Construction Of Lyapunov Functions

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Construction Of Global Lyapunov Functions Using Radial Basis Functions

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Author : Peter Giesl
language : en
Publisher: Springer
Release Date : 2007-04-11

Construction Of Global Lyapunov Functions Using Radial Basis Functions written by Peter Giesl and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-11 with Mathematics categories.

The basin of attraction of an equilibrium of an ordinary differential equation can be determined using a Lyapunov function. A new method to construct such a Lyapunov function using radial basis functions is presented in this volume intended for researchers and advanced students from both dynamical systems and radial basis functions. Besides an introduction to both areas and a detailed description of the method, it contains error estimates and many examples.

Construction Of Lyapunov Functions

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Author : D. A. Difelce
language : en
Publisher:
Release Date : 1972

Construction Of Lyapunov Functions written by D. A. Difelce and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.

Constructions Of Strict Lyapunov Functions

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Author : Michael Malisoff
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-06-13

Constructions Of Strict Lyapunov Functions written by Michael Malisoff and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-13 with Technology & Engineering categories.

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.

Construction Of Lyapunov Functions

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Author : John D. Besser
language : en
Publisher:
Release Date : 1977

Construction Of Lyapunov Functions written by John D. Besser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Lyapunov functions categories.

On The Construction Of Lyapunov Functions For Nonlinear Systems

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Author : K. S. NARENDRA
language : en
Publisher:
Release Date : 1960

On The Construction Of Lyapunov Functions For Nonlinear Systems written by K. S. NARENDRA and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with categories.

Technical Report No328 On The Construction Of Lyapunov Functions For Nonlinear Systems

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Author : United States. Naval Research Office
language : en
Publisher:
Release Date : 1960

Technical Report No328 On The Construction Of Lyapunov Functions For Nonlinear Systems written by United States. Naval Research Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with categories.

Algorithmic Construction Of Lyapunov Functions For Power Grid Stability Analysis

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Author :
language : en
Publisher:
Release Date : 2012

Algorithmic Construction Of Lyapunov Functions For Power Grid Stability Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.

Construction Of Lyapunov Functions On The Domain Of Asymptotic Nullcontrollability

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Author : Fabio Camilli
language : en
Publisher:
Release Date : 2004

Construction Of Lyapunov Functions On The Domain Of Asymptotic Nullcontrollability written by Fabio Camilli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.

A Graph Theoretic Approach To The Construction Of Lyapunov Functions For Coupled Systems On Networks

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Author : Zhisheng Shuai
language : en
Publisher:
Release Date : 2010

A Graph Theoretic Approach To The Construction Of Lyapunov Functions For Coupled Systems On Networks written by Zhisheng Shuai and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Differential equations, Nonlinear categories.

Lyapunov Functionals And Stability Of Stochastic Functional Differential Equations

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Author : Leonid Shaikhet
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-29

Lyapunov Functionals And Stability Of Stochastic Functional Differential Equations written by Leonid Shaikhet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-29 with Technology & Engineering categories.

Stability conditions for functional differential equations can be obtained using Lyapunov functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations describes the general method of construction of Lyapunov functionals to investigate the stability of differential equations with delays. This work continues and complements the author’s previous book Lyapunov Functionals and Stability of Stochastic Difference Equations, where this method is described for difference equations with discrete and continuous time. The text begins with both a description and a delineation of the peculiarities of deterministic and stochastic functional differential equations. There follows basic definitions for stability theory of stochastic hereditary systems, and the formal procedure of Lyapunov functionals construction is presented. Stability investigation is conducted for stochastic linear and nonlinear differential equations with constant and distributed delays. The proposed method is used for stability investigation of different mathematical models such as: • inverted controlled pendulum; • Nicholson's blowflies equation; • predator-prey relationships; • epidemic development; and • mathematical models that describe human behaviours related to addictions and obesity. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations is primarily addressed to experts in stability theory but will also be of interest to professionals and students in pure and computational mathematics, physics, engineering, medicine, and biology.