Generalized Characteristics of First Order PDEs: Applications in Optimal Control and Differential Games
作者： Arik Melikyan
DOI:
关键词: Control theory 、 Optimal control 、 Method of characteristics 、 Differential (mathematics) 、 Mathematical analysis 、 Multiple integral 、 Simple (abstract algebra) 、 Hamiltonian (control theory) 、 Cone (topology) 、 Mathematics
摘要: 1 Method of Characteristics in Smooth Problems.- 2 Generalized Solutions and Singular First Order PDEs.- 3 PDEs Variation Calculus, Optimal Control Diffrential Games.- 4 Differential Games with Simple Motions on the Manifolds.- 5 Pursuit Approach Two-Dimensional Cone.- 6 a PDE Nonsmooth Hamiltonian.- 7 Shock Waves Related to 8 Surfaces Multiple Integral Variational 9 Appendix.
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