Fixed-Time Stabilization of Multi-Weighted Complex Networks via Novel Adaptive Pinning Chatter-Free Control and Its Applications

Ren fangmin, Xiaoping Wang, Yangmin Li, zhanfei chen, Chen Wei, Zhigang Zeng

Abstract:

In this contribution, the problem of fixed-time
stabilization in multi-weighted complex networks via the novel
adaptive pinning nonchattering control based on the linear
matrix inequality (LMI) method, as well as its application to
image protection is addressed. Different from the traditional
methods, a novel fixed-time stable form is proposed and the
convergence time is estimated based on beta function. Next,
utilizing the designed continuous adaptive control strategy,
a sufficient LMI condition is presented to ensure the fixed-time
stabilization of multi-weighted complex networks. Furthermore,
the novel nonchattering adaptive pinning control protocol is given
to guarantee the fixed-time stabilization of the system only by
controlling a small number of nodes. Note that a scheme of how
to select the number of control nodes is put forward accordingly.
Finally, the effectiveness of the proposed method is verified by
the actual financial model. Meanwhile, a number of encryption
experiments are carried out based on three networks, and the
mean and variance of the encryption performance are calculated
to show the stability and robustness of image encryption different
from the existing research works.

Submission Number: 165