Stability of a Class of Fractional-Order Nonlinear Systems
In this letter stability analysis of fractional order nonlinear systems is studied. Some new sufficient conditions on the local (globally) asymptotic stability for a class of fractional order nonlinear systems with order 0<α<2 are proposed by using properties of Mittag-Leffler function and the...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/724270 |
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| Summary: | In this letter stability analysis of fractional order nonlinear systems is studied. Some new sufficient conditions on the local (globally) asymptotic stability for a class of fractional order nonlinear systems with order 0<α<2 are proposed by using properties of Mittag-Leffler function and the Gronwall inequality. And the corresponding stabilization criteria are also given. The numerical simulations of two systems with order 0<α<1 and two systems with order 1<α<2 illustrate the effectiveness and universality of the proposed approach. |
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| ISSN: | 1026-0226 1607-887X |