001438166 000__ 04014cam\a2200577\i\4500
001438166 001__ 1438166
001438166 003__ OCoLC
001438166 005__ 20230309004251.0
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001438166 008__ 210717s2021\\\\sz\a\\\\ob\\\\001\0\eng\d
001438166 019__ $$a1261365318$$a1266811453
001438166 020__ $$a9783030761325$$q(electronic bk.)
001438166 020__ $$a3030761320$$q(electronic bk.)
001438166 020__ $$z9783030761318
001438166 020__ $$z3030761312
001438166 0247_ $$a10.1007/978-3-030-76132-5$$2doi
001438166 035__ $$aSP(OCoLC)1260340798
001438166 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dOCLCO$$dEBLCP$$dN$T$$dDCT$$dOCLCF$$dUKAHL$$dOCLCQ$$dOCLCO$$dOCLCQ
001438166 049__ $$aISEA
001438166 050_4 $$aQA845$$b.G46 2021
001438166 08204 $$a515/.39$$223
001438166 1001_ $$aGeorgiev, Svetlin,$$eauthor.
001438166 24510 $$aFuzzy dynamic equations, dynamic inclusions, and optimal control problems on time scales /$$cSvetlin G. Georgiev.
001438166 264_1 $$aCham :$$bSpringer,$$c[2021]
001438166 264_4 $$c©2021
001438166 300__ $$a1 online resource :$$billustrations (some color)
001438166 336__ $$atext$$btxt$$2rdacontent
001438166 337__ $$acomputer$$bc$$2rdamedia
001438166 338__ $$aonline resource$$bcr$$2rdacarrier
001438166 347__ $$atext file
001438166 347__ $$bPDF
001438166 504__ $$aIncludes bibliographical references and index.
001438166 5050_ $$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.
001438166 506__ $$aAccess limited to authorized users.
001438166 520__ $$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.
001438166 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed August 3, 2021).
001438166 650_0 $$aDynamics.
001438166 650_0 $$aFuzzy mathematics.
001438166 650_0 $$aMathematical optimization.
001438166 650_6 $$aDynamique.
001438166 650_6 $$aMathématiques floues.
001438166 650_6 $$aOptimisation mathématique.
001438166 655_0 $$aElectronic books.
001438166 77608 $$iPrint version:$$z3030761312$$z9783030761318$$w(OCoLC)1246353691
001438166 852__ $$bebk
001438166 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-76132-5$$zOnline Access$$91397441.1
001438166 909CO $$ooai:library.usi.edu:1438166$$pGLOBAL_SET
001438166 980__ $$aBIB
001438166 980__ $$aEBOOK
001438166 982__ $$aEbook
001438166 983__ $$aOnline
001438166 994__ $$a92$$bISE