Chapter
Jul 7, 2014
On the Response of LTI Higher Order Differential-Algebraic Systems with Perturbed Coefficients1
Authors: P. Tzekis [email protected], E. Antoniou [email protected], and A. Pantelous [email protected]Author Affiliations
Publication: Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management
Abstract
We provide a new approach towards the analysis of the response of higher order systems whose coefficients are subject to norm bounded perturbations. Based on the magnitudes of the perturbations, we obtain bounds of the response of the system. The first order case - that is, state space or, more generally, descriptor systems - has been extensively studied in the past using a variety of approaches and many results have been produced. On the other hand, a very popular strategy to overcome the difficulty of high order systems is to reduce them to first order equivalents. Our approach utilizes the aforementioned techniques to study the response of polynomial systems under perturbations.
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Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management
Pages: 1039 - 1046
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© 2014 American Society of Civil Engineers.
History
Published online: Jul 7, 2014
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Alexander Technological Educational Institute of Thessaloniki, Department of Electronic Engineering. E-mail: [email protected]
Alexander Technological Educational Institute of Thessaloniki, Department of Information Technology. E-mail: [email protected]
University of Liverpool, Institute for Financial and Actuarial Mathematics and Institute for Risk and Uncertainty. E-mail: [email protected]
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