Fixed time synchronization of a class of chaotic systems based via the saturation control

In this paper, we discuss the fixed time synchronization of a class of chaotic systems based on the backstepping control with disturbances. A new and important fixed time stability theorem is presented. The upper bound estimate formulas of the settling time are also given which are different from the existing results in the literature. Based on the new fixed time stability theorem, a novel saturation controller for the fixed time synchronization a class of chaotic systems is proposed via the backstepping method. Finally, the new chaotic system is taken as an example to illustrate the applicability of the obtained theory.

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Fixed time synchronization of a class of chaotic systems based via the saturation control

Revista Mexicana de Física ◽

10.31349/revmexfis.67.041401 ◽

2021 ◽

Vol 67 (4 Jul-Aug) ◽

pp. 041401

Author(s):

Jiaojiao Fu ◽

Runzi Luo ◽

Meichun Huang ◽

Haipeng Su

Keyword(s):

Upper Bound ◽

Chaotic Systems ◽

Time Synchronization ◽

Fixed Time ◽

Stability Theorem ◽

Backstepping Method ◽

Time Stability ◽

Saturation Control ◽

New Chaotic System ◽

Upper Bound Estimate

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Fixed-Time Synchronization of Neural Networks with Discrete Delay

Mathematical Problems in Engineering ◽

10.1155/2020/7830547 ◽

2020 ◽

Vol 2020 ◽

pp. 1-9

Author(s):

Shuai Liu ◽

Chuan Chen ◽

Haipeng Peng

Keyword(s):

Neural Networks ◽

Upper Bound ◽

Time Synchronization ◽

Fixed Time ◽

Settling Time ◽

Stability Theorem ◽

Discrete Delay ◽

Time Stability ◽

Upper Bound Estimate ◽

Simple Feedback

In this paper, we establish a new fixed-time stability theorem, which provides a novel fixed-time stability criterion and a novel upper bound estimate formula for the settling time. Numerical simulations show that the upper bound estimate for the settling time in this paper is tighter than those given in the existing fixed-time stability theorems. By designing a simple feedback controller, the fixed-time synchronization of neural networks with discrete delay is investigated based on the fixed-time stability theorem established in this paper. A numerical example is included to validate the effectiveness of the obtained theoretical results.

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Fixed-time synchronization of coupled memristive neural networks with multi-links and application in secure communication

10.22541/au.161566909.97882460/v1 ◽

2021 ◽

Author(s):

Hui Zhao ◽

Aidi Liu ◽

Qingjie Wang ◽

Mingwen Zheng ◽

Chuan Chen ◽

...

Keyword(s):

Neural Networks ◽

Secure Communication ◽

Time Synchronization ◽

Fixed Time ◽

Stability Theorem ◽

Memristive Neural Networks ◽

Time Stability ◽

Communication Scheme ◽

Upper Bound Estimate ◽

Effective Conditions

This paper is devoted to investigating the issues of fixed-time synchronization of coupled memristive neural networks with multi-links (MCMNN). Based on the fixed-time stability criterion and the upper bound estimate formula for the settling time, we propose a secure communication scheme. The network with multi-links performance and coupled form increase the complexity of network topology and the unstable of systems, which improve security of communication in the aspect of encrypt the plaintext signal. We design a proper controller and build the Lyapunov function, several effective conditions are obtained to achieve the fixed-time synchronization of MCMNN. Moreover, the settling times can be estimated for fixed-time synchronization without depending on any initial values. Meanwhile, the plaintext signals can be recovered according to the fixed-time stability theorem. Finally, numerical simulations are given to verify the effectiveness of the theoretical results in fixed-time synchronization of MCMNN, and an example of a secure communication scheme is given to show the usability and superiority based on fixed-time stability theorem.

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