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Residuation of tropical series: Rationality issues
2011
IEEE Conference on Decision and Control and European Control Conference
Decidability of existence, rationality of delay controllers and robust delay controllers are investigated for systems with time weights in the tropical and interval semirings. Depending on the (max,+) or (min,+)-rationality of the series specifying the controlled system and the control objective, cases are identified where the controller series defined by residuation is rational, and when it is positive (i.e., when delay control is feasible). When the control objective is specified by a
doi:10.1109/cdc.2011.6160228
dblp:conf/cdc/BadouelBDK11
fatcat:v4demwacavbzzmnzpnnavriodq