Finite time stability for Hadamard fractional-order systems
Omar Naifar, Abdellatif Ben Makhlouf, Lassaad Mchiri, Mohamed Rhaima
Abstract
This paper examines the properties of finite-time stability (FTS) in the sense of Hadamard fractional-order systems. The investigation utilizes the Hadamard fractional derivative to formulate and analyze these systems, establishing FTS criteria based on the Lyapunov theory. Additionally, this paper presents a comprehensive exploration of methodologies for finite-time stabilization and observer design in these classes of Hadamard fractional order systems . The theoretical advancements are reinforced by illustrative examples and case studies , which serve to demonstrate the effectiveness and applicability of the methodologies put forth.
Topics & Concepts
Hadamard transformStability (learning theory)Order (exchange)Fractional calculusMathematicsApplied mathematicsComputer scienceMathematical analysisBusinessFinanceMachine learningAdvanced Control Systems DesignFractional Differential Equations SolutionsExtremum Seeking Control Systems