In this research, we attempt to use traditional Krylov subspace methods to obtain the reduced model of the original QBDAEs so that the input–output behaviours ...

In this research, we attempt to use traditional Krylov subspace methods to obtain the reduced model of the original QBDAEs so that the input–output behaviours ...

Abstract. Many nonlinear systems with nonlinearities of the form ?, ?, ?, ln? can be converted into quadratic-bilinear differential algebraic equations ...

Aug 16, 2016 · The goal is to approximate some of the generalised transfer functions that appear in the input–output representation of the non-linear system.

We propose a two sided moment matching method for model reduction of quadratic-bilinear descriptor systems. The goal is to approximate some of the ...

The goal is to approximate some of the generalised transfer functions that appear in the input–output representation of the non-linear system. Existing ...

We discuss the use of Krylov subspace methods with regard to the problem of model order reduction. The focus lies on bilinear control systems, ...

Standard projection techniques for bilinear systems utilize the generalized transfer functions of these subsystems to construct an interpolating approximation.

Quadratic-bilinearization: Convert the polynomial system into a QBDAE. SISO Quadratic-bilinear system: : Hessian tensor. Quadratic terms of x. States-input.

We will overcome this problem by generalizing Krylov-subspace methods known from linear systems to a more gen- eral class of bilinear and quadratic-bilinear ...