Balancing Skew-Hamiltonian/Hamiltonian Pencils - With Applications in Control Engineering

Vasile Sima

2016

Abstract

Badly-scaled matrix pencils could reduce the reliability and accuracy of computed results for many numerical problems, including computation of eigenvalues and deflating subspaces, which are needed in many key procedures for optimal and H∞ control, model reduction, spectral factorization, and so on. Standard balancing techniques can improve the results in many cases, but there are situations when the solution of the scaled problem is much worse than that for the unscaled problem. This paper presents a new structure-preserving balancing technique for skew-Hamiltonian/Hamiltonian matrix pencils, and illustrates its good performance in solving eigenvalue problems and algebraic Riccati equations for large sets of examples from well-known benchmark collections with difficult examples.

Paper Citation

in Harvard Style

Sima V. (2016). Balancing Skew-Hamiltonian/Hamiltonian Pencils - With Applications in Control Engineering . In Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-758-198-4, pages 177-184. DOI: 10.5220/0005981201770184

in Bibtex Style

@conference{icinco16,
author={Vasile Sima},
title={Balancing Skew-Hamiltonian/Hamiltonian Pencils - With Applications in Control Engineering},
booktitle={Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2016},
pages={177-184},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005981201770184},
isbn={978-989-758-198-4},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Balancing Skew-Hamiltonian/Hamiltonian Pencils - With Applications in Control Engineering
SN - 978-989-758-198-4
AU - Sima V.
PY - 2016
SP - 177
EP - 184
DO - 10.5220/0005981201770184