Bulletin of the Polish Academy of Sciences Technical Sciences · 2012 · 67 citations · 17 references
EngineeringMathematicsSystems EngineeringDynamical SystemsProcess ControlSystem DynamicsControl SystemsControl TheoryNumerical StabilityStabilityStability CriteriaStability TheoryArgument PrincipleAsymptotic StabilityContinuous-time Dynamical SystemsLinear Stability AnalysisNatural OrderStability Analysis Of Linear SystemsStability CriterionState Variables
Abstract. The stability problem of continuous-time linear systems described by the state equation consisting of n subsystems with different fractional orders of derivatives of the state variables has been considered. The methods for asymptotic stability checking have been given. The method proposed in the general case is based on the Argument Principle and it is similar to the modified Mikhailov stability criterion known from the stability theory of natural order systems. The considerations are illustrated by numerical examples.
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