Impulsive control strategy for the Mittag-Leffler synchronization of fractional-order neural networks with mixed bounded and unbounded delays
Ivanka Stamova, Gani Stamov
Abstract
<abstract> <p>In this paper we apply an impulsive control method to keep the Mittag-Leffler stability properties for a class of Caputo fractional-order cellular neural networks with mixed bounded and unbounded delays. The impulsive controls are realized at fixed moments of time. Our results generalize some known criteria to the fractional-order case and provide a design method of impulsive control law for the impulse free fractional-order neural network model. Examples are presented to demonstrate the effectiveness of our results.</p> </abstract>
Topics & Concepts
Impulse (physics)Bounded functionMathematicsSynchronization (alternating current)Control theory (sociology)Artificial neural networkFractional calculusOrder (exchange)Stability (learning theory)Control (management)Applied mathematicsComputer scienceTopology (electrical circuits)Mathematical analysisCombinatoricsPhysicsArtificial intelligenceMachine learningQuantum mechanicsEconomicsFinanceNeural Networks Stability and Synchronizationstochastic dynamics and bifurcationNonlinear Dynamics and Pattern Formation