This paper examines theoretical results on finite-time synchronization and fixed-time synchronization analysis for delayed reaction–diffusion with nonidentical parameters. Using finite-time stability and fixed-time stability theorems, Lyapunov functional, feedback control laws, and techniques involving inequalities, serval novel assertions are made to achieve the finite/fixed-time synchronization of the proposed system. These results are new and complement existing works in the field. Finally, two simulation examples are provided to validate the proposed approaches.
Fixed‐time synchronization control in a delayed reaction–diffusion system
Reza Karimi, Hamid
2025-01-01
Abstract
This paper examines theoretical results on finite-time synchronization and fixed-time synchronization analysis for delayed reaction–diffusion with nonidentical parameters. Using finite-time stability and fixed-time stability theorems, Lyapunov functional, feedback control laws, and techniques involving inequalities, serval novel assertions are made to achieve the finite/fixed-time synchronization of the proposed system. These results are new and complement existing works in the field. Finally, two simulation examples are provided to validate the proposed approaches.File in questo prodotto:
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