A structured pseudospectral method for -norm computation of large-scale descriptor systems

P Benner, M Voigt - Mathematics of Control, Signals, and Systems, 2014 - Springer
In this paper, we discuss the problem of computing the H _ ∞ H∞-norm of transfer functions
associated to large-scale descriptor systems. We exploit the relationship between the H _ ∞ …

Algorithm 961: Fortran 77 subroutines for the solution of skew-Hamiltonian/Hamiltonian eigenproblems

P Benner, V Sima, M Voigt - ACM Transactions on Mathematical …, 2016 - dl.acm.org
Skew-Hamiltonian/Hamiltonian matrix pencils λ S—H appear in many applications,
including linear-quadratic optimal control problems, H∞-optimization, certain multibody …

[图书][B] On linear-quadratic optimal control and robustness of differential-algebraic systems

M Voigt - 2015 - books.google.com
This thesis considers the linear-quadratic optimal control problem for differential-algebraic
systems. In this first part, a complete theoretical analysis of this problem is presented. The …

Numerical linear algebra methods for linear differential-algebraic equations

P Benner, P Losse, V Mehrmann, M Voigt - Surveys in differential …, 2015 - Springer
A survey of methods from numerical linear algebra for linear constant coefficient differential-
algebraic equations (DAEs) and descriptor control systems is presented. We discuss …

[PDF][PDF] Performance improvement in computing the L-infinity norm of descriptor systems

V Sima - J Eng Sci Innov, 2023 - jesi.astr.ro
Efficient and realible algorithms for finding the L-infinity norm for both continuous-and
discrete-time descriptor systems have been recently developed. These algorithms exploit …

[PDF][PDF] Improving the Convergence of the Periodic QZ Algorithm.

V Sima, P Gahinet - ICINCO (1), 2019 - scitepress.org
The periodic QZ algorithm involved in the structure-preserving skew-Hamiltonian/
Hamiltonian algorithm is investigated. These are key algorithms for many applications in …

A rational H‐norm–based approach for the optimal design of seismically excited reinforced concrete frames

P Venini, P Ceresa - Earthquake Engineering & Structural …, 2018 - Wiley Online Library
A rational approach is presented for minimizing the dynamic response of reinforced concrete
framed structures forced by a seismic base acceleration. Reference is made to EC8 …

[PDF][PDF] Using Semi-implicit Iterations in the Periodic QZ Algorithm.

V Sima, P Gahinet, O Gusikhin, K Madani, J Zaytoon - ICINCO, 2020 - scitepress.org
The periodic QZ (pQZ) algorithm is the key solver in many applications, including periodic
systems, cyclic matrices and matrix pencils, and solution of skew-Hamiltonian/Hamiltonian …

Alternating implicit and semi-implicit iterations in the periodic QZ algorithm

V Sima, P Gahinet - Informatics in Control, Automation and Robotics: 17th …, 2022 - Springer
The periodic QZ (pQZ) algorithm is a basic tool in many applications, including periodic
systems, cyclic matrices and matrix pencils, and solution of skew-Hamiltonian/Hamiltonian …

A new semi-implicit approach for the periodic QZ algorithm

V Sima - 2020 24th International Conference on System Theory …, 2020 - ieeexplore.ieee.org
The periodic QZ (pQZ) algorithm is a basic tool in many applications, including periodic
systems, cyclic matrices and matrix pencils, and solution of skew-Hamiltonian/Hamiltonian …