Criteria for Stability and Stabilization of Variable Fractional-Order Uncertain Neutral Systems With Time-Varying Delay: Delay-Dependent Analysis
Zahra Sadat Aghayan, Alireza Alfi, Yashar Mousavi, Afef Fekih
Abstract
This brief focuses on the stability and stabilization of variable fractional-order neutral systems (VFONS) with time-varying delays and time-varying structured uncertainties. Via the FO Lyapunov function, a new set of delay- and order-dependent criterion is proposed for both nominal and uncertain VFONS. The resultant criteria are formulated by designing a linear matrix inequality-based static output feedback control strategy in a set of linear matrix inequalities. The numerical simulations verify the theoretical formulation.
Topics & Concepts
Control theory (sociology)Stability (learning theory)MathematicsLinear matrix inequalityVariable (mathematics)Set (abstract data type)Stability criterionLyapunov functionFunction (biology)Matrix (chemical analysis)Order (exchange)Applied mathematicsMathematical optimizationComputer scienceControl (management)Nonlinear systemDiscrete time and continuous timeMathematical analysisStatisticsEvolutionary biologyQuantum mechanicsPhysicsMachine learningEconomicsComposite materialMaterials scienceArtificial intelligenceBiologyFinanceProgramming languageAdvanced Control Systems DesignFractional Differential Equations SolutionsStability and Control of Uncertain Systems