Fixed-Time Synchronization for Different Dimensional Complex Network Systems with Unknown Parameters via Adaptive Control | Zendy

Yude Ji | Zendy; Yunli Gong | Zendy; Shan Su | Zendy; Xiaoxue Bai | Zendy

Open Access

Fixed-Time Synchronization for Different Dimensional Complex Network Systems with Unknown Parameters via Adaptive Control

Author(s) -

Yude Ji,

Yunli Gong,

Shan Su,

Xiaoxue Bai

Publication year - 2021

Publication title -

complexity

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.447

H-Index - 61

eISSN - 1099-0526

pISSN - 1076-2787

DOI - 10.1155/2021/6680287

Subject(s) - settling time , synchronization (alternating current) , control theory (sociology) , computer science , complex network , lyapunov function , adaptive control , lyapunov stability , control (management) , control engineering , nonlinear system , step response , artificial intelligence , computer network , channel (broadcasting) , physics , quantum mechanics , world wide web , engineering

This article is related to the issue of fixed-time synchronization of different dimensional complex network systems with unknown parameters. Two suitable adaptive controllers and dynamic parameter estimations are proposed such that the complex network driving and response systems can be synchronized in the settling time. Based on fixed-time control theory and Lyapunov functional method, novel sufficient conditions are provided to guarantee the synchronization within the fixed times, and the settling times are explicitly evaluated, which are independent of the initial synchronization errors. Finally, a numerical example is given to illustrate the effectiveness of the proposed control algorithms.

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