Nonlinear Analysis Differential Equations And Control
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Nonlinear Analysis, Differential Equations and Control
Author: F.H. Clarke
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
Recent years have witnessed important developments in those areas of the mathematical sciences where the basic model under study is a dynamical system such as a differential equation or control process. Many of these recent advances were made possible by parallel developments in nonlinear and nonsmooth analysis. The latter subjects, in general terms, encompass differential analysis and optimization theory in the absence of traditional linearity, convexity or smoothness assumptions. In the last three decades it has become increasingly recognized that nonlinear and nonsmooth behavior is naturally present and prevalent in dynamical models, and is therefore significant theoretically. This point of view has guided us in the organizational aspects of this ASI. Our goals were twofold: We intended to achieve "cross fertilization" between mathematicians who were working in a diverse range of problem areas, but who all shared an interest in nonlinear and nonsmooth analysis. More importantly, it was our goal to expose a young international audience (mainly graduate students and recent Ph. D. 's) to these important subjects. In that regard, there were heavy pedagogical demands placed upon the twelve speakers of the ASI, in meeting the needs of such a gathering. The talks, while exposing current areas of research activity, were required to be as introductory and comprehensive as possible. It is our belief that these goals were achieved, and that these proceedings bear this out. Each of the twelve speakers presented a mini-course of four or five hours duration.
Constructive, Experimental, and Nonlinear Analysis
Author: Michel A. Théra
language: en
Publisher: American Mathematical Soc.
Release Date: 2000
Presents 20 papers on different aspects of modern analysis including analytic and computational number theory, symbolic and numerical computation, theoretical and computational optimization, and recent development in non-smooth and functional analysis with applications to control theory. Applications in algorithmic number theory and tomography are also discussed. Many of the papers originated at a September 1999 workshop held at the University of Limoges. Among the topics are vector-valued perturbed minimization principles; rotundity related to Lipschitz separation; continued fractions, comparison algorithms, and fine structure constants; and codirectional compactness, metric regularity, and subdifferential calculus. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Method of Guiding Functions in Problems of Nonlinear Analysis
This book offers a self-contained introduction to the theory of guiding functions methods, which can be used to study the existence of periodic solutions and their bifurcations in ordinary differential equations, differential inclusions and in control theory. It starts with the basic concepts of nonlinear and multivalued analysis, describes the classical aspects of the method of guiding functions, and then presents recent findings only available in the research literature. It describes essential applications in control theory, the theory of bifurcations, and physics, making it a valuable resource not only for “pure” mathematicians, but also for students and researchers working in applied mathematics, the engineering sciences and physics.