Model Reduction by Moment Matching: Beyond Linearity A Review of the Last 10 Years
Alessandro Astolfi, Giordano Scarciotti, Joel D. Simard, Nicolás Faedo, John V. Ringwood
Abstract
We present a review of some recent contributions to the theory and application of nonlinear model order reduction by moment matching. The tutorial paper is organized in four parts: 1) Moments of Nonlinear Systems; 2) Playing with Moments: Time-Delay, Hybrid, Stochastic, Data-Driven and Beyond; 3) The Loewner Framework; 4) Applications to Optimal Control and Wave Energy Conversion.
Topics & Concepts
Moment (physics)Reduction (mathematics)Matching (statistics)Nonlinear systemModel order reductionLinearityComputer scienceMathematical optimizationControl (management)Control theory (sociology)Applied mathematicsMathematicsAlgorithmElectronic engineeringArtificial intelligenceEngineeringPhysicsStatisticsClassical mechanicsProjection (relational algebra)GeometryQuantum mechanicsModel Reduction and Neural NetworksNumerical methods for differential equationsPower System Optimization and Stability