Synchronization of Incommensurate Fractional-Order Chaotic Systems Based on Linear Feedback Control

• Type: Article in International Scientific Journal
• Date: 2022

Authors

Qi, F (Author) Other; Qu, JF (Author) Other; Chai, Y (Author) Other; Chen, LP (Author) Other; António Mendes Lopes (Author) FEUP

Journal

The Journal is awaiting validation by the Administrative Services.

Title: FRACTAL AND FRACTIONAL

Vol. 6

Final page: 221

ISSN: 2504-3110

Indexing

ISI Web of Knowledge - 0 Citations

Scopus

Other information

Authenticus ID: P-00W-EC3

DOI: 10.3390/fractalfract6040221

Abstract (EN): The dynamics and synchronization of fractional-order (FO) chaotic systems have received much attention in recent years. However, the research are focused mostly on FO commensurate systems. This paper addresses the synchronization of incommensurate FO (IFO) chaotic systems. By employing the comparison principle for FO systems with multi-order and the linear feedback control method, a sufficient condition for ensuring the synchronization of IFO chaotic systems is developed in terms of linear matrix inequalities (LMIs). Such synchronization condition relies just on the system parameters, and is easily verify and implemented. Two typical FO chaotic systems, named the IFO Genesio-Tesi system and Hopfied neural networks are selected to demonstrate the effectiveness and feasibility of the proposed method.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12