous time systems. As in the case of rapidly time-varying systems, slowly time-varying systems involve two continuous time scales, one faster than the other. However, the methods for constructing strict Lyap
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https://doi.org/10.1007/978-1-84882-535-2Lyapunov Analysis; Lyapunov Constructions; Time-varying Systems; adaptive control; control; control theor
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978-1-4471-5782-3Springer-Verlag London 2009
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Constructions of Strict Lyapunov Functions978-1-84882-535-2Series ISSN 0178-5354 Series E-ISSN 2197-7119
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Michael‘Malisoff,Frédéric MazencProvides the reader with a user-friendly framework for building Lyapunov functions in novel settings.Helps the reader with feedback design and in quantifying the effects of system uncertainty.Includes
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Communications and Control Engineeringhttp://image.papertrans.cn/c/image/236095.jpg
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A Doubt about the Equivalence Principle,ts a Lyapunov function that has a globally bounded gradient. This is important, because the existence of such a Lyapunov function guarantees robustness with respect to additive uncertainty in the dynamics. We illustrate these ideas in several examples.
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M. Kitzler,J. Caillat,A. Scrinzi,A. Baltuškaons for time-invariant systems that satisfy appropriate Matrosov Conditions. In Chapters 8 and 12, we generalize to much more complex time-varying systems, including Matrosov type theorems for hybrid systems.
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C. Perlet,S. H. Heywang-Köbrunnerb) our methods apply to Hamiltonian systems, which commonly arise in mechanical engineering. We illustrate our work using a two-link manipulator model, as well as an integral input-to-state stability result.
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