Nicat Aliyev

activity

20172022

most citedComputation of Stability Radii for Large-Scale Dissipative Hamiltonian Systems

2 citations · 2 across the 4 of their papers we have counts for

collaborators

5 papers

math.NA2022

Large-Scale Minimization of the Pseudospectral Abscissa

Nicat Aliyev, Emre Mengi

This work concerns the minimization of the pseudospectral abscissa of a matrix-valued function dependent on parameters analytically. The problem is motivated by robust stability an…

math.NA2021

Subspace Method for the Estimation of Large-Scale Structured Real Stability Radius

Nicat Aliyev

We consider the autonomous dynamical system $x^{'} = A x$ , with $A \in R^{n \times n}$ . This linear dynamical system is said to be asymptotically stable if all of the eigenvalu…

math.NA2019

A Subspace Framework for $H_{\infty}$ -Norm Minimization

Nicat Aliyev, Peter Benner, Emre Mengi +1

We deal with the minimization of the $H_{\infty}$ -norm of the transfer function of a parameter-dependent descriptor system over the set of admissible parameter values. Sub…

math.NA2018★ 2 cited

Computation of Stability Radii for Large-Scale Dissipative Hamiltonian Systems

Nicat Aliyev, Volker Mehrmann, Emre Mengi

A linear time-invariant dissipative Hamiltonian (DH) system x' = (J-R)Q x, with a skew-Hermitian J, an Hermitian positive semi-definite R, and an Hermitian positive definite Q, is…

math.NA2017

Large-Scale Computation of $L_{\infty}$ -Norms by a Greedy Subspace Method

Nicat Aliyev, Peter Benner, Emre Mengi +2

We are concerned with the computation of the $L_{\infty}$ -norm for an $L_{\infty}$ -function of the form $H (s) = C (s) D (s)^{- 1} B (s)$ , where the middle factor is t…