loading
Papers

Research.Publish.Connect.

Paper

Paper Unlock

Author: Vasile Sima

Affiliation: National Institute for Research & Development in Informatics, Romania

ISBN: 978-989-758-198-4

Keyword(s): Deflating Subspaces, Generalized Eigenvalues, Numerical Methods, Skew-Hamiltonian/Hamiltonian Matrix Pencil, Software, Structure-preservation.

Related Ontology Subjects/Areas/Topics: Engineering Applications ; Industrial Engineering ; Informatics in Control, Automation and Robotics ; Intelligent Control Systems and Optimization ; Optimization Algorithms ; Performance Evaluation and Optimization ; Robotics and Automation ; Signal Processing, Sensors, Systems Modeling and Control

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.

PDF ImageFull Text

Download
CC BY-NC-ND 4.0

Sign In Guest: Register as new SciTePress user now for free.

Sign In SciTePress user: please login.

PDF ImageMy Papers

You are not signed in, therefore limits apply to your IP address 3.81.29.226

In the current month:
Recent papers: 100 available of 100 total
2+ years older papers: 200 available of 200 total

Paper citation in several formats:
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

@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},
}

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

Login or register to post comments.

Comments on this Paper: Be the first to review this paper.