A projection method for model reduction of bilinear dynamical systems

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A New Selection Operator for the Discrete Empirical Interpolation Method - Improved A Priori Error Bound and Extensions (2015, methodology): “These ideas have been recently extended to systems with bilinear [4, 6, 23] and quadratic nonlinearities [26, 7].”
Model Order Reduction for Linear and Nonlinear Systems: A System-Theoretic Perspective (2014, methodology): “The bilinearization MOR methods in [16,159] construct the matrices W , V , W = V for the reduced model by approximating the transfer function of the bilinear system.”
Computational Methods for Linear Matrix Equations (2016, background): “An approach that may be appropriate for large scale problems is implicitly suggested in [8].”
A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems (2015, unknown): “Possible choices for determining the global basis include balanced truncation for bilinear systems [41, 110], Krylov subspace techniques [24, 58, 192], and H2-optimal methods [36, 99, 229]—in principle, any of the methods discussed in section 3 can be generalized to apply to bilinear systems, and th”