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010   $a3-030-76132-0
024 7 $a10.1007/978-3-030-76132-5
035   $a(CKB)4100000011983092
035   $a(MiAaPQ)EBC6678835
035   $a(Au-PeEL)EBL6678835
035   $a(PPN)269145486
035   $a(OCoLC)1260340798
035   $a(DE-He213)978-3-030-76132-5
035   $a(EXLCZ)994100000011983092
100   $a20210715d2021      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aFuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales /$fby Svetlin G. Georgiev
205   $a1st ed. 2021.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021.
215   $a1 online resource (882 pages)
225 1 $aMathematics and Statistics Series
311 08$a3-030-76131-2 
320   $aIncludes bibliographical references and index.
327   $a1. 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.
330   $aThe theory of dynamic equations has many interesting applications in control theory, mathematical economics, mathematical biology, engineering and technology. In some cases, there exists uncertainty, ambiguity, or vague factors in such problems, and fuzzy theory and interval analysis are powerful tools for modeling these equations on time scales. The aim of this book is to present a systematic account of recent developments; describe the current state of the useful theory; show the essential unity achieved in the theory fuzzy dynamic equations, dynamic inclusions and optimal control problems on time scales; and initiate several new extensions to other types of fuzzy dynamic systems and dynamic inclusions. The material is presented in a highly readable, mathematically solid format. Many practical problems are illustrated, displaying a wide variety of solution techniques. The book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. Students in mathematical and physical sciences will find many sections of direct relevance.
410  0$aMathematics and Statistics Series
606   $aMathematical analysis
606   $aDifference equations
606   $aFunctional equations
606   $aDynamical systems
606   $aMultibody systems
606   $aVibration
606   $aMechanics, Applied
606   $aMeasure theory
606   $aAnalysis
606   $aDifference and Functional Equations
606   $aDynamical Systems
606   $aMultibody Systems and Mechanical Vibrations
606   $aMeasure and Integration
615  0$aMathematical analysis.
615  0$aDifference equations.
615  0$aFunctional equations.
615  0$aDynamical systems.
615  0$aMultibody systems.
615  0$aVibration.
615  0$aMechanics, Applied.
615  0$aMeasure theory.
615 14$aAnalysis.
615 24$aDifference and Functional Equations.
615 24$aDynamical Systems.
615 24$aMultibody Systems and Mechanical Vibrations.
615 24$aMeasure and Integration.
676   $a531.11
700   $aGeorgiev$b Svetlin$01218802
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910492146703321
996   $aFuzzy dynamic equations, dynamic inclusions, and optimal control problems on time scales$92818446
997   $aUNINA