Multifunctions of bounded variation

DOI10.1016/J.JDE.2015.10.033zbMath1334.26016OpenAlexW2190443743MaRDI QIDQ898560

Richard B. Vinter

Publication date: 18 December 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.10.033

zbMATH Keywords

sensitivityoptimal controldifferential inclusionsbounded variation

Mathematics Subject Classification ID

Set-valued functions (26E25) Ordinary differential inclusions (34A60) Functions of bounded variation, generalizations (26A45) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (4)

\(L^{\infty }\) estimates on trajectories confined to a closed subset, for control systems with bounded time variation ⋮ The Hamilton Jacobi Equation For Optimal Control Problems with Discontinuous Time Dependence ⋮ Multifunctions of Bounded Variation, Preliminary Version I ⋮ Regularity of the Hamiltonian Along Optimal Trajectories

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Evolution problem associated with a moving convex set in Hilbert space
• Necessary conditions for free end-time, measurably time dependent optimal control problems with state constraints
• Improved sensitivity relations in state constrained optimal control
• SBV Regularity for Hamilton--Jacobi Equations with Hamiltonian Depending on $(t, x)$
• Estimates for Trajectories Confined to a Cone in $\mathbb{R}^{\lowercase{n}}$
• Regularity Properties of Solutions to the Basic Problem in the Calculus of Variations
• Variational Analysis
• Regularity of the Hamiltonian Along Optimal Trajectories

This page was built for publication: Multifunctions of bounded variation