Finite time stability for Hadamard fractional-order systems

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.

Keywords

• Hadamard fractional derivative
• Lyapunov function
• Finite time stability