2005 · 12 citations · 0 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsControl Of Dynamical SystemsControl SystemsControl TheoryStabilityStability TheoryAsymptotic StabilityFractional Differential EquationsLinear Stability TheoryLyapunov Stability TheoryNonlinear Stability TheoryStability Analysis Of Linear Systems
In terms of Lyapunov's stability theory the asymptotic stability of a class of control systems described by the linear fractional differential equations with sequential derivatives was studied. The stability conclusion is derived by using the theorems of the Mittag-Leffler function in two parameters. The simulation examples and results prove the stability conclusion.