TY - CHAP
T1 - From bellman to dijkstra
T2 - Set-oriented construction of globally optimal controllers
AU - Grüne, Lars
AU - Junge, Oliver
N1 - Publisher Copyright:
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020.
PY - 2020
Y1 - 2020
N2 - We review an approach for discretizing Bellman’s optimality principle based on piecewise constant functions. By applying this ansatz to a suitable dynamic game, a discrete feedback can be constructed which robustly stabilizes a given nonlinear control system. Hybrid, event and quantized systems can be naturally handled by this construction.
AB - We review an approach for discretizing Bellman’s optimality principle based on piecewise constant functions. By applying this ansatz to a suitable dynamic game, a discrete feedback can be constructed which robustly stabilizes a given nonlinear control system. Hybrid, event and quantized systems can be naturally handled by this construction.
UR - http://www.scopus.com/inward/record.url?scp=85090257529&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-51264-4_11
DO - 10.1007/978-3-030-51264-4_11
M3 - Chapter
AN - SCOPUS:85090257529
T3 - Studies in Systems, Decision and Control
SP - 265
EP - 294
BT - Studies in Systems, Decision and Control
PB - Springer
ER -