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Approximation of Hamilton-Jacobi Equations Arising in Nonlinear H [infinity] Control Problems

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Release : 1995
Genre : H infinity symbol control
Kind : eBook
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Book Synopsis Approximation of Hamilton-Jacobi Equations Arising in Nonlinear H [infinity] Control Problems by : Fabio Camilli

Download or read book Approximation of Hamilton-Jacobi Equations Arising in Nonlinear H [infinity] Control Problems written by Fabio Camilli. This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Solutions of the Hamilton-Jacobi Equations Arising in Nonlinear H[infinity] and Optimal Control

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Release : 1998
Genre :
Kind : eBook
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Book Synopsis Numerical Solutions of the Hamilton-Jacobi Equations Arising in Nonlinear H[infinity] and Optimal Control by : Jerry Markman

Download or read book Numerical Solutions of the Hamilton-Jacobi Equations Arising in Nonlinear H[infinity] and Optimal Control written by Jerry Markman. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear H2/H-Infinity Constrained Feedback Control

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Author :
Release : 2006-08-02
Genre : Technology & Engineering
Kind : eBook
Book Rating : 507/5 ( reviews)

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Book Synopsis Nonlinear H2/H-Infinity Constrained Feedback Control by : Murad Abu-Khalaf

Download or read book Nonlinear H2/H-Infinity Constrained Feedback Control written by Murad Abu-Khalaf. This book was released on 2006-08-02. Available in PDF, EPUB and Kindle. Book excerpt: This book provides techniques to produce robust, stable and useable solutions to problems of H-infinity and H2 control in high-performance, non-linear systems for the first time. The book is of importance to control designers working in a variety of industrial systems. Case studies are given and the design of nonlinear control systems of the same caliber as those obtained in recent years using linear optimal and bounded-norm designs is explained.

Approximation of Hamilton Jacobi Equations on Irregular Data

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Release : 2012-05
Genre :
Kind : eBook
Book Rating : 532/5 ( reviews)

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Book Synopsis Approximation of Hamilton Jacobi Equations on Irregular Data by : Adriano Festa

Download or read book Approximation of Hamilton Jacobi Equations on Irregular Data written by Adriano Festa. This book was released on 2012-05. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the development and the analysis of numerical methods for the resolution of first order nonlinear differential equations of Hamilton-Jacobi type on irregular data. These equations arises for example in the study of front propagation via the level set methods, the Shape-from-Shading problem and, in general, in Control theory. Our contribution to the numerical approximation of Hamilton-Jacobi equations consists in the proposal of some semiLagrangian schemes for different kind of discontinuous Hamiltonian and in an analysis of their convergence and a comparison of the results on some test problems. In particular we will approach with an eikonal equation with discontinuous coefficients in a well posed case of existence of Lipschitz continuous solutions. Furthermore, we propose a semiLagrangian scheme also for a Hamilton-Jacobi equation of a eikonal type on a ramified space, for example a graph. This is a not classical domain and only in last years there are developed a systematic theory about this. We present, also, some applications of our results on several problems arise from applied sciences.

Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications

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Release : 2013-05-24
Genre : Mathematics
Kind : eBook
Book Rating : 330/5 ( reviews)

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Book Synopsis Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications by : Yves Achdou

Download or read book Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications written by Yves Achdou. This book was released on 2013-05-24. Available in PDF, EPUB and Kindle. Book excerpt: These Lecture Notes contain the material relative to the courses given at the CIME summer school held in Cetraro, Italy from August 29 to September 3, 2011. The topic was "Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications". The courses dealt mostly with the following subjects: first order and second order Hamilton-Jacobi-Bellman equations, properties of viscosity solutions, asymptotic behaviors, mean field games, approximation and numerical methods, idempotent analysis. The content of the courses ranged from an introduction to viscosity solutions to quite advanced topics, at the cutting edge of research in the field. We believe that they opened perspectives on new and delicate issues. These lecture notes contain four contributions by Yves Achdou (Finite Difference Methods for Mean Field Games), Guy Barles (An Introduction to the Theory of Viscosity Solutions for First-order Hamilton-Jacobi Equations and Applications), Hitoshi Ishii (A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton-Jacobi Equations) and Grigory Litvinov (Idempotent/Tropical Analysis, the Hamilton-Jacobi and Bellman Equations).

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