Exponential Stability of Impulsive Fractional Switched Systems With Time Delays
Danhua He, Liguang Xu
Abstract
In this brief, the stability issue is addressed for a class of impulsive fractional switched systems with time delays. By establishing fractional differential delay inequalities and combining with the properties of the Mittag-Leffler function, exponential stability conditions which allow some subsystems to be unstable are derived for the addressed systems. An example is provided to show the effectiveness of our results.
Topics & Concepts
Exponential stabilityStability (learning theory)Control theory (sociology)Exponential functionMathematicsClass (philosophy)Applied mathematicsFunction (biology)Computer scienceMathematical analysisPhysicsEvolutionary biologyArtificial intelligenceControl (management)BiologyMachine learningQuantum mechanicsNonlinear systemNonlinear Differential Equations AnalysisNeural Networks Stability and SynchronizationStability and Control of Uncertain Systems