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2013 State Estimation for Fractional-Order Complex Dynamical Networks with Linear Fractional Parametric Uncertainty
Hongjie Li
Abstr. Appl. Anal. 2013: 1-10 (2013). DOI: 10.1155/2013/178718

Abstract

This paper deals with state estimation problem for a class of fractional-order complex dynamical networks with parametric uncertainty. The parametric uncertainty is assumed to be of linear fractional form. Firstly, based on the properties of Kronecker product and the stability of fractional-order system, a sufficient condition is derived for robust asymptotic stability of linear fractional-order augmented system. Secondly, state estimation problem is then studied for the same fractional-order complex networks, where the purpose is to design a state estimator to estimate the network state through available output measurement, the existence conditions of designing state estimator are derived using matrix's singular value decomposition and LMI techniques. These conditions are in the form of linear matrix inequalities which can be readily solved by applying the LMI toolbox. Finally, two numerical examples are provided to demonstrate the validity of our approach.

Citation

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Hongjie Li. "State Estimation for Fractional-Order Complex Dynamical Networks with Linear Fractional Parametric Uncertainty." Abstr. Appl. Anal. 2013 1 - 10, 2013. https://doi.org/10.1155/2013/178718

Information

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

zbMATH: 1271.93149
MathSciNet: MR3035377
Digital Object Identifier: 10.1155/2013/178718

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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