Work

Anti-periodic switching dynamical system with application to chaotic system: A fixed-time fractional-order sliding mode control approach

Year: 2025

Type: article

Abstract: The paper presents an analysis of a new class anti-periodic switching dynamical system in chaotic power systems, incorporating a fixed-time control strategy. Theoretical insights, based on fixed point theorems (FPTs) and stability principles, are coupled with computational techniques to address system complexities. A robust control strategy utilizing fixed-time fractional-order sliding mode control is formulated to efficiently manage nonlinear dynamics . The Lyapunov proposition is employed to assess stability properties. The comparative analysis demonstrates the effectiveness of the approach in achieving trajectory tracking and fixed-time convergence goals. This interdisciplinary study bridges insights from chaotic power systems with control strategies, offering a valuable contribution to understanding and application in complex dynamical systems.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2025.101213

Authors: Saim Ahmed, Hasib Khan, Ahmad Taher Azar, Jehad Alzabut

Institutions: Prince Sultan University, Shaheed Benazir Bhutto University, Sheringal, Ostim Technical University, Asia International University

Language: English

Topic: Chaos control and synchronization

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,470

Funder: Prince Sultan University