On the continuity of optimal controls and value functions with respect to initial conditions

DOI10.1016/J.SYSCONLE.2012.08.004zbMath1255.49041OpenAlexW1964159052MaRDI QIDQ1932752

Stefan Ng Yow Thow, Peter E. Caines

Publication date: 21 January 2013

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2012.08.004

zbMATH Keywords

optimal controlvalue function

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Control problems involving ordinary differential equations (34H05)

Cites Work

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• On the value function for nonautonomous optimal control problems with infinite horizon
• Lipschitz continuity of the value function in optimal control
• Some properties of the value function and its level sets for affine control systems with quadratic cost
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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