Work

Synchronization Control of Complex Spatio-Temporal Networks Based on Fractional-Order Hyperbolic PDEs with Delayed Coupling and Space-Varying Coefficients

Year: 2024

Type: article

Abstract: This paper studies synchronization behaviors of two sorts of non-linear fractional-order complex spatio-temporal networks modeled by hyperbolic space-varying PDEs (FCSNHSPDEs), respectively, with time-invariant delays and time-varying delays, including one delayed coupling. One distributed controller with space-varying control gains is firstly designed. For time-invariant delayed cases, sufficient conditions for synchronization of FCSNHSPDEs are presented via LMIs, which have no relation to time delays. For time-varying delayed cases, synchronization conditions of FCSNHSPDEs are presented via spatial algebraic LMIs (SALMIs), which are related to time delay varying speeds. Finally, two examples show the validity of the control approaches.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract8090525

Authors: Chengyan Yang, Jin Wang, Muwei Jian, Jiashu Dai

Institutions: Universiti Putra Malaysia, Linyi University, Shandong University of Finance and Economics, Anhui Polytechnic University

Language: English

Topic: Neural Networks Stability and Synchronization

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,069

OpenAlex ID: W4402366426

FWCI: 0.673

Cites: 53

Cited by: 4

Related to: 10