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Author: Mohamed Ali Jendoubi Publisher: ISBN: Category : Languages : en Pages : 69
Book Description
Cette thèse comporte deux parties indépendantes. La première est consacrée à l'étude du comportement asymptotique en temps d'équations d'évolution avec nonlinéarite analytique. Dans le premier chapitre de cette partie on donne une nouvelle démonstration plus simple du théorème de l. Simon qui concerne la convergence des solutions globales bornées d'une équation de la chaleur avec nonlinéarite analytique. en exhibant une nouvelle fonction de Liapunov, on remarque que le deuxième théorème de convergence de Simon concernant une équation elliptique se démontre de la même façon que le premier théorème. les résultats qu'on montre sont plus généraux et s'appliquent par exemple pour des équations couplées de type gradient ou a des équations du 4eme ordre semi-lunaires. Dans le chapitre 2 on montre que les solutions globales et bornées d'un système de type gradient d'ordre 2 avec nonlinéarite analytique convergent vers des points d'équilibre. Dans le chapitre 3, on montre que les solutions globales bornées d'une équation des ondes avec dissipation linéaire et nonlinéarite analytique convergent vers des solutions du problème stationnaire associe. Une généralisation et des exemples d'application de ce résultat sont donnés à la fin du chapitre. Dans la deuxième partie, on établit la convergence exponentielle des solutions positives d'une équation de la chaleur non linéaire. ce résultat fait suite a un travail assez récent d'a. Haraux.
Author: Mohamed Ali Jendoubi Publisher: ISBN: Category : Languages : en Pages : 69
Book Description
Cette thèse comporte deux parties indépendantes. La première est consacrée à l'étude du comportement asymptotique en temps d'équations d'évolution avec nonlinéarite analytique. Dans le premier chapitre de cette partie on donne une nouvelle démonstration plus simple du théorème de l. Simon qui concerne la convergence des solutions globales bornées d'une équation de la chaleur avec nonlinéarite analytique. en exhibant une nouvelle fonction de Liapunov, on remarque que le deuxième théorème de convergence de Simon concernant une équation elliptique se démontre de la même façon que le premier théorème. les résultats qu'on montre sont plus généraux et s'appliquent par exemple pour des équations couplées de type gradient ou a des équations du 4eme ordre semi-lunaires. Dans le chapitre 2 on montre que les solutions globales et bornées d'un système de type gradient d'ordre 2 avec nonlinéarite analytique convergent vers des points d'équilibre. Dans le chapitre 3, on montre que les solutions globales bornées d'une équation des ondes avec dissipation linéaire et nonlinéarite analytique convergent vers des solutions du problème stationnaire associe. Une généralisation et des exemples d'application de ce résultat sont donnés à la fin du chapitre. Dans la deuxième partie, on établit la convergence exponentielle des solutions positives d'une équation de la chaleur non linéaire. ce résultat fait suite a un travail assez récent d'a. Haraux.
Author: Zhiyong Sun Publisher: Springer ISBN: 3319742655 Category : Technology & Engineering Languages : en Pages : 189
Book Description
The thesis presents new results on multi-agent formation control, focusing on the distributed stabilization control of rigid formation shapes. It analyzes a range of current research problems such as problems concerning the equilibrium and stability of formation control systems, or the problem of cooperative coordination control when agents have general dynamical models, and discusses practical considerations arising during the implementation of established formation control algorithms. In addition, the thesis presents models of increasing complexity, from single integrator models, to double integrator models, to agents modeled by nonlinear kinematic and dynamic equations, including the familiar unicycle model and nonlinear system equations with drift terms. Presenting the fruits of a close collaboration between several top control groups at leading universities including Yale University, Groningen University, Purdue University and Gwangju Institute of Science and Technology (GIST), the thesis spans various research areas, including robustness issues in formations, quantization-based coordination, exponential stability in formation systems, and cooperative coordination of networked heterogeneous systems.
Author: Alessio Figalli Publisher: Springer ISBN: 3319740423 Category : Mathematics Languages : en Pages : 224
Book Description
This book collects together lectures by some of the leaders in the field of partial differential equations and geometric measure theory. It features a wide variety of research topics in which a crucial role is played by the interaction of fine analytic techniques and deep geometric observations, combining the intuitive and geometric aspects of mathematics with analytical ideas and variational methods. The problems addressed are challenging and complex, and often require the use of several refined techniques to overcome the major difficulties encountered. The lectures, given during the course "Partial Differential Equations and Geometric Measure Theory'' in Cetraro, June 2–7, 2014, should help to encourage further research in the area. The enthusiasm of the speakers and the participants of this CIME course is reflected in the text.
