State Estimation for Fractional-Order Complex Dynamical Networks with Linear Fractional Parametric Uncertainty
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 sy...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/178718 |
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| author | Hongjie Li |
| author_facet | Hongjie Li |
| author_sort | Hongjie Li |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a8837cbe7ef34c0e9cd20724118460ce |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a8837cbe7ef34c0e9cd20724118460ce2025-02-03T05:53:32ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/178718178718State Estimation for Fractional-Order Complex Dynamical Networks with Linear Fractional Parametric UncertaintyHongjie Li0College of Mathematics and Information and Engineering, Jiaxing University, Zhejiang, 314001, ChinaThis 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.http://dx.doi.org/10.1155/2013/178718 |
| spellingShingle | Hongjie Li State Estimation for Fractional-Order Complex Dynamical Networks with Linear Fractional Parametric Uncertainty Abstract and Applied Analysis |
| title | State Estimation for Fractional-Order Complex Dynamical Networks with Linear Fractional Parametric Uncertainty |
| title_full | State Estimation for Fractional-Order Complex Dynamical Networks with Linear Fractional Parametric Uncertainty |
| title_fullStr | State Estimation for Fractional-Order Complex Dynamical Networks with Linear Fractional Parametric Uncertainty |
| title_full_unstemmed | State Estimation for Fractional-Order Complex Dynamical Networks with Linear Fractional Parametric Uncertainty |
| title_short | State Estimation for Fractional-Order Complex Dynamical Networks with Linear Fractional Parametric Uncertainty |
| title_sort | state estimation for fractional order complex dynamical networks with linear fractional parametric uncertainty |
| url | http://dx.doi.org/10.1155/2013/178718 |
| work_keys_str_mv | AT hongjieli stateestimationforfractionalordercomplexdynamicalnetworkswithlinearfractionalparametricuncertainty |