The Hamilton Jacobi Equation For Optimal Control Problems with Discontinuous Time Dependence
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Publication:5346491
DOI10.1137/16M1073029zbMath1366.49003MaRDI QIDQ5346491
Piernicola Bettiol, Richard B. Vinter
Publication date: 24 May 2017
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Dynamic programming in optimal control and differential games (49L20) Nonsmooth analysis (49J52) Existence theories for optimal control problems involving ordinary differential equations (49J15) Existence theories for optimal control problems involving relations other than differential equations (49J21)
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Cites Work
- Unnamed Item
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- \(L^{\infty }\) estimates on trajectories confined to a closed subset
- Multifunctions of bounded variation
- Generalized viscosity solutions for Hamilton-Jacobi equations with time- measurable Hamiltonians
- Measurable viability theorems and the Hamilton-Jacobi-Bellman equation
- Discontinuous solutions of Hamilton-Jacobi-Bellman equation under state constraints
- Qualitative properties of trajectories of control systems: a survey
- Existence of neighboring feasible trajectories: applications to dynamic programming for state-constrained optimal control problems
- \(L^{\infty }\) estimates on trajectories confined to a closed subset, for control systems with bounded time variation
- Calculus of Dini subdifferentials of functions and contingent coderivatives of set-valued maps
- Semicontinuous Viscosity Solutions For Hamilton–Jacobi Equations With Convex Hamiltonians
- Optimization and nonsmooth analysis
- Optimal Control with State-Space Constraint I
- Remarks on Hamilton-Jacobi equations with measurable time-dependent Hamiltonians
- Variational Analysis
- Lower Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations
- A measurable upper semicontinuous viability theorem for tubes
- Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations: a guided visit
- Regularity of the Hamiltonian Along Optimal Trajectories
- Set-valued analysis
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
- Optimal control
