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2013 Controllability Robustness of Linear Interval Systems with/without State Delay and with Unstructured Parametric Uncertainties
Shinn-Horng Chen, Jyh-Horng Chou
Abstr. Appl. Anal. 2013: 1-10 (2013). DOI: 10.1155/2013/346103

Abstract

The robust controllability problem for the linear interval systems with/without state delay and with unstructured parametric uncertainties is studied in this paper. The rank preservation problem is converted to the nonsingularity analysis problem of the minors of the matrix under discussion. Based on some essential properties of matrix measures, two new sufficient algebraically elegant criteria for the robust controllability of linear interval systems with/without state delay and with unstructured parametric uncertainties are established. Two numerical examples are given to illustrate the applications of the proposed sufficient algebraic criteria, where one example is also presented to show that the proposed sufficient condition for the linear interval systems having no state delay and no unstructured parametric uncertainties can obtain less conservative results than the existing ones reported recently in the literature.

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Shinn-Horng Chen. Jyh-Horng Chou. "Controllability Robustness of Linear Interval Systems with/without State Delay and with Unstructured Parametric Uncertainties." Abstr. Appl. Anal. 2013 1 - 10, 2013. https://doi.org/10.1155/2013/346103

Information

Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1291.93037
MathSciNet: MR3089534
Digital Object Identifier: 10.1155/2013/346103

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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