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Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator

Sebastian Peitz, Stefan Klus

2020Lecture notes in control and information sciences16 citationsDOIOpen Access PDF

Topics & Concepts

LinearizationInterpolation (computer graphics)MathematicsOperator (biology)Nonlinear systemDynamic mode decompositionConvergence (economics)Bilinear interpolationMathematical optimizationControl theory (sociology)Model predictive controlOptimal controlBurgers' equationApplied mathematicsPartial differential equationComputer scienceControl (management)Artificial intelligenceMathematical analysisEconomicsGeneChemistryMachine learningEconomic growthStatisticsRepressorBiochemistryTranscription factorQuantum mechanicsPhysicsMotion (physics)Model Reduction and Neural NetworksNuclear Engineering Thermal-HydraulicsComputational Fluid Dynamics and Aerodynamics