Overview
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
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Table of contents (16 chapters)
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Front Matter
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Back Matter
Keywords
- 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
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales
Authors: Svetlin G. Georgiev
DOI: https://doi.org/10.1007/978-3-030-76132-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-76131-8Published: 15 July 2021
Softcover ISBN: 978-3-030-76134-9Published: 16 July 2022
eBook ISBN: 978-3-030-76132-5Published: 15 July 2021
Edition Number: 1
Number of Pages: XIII, 882
Number of Illustrations: 44 b/w illustrations, 4 illustrations in colour
Topics: Analysis, Difference and Functional Equations, Dynamical Systems and Ergodic Theory, Vibration, Dynamical Systems, Control, Measure and Integration