Fuzzy dynamic equations, dynamic inclusions, and optimal control problems on time scales / Svetlin G. Georgiev.
Georgiev, Svetlin, author.
2021
QA845 .G46 2021
Available Online

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Title Fuzzy dynamic equations, dynamic inclusions, and optimal control problems on time scales / Svetlin G. Georgiev.
Author Georgiev, Svetlin, author.
ISBN 9783030761325 (electronic bk.)
3030761320 (electronic bk.)
9783030761318
3030761312
DOI https://doi.org/10.1007/978-3-030-76132-5
Published Cham : Springer, [2021]
Copyright ©2021
Language English
Description 1 online resource : illustrations (some color)
Other Standard Identifiers 10.1007/978-3-030-76132-5 doi
Call Number QA845 .G46 2021
Dewey Decimal Classification 515/.39
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics text file
PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed August 3, 2021).
Available in Other Form Print version: 9783030761318
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1. Calculus of Fuzzy Functions
2. First Order Fuzzy Dynamic Equations
3. Second Order Fuzzy Dynamic Equations
4. Functional Fuzzy Dynamic Equations
5. Impulsive Fuzzy Dynamic Equations
6. The Lebesgue Integration. Lp Spaces. Sobolev spaces
7. First Order Dynamic Inclusions
8. Second Order Dynamic Inclusions
9. Boundary Value Problems for First Order Impulsive Dynamic Inclusions
10. Controllability, Bang-Bang Principle
11. Linear Time-Optimal Control
12. The Pontryagin Maximum Principle
13. Dynamic Programming
14. Weak Solutions and Optimal Control Problems for Some Classes Linear First Order Dynamic Systems
15. Nonlinear Dynamic Equations and Optimal Control Problems
16 Nonlinear Integro-Dynamic Equations and Optimal Control Problems
Appendix: Fuzzy Sets
Appendix: Set-Valued Maps
Appendix: Alaoglu's Theorem. Krein-Milman Theorem
Appendix: Mazur's Theorem
Index.

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