Stability of a Class of Fractional-Order Nonlinear Systems
2014 ◽
Vol 2014
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pp. 1-14
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Keyword(s):
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 order0<α<2are 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 order0<α<1and two systems with order1<α<2illustrate the effectiveness and universality of the proposed approach.
2014 ◽
Vol 2014
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pp. 1-8
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2020 ◽
Vol 0
(0)
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2018 ◽
Vol 56
◽
pp. 365-379
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2019 ◽
Vol 41
(15)
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pp. 4311-4321
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Keyword(s):
2020 ◽
Vol 65
(6)
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pp. 2686-2692
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