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Asymptotical Synchronization of Coupled Time-delay Partial Differential Systems via Pinning Control and Boundary Control


Affiliations
1 College of computer and communication, Hunan institute of engineering, Xiangtan，411104, China
 

This paper focus on the asymptotic synchronization issue of coupled time-delay PDSs via pinning control and boundary control. The asymptotic synchronization of PDSs with both node-delay and coupling delay is discussed firstly. Then the pinning controller and boundary controller are also presented in order to achieve the asymptotic synchronization. Further more, synchronization criteria are established by using the Lyapunov function method and inequality techniques. Obviously, it is an efficient control technique to combine the pinning control with the boundary control for the asymptotic synchronization of the PDSs. Finally, an example of digital simulation is used to elucidate the practicability and validity of our control method and the correctness of the theorem.

Keywords

Asymptotic Synchronization, Partial Differential Systems, Pinning Control, Boundary Control.
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  • Asymptotical Synchronization of Coupled Time-delay Partial Differential Systems via Pinning Control and Boundary Control

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Authors

He Hong
College of computer and communication, Hunan institute of engineering, Xiangtan，411104, China

Abstract


This paper focus on the asymptotic synchronization issue of coupled time-delay PDSs via pinning control and boundary control. The asymptotic synchronization of PDSs with both node-delay and coupling delay is discussed firstly. Then the pinning controller and boundary controller are also presented in order to achieve the asymptotic synchronization. Further more, synchronization criteria are established by using the Lyapunov function method and inequality techniques. Obviously, it is an efficient control technique to combine the pinning control with the boundary control for the asymptotic synchronization of the PDSs. Finally, an example of digital simulation is used to elucidate the practicability and validity of our control method and the correctness of the theorem.

Keywords


Asymptotic Synchronization, Partial Differential Systems, Pinning Control, Boundary Control.

References