Model reduction of homogeneous-in-the-state bilinear systems with input constraints

an investigation of the types of text reduction in subtitling: a case study of the persian film gilaneh with english subtitles

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Model reduction of bilinear systems described by input-output difference equation

A class of single input single output bilinear systems described by their input–output difference equation is considered. A simple expression for the Volterra kernels of the system is derived in terms of the coefficients of difference equation. An algorithm, based on the singular value decomposition of a generalized Hankel matrix, is also developed. The algorithm is then used to find a reduced-...

Interpolation Methods for the Model Reduction of Bilinear Systems

Input Classes for Identification of Bilinear Systems

This paper asks what classes of input signals are sufficient in order to completely identify the input/output behavior of generic bilinear systems. The main results are that step inputs are not sufficient, nor are single pulses, but the family of all pulses (of a fixed amplitude but varying widths) do suffice for identification. Partially supported by NSF grants DMS-0504557 and DMS-0614371 Part...

Interpolation-Based H2-Model Reduction of Bilinear Control Systems

In this paper, we will discuss the problem of optimal model order reduction of bilinear control systems with respect to the generalization of the well-known H2norm for linear systems. We revisit existing first order necessary conditions for H2-optimality based on the solutions of generalized Lyapunov equations arising in bilinear system theory and present an iterative algorithm which, upon conv...