Description: Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales by Svetlin G. Georgiev The theory of dynamic equations has many interesting applications in control theory, mathematical economics, mathematical biology, engineering and technology. show the essential unity achieved in the theory fuzzy dynamic equations, dynamic inclusions and optimal control problems on time scales; FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description 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. Back Cover 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. Table of Contents 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: Alaoglus Theorem. Krein-Milman Theorem.- Appendix: Mazurs Theorem.- Index. Feature 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 Details ISBN3030761312 Language English Year 2021 ISBN-10 3030761312 ISBN-13 9783030761318 Format Hardcover DOI 10.1007/978-3-030-76132-5 Publisher Springer Nature Switzerland AG Edition 1st Imprint Springer Nature Switzerland AG Place of Publication Cham Country of Publication Switzerland Pages 882 Publication Date 2021-07-15 UK Release Date 2021-07-15 Author Svetlin G. Georgiev Edition Description 1st ed. 2021 Alternative 9783030761349 DEWEY 515 Audience Professional & Vocational Illustrations 4 Illustrations, color; 44 Illustrations, black and white; XIII, 882 p. 48 illus., 4 illus. in color. We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:134250990;
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ISBN-13: 9783030761318
Book Title: Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control
Number of Pages: 882 Pages
Language: English
Publication Name: Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales
Publisher: Springer Nature Switzerland Ag
Publication Year: 2021
Subject: Mathematics
Item Height: 235 mm
Item Weight: 1502 g
Type: Textbook
Author: Svetlin G. Georgiev
Subject Area: Mechanical Engineering
Item Width: 155 mm
Format: Hardcover