Discontinuous solutions to unbounded differential inclusions under state constraints. Applications to optimal control problems

DOI10.1023/A:1008774803081zbMath0956.34011MaRDI QIDQ1570035

Caterina Sartori, Monica Motta

Publication date: 26 October 2000

Published in: Set-Valued Analysis (Search for Journal in Brave)

zbMATH Keywords

Hamilton-Jacobi equationMayer problemunique viscosity solutionnonconvex and unbounded differential inclusion

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Ordinary differential equations with impulses (34A37) Ordinary differential inclusions (34A60) Control problems involving ordinary differential equations (34H05) Impulsive optimal control problems (49N25)

Related Items (5)

Some applications of Hamilton-Jacobi inequalities for classical and impulsive optimal control problems ⋮ Lack of BV bounds for impulsive control systems ⋮ Discontinuous solutions in the optimal control problems and their representation by singular space-time transformations ⋮ Hamilton-Jacobi inequalities in control problems for impulsive dynamical systems ⋮ Normality and nondegeneracy of the maximum principle in optimal impulsive control under state constraints

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