Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales

Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales

Georgiev, Svetlin G.

Springer Nature Switzerland AG

07/2021

882

Dura

Inglês

9783030761318

15 a 20 dias

1502

Descrição não disponível.
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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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