Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales
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Beschreibung
The theory of dynamic equations has many interesting applications in control theory, mathematical economics, mathematical biology, engineering and technology. In some cases, there exists uncertainty, ambiguity, or vague factors in such problems, and fuzzy theory and interval analysis are powerful tools for modeling these equations on time scales. The aim of this book is to present a systematic account of recent developments; describe the current state of the useful theory; show the essential unity achieved in the theory fuzzy dynamic equations, dynamic inclusions and optimal control problems on time scales; and initiate several new extensions to other types of fuzzy dynamic systems and dynamic inclusions.
The material is presented in a highly readable, mathematically solid format. Many practical problems are illustrated, displaying a wide variety of solution techniques. The book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. Students in mathematical and physical sciences will find many sections of direct relevance.
The theory of dynamic equations has many interesting applications in control theory, mathematical economics, mathematical biology, engineering and technology. In some cases, there exists uncertainty, ambiguity, or vague factors in such problems, and fuzzy theory and interval analysis are powerful tools for modeling these equations on time scales. The aim of this book is to present a systematic account of recent developments; describe the current state of the useful theory; show the essential unity achieved in the theory fuzzy dynamic equations, dynamic inclusions and optimal control problems on time scales; and initiate several new extensions to other types of fuzzy dynamic systems and dynamic inclusions.
The material is presented in a highly readable, mathematically solid format. Many practical problems are illustrated, displaying a wide variety of solution techniques. The book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. Students in mathematical and physical sciences will find many sections of direct relevance.
Presents a systematic account of new developments in the theory of dynamic equations Illustrates a number of practical problems Contains over 50 pages of useful appendices
Autor*in
Svetlin G. Georgiev
Themen in »Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales«
shift operators Lebesgue delta integral Gronwall type inequality weak solutions for dynamic systems Bang-Bang principle the Pontryagin maximum principle adjoint linear dynamics Isaacs equations Sobolev spaces dynamic programming Alaoglu's theorem Krein-Milman theorem ordinary differential inclusions ordinary differential equations with impulses boundary value problems