Advances in Difference Equations · 2011 · 77 citations · 23 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsControl TheoryLaplace Transform MethodsPerturbation MethodsStabilityStability TheoryAsymptotic StabilityFractional Differential EquationsLaplace TransformLaplace Transform AnalysisNonlinear StabilityStability Analysis Of Linear Systems
The stability of -dimensional linear fractional differential systems with commensurate order and the corresponding perturbed systems is investigated. By using the Laplace transform, the asymptotic expansion of the Mittag-Leffler function, and the Gronwall inequality, some conditions on stability and asymptotic stability are given.
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