Geometry And Analysis In Dynamical Systems Proceedings Of The Rims Conference

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Geometry And Analysis In Dynamical Systems Proceedings Of The Rims Conference
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Author : H Ito
language : en
Publisher: World Scientific
Release Date : 1994-10-10
Geometry And Analysis In Dynamical Systems Proceedings Of The Rims Conference written by H Ito and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-10-10 with categories.
Fuzzy logic has found applications in an incredibly wide range of areas in the relatively short time since its conception. It was invented by Lotfi Zadeh, a leading systems expert, so it is perhaps not surprising that system theory is one of the areas in which fuzzy logic has made a profound impact. Fuzzy logic combined with the paradigm of computing with words allows the use and manipulation of human knowledge and reasoning in the modeling and control of dynamical systems.This monograph presents new approaches to the construction of fuzzy models and to the design of fuzzy controllers. The emphasis is on developing methods that allow systematic design on the one hand and mathematical analysis of the resulting system on the other. In particular, the methods described allow rigorous analysis of the stability and robustness of the systems, which are crucial issues in control theory.The first theme of the book is a new approach to the systematic design and analysis of fuzzy controllers, given linguistic information concerning the plant and the control objective. The new approach, fuzzy Lyapunov synthesis, is a computing with words version of the well-known (classical) Lyapunov synthesis method.The second theme of the book is to show that fuzzy controllers are in fact solutions of a nonlinear optimal control problem. The authors formulate a novel nonlinear optimal control problem, consisting of a new state-space model — referred to as the hyperbolic state-space model — and a new cost functional, and show that its solution is a fuzzy controller. This leads to a new framework for fuzzy modeling and control that combines the advantages of the fuzzy world, such as linguistic interpretability, and of classical optimal control theory, such as guaranteed stability and robustness.
Geometry And Analysis In Dynamical Systems
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Author :
language : en
Publisher:
Release Date : 1994
Geometry And Analysis In Dynamical Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
Proceedings Of The Rims Conference Geometry And Analysis In Dynamical Systems
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Author : Hidekazu Ito
language : en
Publisher:
Release Date : 1994
Proceedings Of The Rims Conference Geometry And Analysis In Dynamical Systems written by Hidekazu Ito and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with MATHEMATICS categories.
Geometry And Analysis In Dynamical Systems
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Author : Hidekazu Ito
language : en
Publisher: World Scientific Publishing Company
Release Date : 1994
Geometry And Analysis In Dynamical Systems written by Hidekazu Ito and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Bifurcation theory categories.
Asymptotics In Dynamics Geometry And Pdes Generalized Borel Summation
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Author : Ovidiu Costin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-21
Asymptotics In Dynamics Geometry And Pdes Generalized Borel Summation written by Ovidiu Costin 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 2012-02-21 with Mathematics categories.
These are the proceedings of a one-week international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with: mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis, local dynamics: parabolic systems, small denominator questions, new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, a new family of resurgent functions related to knot theory.
The Cumulative Book Index
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Author :
language : en
Publisher:
Release Date : 1996
The Cumulative Book Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with American literature categories.
A world list of books in the English language.
Functional Analysis And Related Topics 1991
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Author : Hikosaburo Komatsu
language : en
Publisher: Springer
Release Date : 2006-11-15
Functional Analysis And Related Topics 1991 written by Hikosaburo Komatsu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
In these proceedings of the international conference held in Kyoto in memoryof the late Professor K saku Yosida, twenty six invited speakers display in their many facets of functional analysis and its applications in the research tradition of Yosida's school. Many of the topics are related tolinear and non-linear partial differential equations, including the Schr|dinger equations, the Navier-Stokes equations and quasilinear hyperbolic equations. Several of the papers are survey articles, the others are original (unpublished) and refereed research articles. Also included is a full listing of the publications of K. Yosida. Recommendedto students and research workers looking for a bird's-eye view of current research activity in functional analysis and its applications. FROM THE CONTENTS: K. Ito: Semigroups in probability theory.- T. Kato: Abstract evolution equations, linear and quasilinear, revisited.- J.L. Lions: Remarkson systems with incompletely given initial data and incompletely given part of the boundary.- H. Brezis: New energies for harmonic maps and liquid crystals.- D. Fujiwara: Some Feynman path integrals as oscillatory integrals over a Sobolev manifold.- M. Giga, Y. Giga, H. Sohr: L estimates for the Stokes system.- Y. Kawahigashi: Exactly solvable orbifold models and subfactors.- H. Kitada: Asymptotic completeness of N-body wave operators II. A new proof for the short-range case and the asymptotic clustering for the long-range systems. Y. Kobayashi, S. Oharu: Semigroups oflocally Lipschitzian operators and applications.- H. Komatsu: Operational calculus and semi-groups of operators.
International Books In Print
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Author :
language : en
Publisher:
Release Date : 1986
International Books In Print written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with English imprints categories.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2005
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Statistical Dynamics
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Author : R. F. Streater
language : en
Publisher: Imperial College Press
Release Date : 2009
Statistical Dynamics written by R. F. Streater and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Science categories.
How can one construct dynamical systems obeying the first and second laws of thermodynamics: mean energy is conserved and entropy increases with time? This book answers the question for classical probability (Part I) and quantum probability (Part II). A novel feature is the introduction of heat particles which supply thermal noise and represent the kinetic energy of the molecules. When applied to chemical reactions, the theory leads to the usual nonlinear reaction-diffusion equations as well as modifications of them. These can exhibit oscillations, or can converge to equilibrium.In this second edition, the text is simplified in parts and the bibliography has been expanded. The main difference is the addition of two new chapters; in the first, classical fluid dynamics is introduced. A lattice model is developed, which in the continuum limit gives us the Euler equations. The five Navier-Stokes equations are also presented, modified by a diffusion term in the continuity equation. The second addition is in the last chapter, which now includes estimation theory, both classical and quantum, using information geometry.