Delay-Dependent and Order-Dependent Stability and Stabilization of Fractional-Order Linear Systems With Time-Varying Delay
Liping ChenRanchao WuYuan ChengYangQuan Chen
Abstract
Stability of fractional-order (FO) delayed systems remains a formidable problem. In this brief, asymptotic stability and stabilization of FO linear systems with time-varying structured uncertainties and time-varying delay are discussed. By employing FO Razumikhin theorem, two new delay-dependent and order-dependent stability criteria in form of LMI for FO nominal systems and FO uncertain sytems are first formulated, respectively. Moreover, state feedback controllers of stabilization are also derived with the help of the proposed stability criteria. The numerical simulation demonstrates the effectiveness of the theoretical formulation.
Metrics
Citation History
Topics
Related Documents
Novel Delay-Dependent and Order-Dependent Stability Criteria for Fractional-Order Linear Systems with Time-Varying Delay
Delay-dependent criteria for robust stability and stabilization of fractional-order time-varying delay systems
Order‐dependent and delay‐dependent conditions for stability and stabilization of fractional‐order time‐varying delay systems using small gain theorem
Delay-dependent and order-dependent stability and stabilization analysis of variable fractional order uncertain differential systems with time-varying delay via linear matrix inequality approach
Chunxiu WangXingde ZhouXianzeng ShiYitong Jin
Criteria for Stability and Stabilization of Variable Fractional-Order Uncertain Neutral Systems With Time-Varying Delay: Delay-Dependent Analysis
Zahra Sadat AghayanAlireza AlfiYashar MousaviAfef Fekih