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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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书目名称Constructions of Strict Lyapunov Functions
编辑Michael‘Malisoff,Frédéric Mazenc
视频videohttp://file.papertrans.cn/237/236095/236095.mp4
概述Provides 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
丛书名称Communications and Control Engineering
图书封面Titlebook: Constructions of Strict Lyapunov Functions;  Michael‘Malisoff,Frédéric Mazenc Book 2009 Springer-Verlag London 2009 Lyapunov Analysis.Lyapu
描述.Converse Lyapunov function theory guarantees the existence of strict Lyapunov functions in many situations, but the functions it provides are often abstract and nonexplicit, and therefore may not lend themselves to engineering applications. Often, even when a system is known to be stable, one still needs explicit Lyapunov functions; however, once an appropriate strict Lyapunov function has been constructed, many robustness and stabilization problems can be solved through standard feedback designs or robustness arguments. Non-strict Lyapunov functions are often readily constructed...This book contains a broad repertoire of Lyapunov constructions for nonlinear systems, focusing on methods for transforming non-strict Lyapunov functions into strict ones. Their explicitness and simplicity make them suitable for feedback design, and for quantifying the effects of uncertainty. Readers will benefit from the authors’ mathematical rigor and unifying, design-oriented approach, as well as the numerous worked examples..
出版日期Book 2009
关键词Lyapunov Analysis; Lyapunov Constructions; Time-varying Systems; adaptive control; control; control theor
版次1
doihttps://doi.org/10.1007/978-1-84882-535-2
isbn_softcover978-1-4471-5782-3
isbn_ebook978-1-84882-535-2Series ISSN 0178-5354 Series E-ISSN 2197-7119
issn_series 0178-5354
copyrightSpringer-Verlag London 2009
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C. Perlet,S. H. Heywang-Köbrunner amplitude. It requires certain algebraic conditions on the Lie derivatives of a suitable non-strict Lyapunov function, in the directions of the vector fields that define the system. The non-strictness of the Lyapunov function is an obstacle to proving robustness, since robustness analysis typically
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https://doi.org/10.1007/978-3-540-70764-6o a wide family of globally asymptotically stabilizing control laws, and it makes it possible to address robustness issues and solve adaptive control problems. This chapter begins with a review of classical backstepping for time-invariant systems. We then give several extensions that lead to timevar
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https://doi.org/10.1007/978-3-540-70764-6 strict Lyapunov functions were expressed in terms of given nonstrict Lyapunov functions and the auxiliary functions from the Matrosov assumptions. The method relied on a special structure for the upper bounds on the time derivatives of the auxiliary functions. In this chapter, we present a more gen
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Guido Eilenberger,Sascha Haghaninamics are completely known. However, there are important cases where the system parameters are unknown, and where the objectives are to simultaneously (a) design controllers that force the trajectories to track a prescribed reference trajectory and (b) estimate the unknown parameters. In this chapt
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