Abstract — Model approximation of multiple-inputs/multiple-outputs (MIMO) linear dynamical systems over a bounded frequency range can be expressed as an optimization problem in terms of the frequency-limited H2-norm. In this paper, a new formulation of the frequency-limited H2 model approximation error is presented and its gradient derived. It is then used in a descent algorithm which does not require to solve any Lyapunov equations but one eigenvalue problem for the full-order model. The efficiency of the method is illustrated through numerical benchmarks. I
A branch and bound algorithm is proposed to solve the H2-norm model reduction problem for continuous...
Abstract. We consider the optimal H2 model reduction for large scale multi-input multi-output system...
International audienceThis work studies the linear approximation of high-dimensional dynamical syste...
International audienceModel approximation of multiple-inputs/multiple-outputs (MIMO) linear dynamica...
Abstract: The poles/residues expression of the frequency-limited H2-norm is used to derive two upper...
AbstractWe consider the problem of approximating a p×m rational transfer function H(s) of high degre...
We consider the problem of approximating a p × m rational transfer function H(s) of high degree by a...
Abstract. The optimal H2 model reduction problem is of great importance in the area of dynamical sys...
We revisit the problem of approximating a multiple-input multiple-output $p imes m$ rational transfe...
In this paper, a new simple but yet efficient spectral expression of the frequency-limited H2-norm, ...
We propose a method for model reduction on a given frequency range, without the use of input and out...
This paper develops an interpolatory framework for weighted-H2 model reduction of MIMO dynamical sys...
The pole/residue parametrization has been traditionally used in single and multiple degree of freedo...
In this paper, the problem of approximating a medium-scale MIMO LTI dynamical system over a bounded ...
International audienceThis paper deals with the problem of computing a best stable rational L2 appro...
A branch and bound algorithm is proposed to solve the H2-norm model reduction problem for continuous...
Abstract. We consider the optimal H2 model reduction for large scale multi-input multi-output system...
International audienceThis work studies the linear approximation of high-dimensional dynamical syste...
International audienceModel approximation of multiple-inputs/multiple-outputs (MIMO) linear dynamica...
Abstract: The poles/residues expression of the frequency-limited H2-norm is used to derive two upper...
AbstractWe consider the problem of approximating a p×m rational transfer function H(s) of high degre...
We consider the problem of approximating a p × m rational transfer function H(s) of high degree by a...
Abstract. The optimal H2 model reduction problem is of great importance in the area of dynamical sys...
We revisit the problem of approximating a multiple-input multiple-output $p imes m$ rational transfe...
In this paper, a new simple but yet efficient spectral expression of the frequency-limited H2-norm, ...
We propose a method for model reduction on a given frequency range, without the use of input and out...
This paper develops an interpolatory framework for weighted-H2 model reduction of MIMO dynamical sys...
The pole/residue parametrization has been traditionally used in single and multiple degree of freedo...
In this paper, the problem of approximating a medium-scale MIMO LTI dynamical system over a bounded ...
International audienceThis paper deals with the problem of computing a best stable rational L2 appro...
A branch and bound algorithm is proposed to solve the H2-norm model reduction problem for continuous...
Abstract. We consider the optimal H2 model reduction for large scale multi-input multi-output system...
International audienceThis work studies the linear approximation of high-dimensional dynamical syste...