Author: Juan R. Torregrosa Publisher: MDPI ISBN: 3039219405 Category : Mathematics Languages : en Pages : 494
Book Description
Solving nonlinear equations in Banach spaces (real or complex nonlinear equations, nonlinear systems, and nonlinear matrix equations, among others), is a non-trivial task that involves many areas of science and technology. Usually the solution is not directly affordable and require an approach using iterative algorithms. This Special Issue focuses mainly on the design, analysis of convergence, and stability of new schemes for solving nonlinear problems and their application to practical problems. Included papers study the following topics: Methods for finding simple or multiple roots either with or without derivatives, iterative methods for approximating different generalized inverses, real or complex dynamics associated to the rational functions resulting from the application of an iterative method on a polynomial. Additionally, the analysis of the convergence has been carried out by means of different sufficient conditions assuring the local, semilocal, or global convergence. This Special issue has allowed us to present the latest research results in the area of iterative processes for solving nonlinear equations as well as systems and matrix equations. In addition to the theoretical papers, several manuscripts on signal processing, nonlinear integral equations, or partial differential equations, reveal the connection between iterative methods and other branches of science and engineering.
Author: Krzysztof Galkowski Publisher: CRC Press ISBN: 9780203303405 Category : Technology & Engineering Languages : en Pages : 284
Book Description
Although research on general multidimensional systems theory has been developing rapidly in recent years, this is the first research text to appear on the subject since the early 1980s. The text describes the current state of the art nD systems and sets out a number of open problems, and gives several different perspectives on the subject. It presents a number of different solutions to major theoretical problems as well as some interesting practical results. The book comprises of a selection of plenary and other lectures given at The First International Workshop on Multidimensional (nD) Systems (NDS-98) held in 1998 in Poland, and is written by leading world specialists in the field.
Author: Donald Leo Thompson Publisher: World Scientific ISBN: 9789810233426 Category : Science Languages : en Pages : 764
Book Description
This volume describes many of the key practical theoretical techniques that have been developed to treat chemical dynamics problems in many-atom systems. It contains thorough treatments of fundamental theory and prescriptions for performing computations. The selection of methods, ranging from gas phase bimolecular reactions to complex processes in condensed phases, reflects the breadth of the field.The book is an excellent reference for proven and accepted methods as well as for theoretical approaches that are still being developed. It is appropriate for graduate students and other ?novices? who wish to begin working in chemical dynamics as well as active researchers who wish to acquire a wider knowledge of the field.
Author: Uwe Helmke Publisher: Springer Science & Business Media ISBN: 1447134672 Category : Technology & Engineering Languages : en Pages : 409
Book Description
This work is aimed at mathematics and engineering graduate students and researchers in the areas of optimization, dynamical systems, control sys tems, signal processing, and linear algebra. The motivation for the results developed here arises from advanced engineering applications and the emer gence of highly parallel computing machines for tackling such applications. The problems solved are those of linear algebra and linear systems the ory, and include such topics as diagonalizing a symmetric matrix, singular value decomposition, balanced realizations, linear programming, sensitivity minimization, and eigenvalue assignment by feedback control. The tools are those, not only of linear algebra and systems theory, but also of differential geometry. The problems are solved via dynamical sys tems implementation, either in continuous time or discrete time , which is ideally suited to distributed parallel processing. The problems tackled are indirectly or directly concerned with dynamical systems themselves, so there is feedback in that dynamical systems are used to understand and optimize dynamical systems. One key to the new research results has been the recent discovery of rather deep existence and uniqueness results for the solution of certain matrix least squares optimization problems in geomet ric invariant theory. These problems, as well as many other optimization problems arising in linear algebra and systems theory, do not always admit solutions which can be found by algebraic methods.
Author: Xavier Vives Publisher: MIT Press (MA) ISBN: 9780262220606 Category : Business & Economics Languages : en Pages : 446
Book Description
Applies a modern game-theoretic approach to develop a theory of oligopoly pricing. The text relates classic contributions to the field of modern game theory and discusses basic game-theoretic tools and equilibrium, paying particular attention to developments in the theory of supermodular games.
Author: Mohamed Ali Jendoubi
Author: Mohamed Ali Jendoubi
Author: Zhiyong Sun
Author: Alessio Figalli
Author: Juan R. Torregrosa
Author: Krzysztof Galkowski
Author: Donald Leo Thompson
Author: Uwe Helmke
Author: Peter Richard Wurman
Author: Xavier Vives
Author: