From Bellman to Dijkstra: Set-Oriented Construction of Globally Optimal Controllers

DOI10.1007/978-3-030-51264-4_11zbMath1454.93219OpenAlexW3015906656MaRDI QIDQ5131684

Oliver Junge, Lars Grüne

Publication date: 9 November 2020

Published in: Advances in Dynamics, Optimization and Computation (Search for Journal in Brave)

Full work available at URL: https://epub.uni-bayreuth.de/4720/1/FromBellmanToDijkstra.pdf

zbMATH Keywords

robust stabilizationnonlinear control systemBellman's optimality principle

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Robust stability (93D09) Optimality conditions for free problems in two or more independent variables (49K10)

Uses Software

• GAIO

Cites Work

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• A fast marching level set method for monotonically advancing fronts.
• To Sample or not to Sample: Self-Triggered Control for Nonlinear Systems
• Relaxing Dynamic Programming
• A set oriented approach to global optimal control

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