Nonlinear output control scheme for general decay synchronization of delayed neural networks with inertial term

2019 ◽  
Vol 29 (13) ◽  
pp. 4366-4383 ◽  
Author(s):  
Abdujelil Abdurahman ◽  
Haijun Jiang ◽  
Malika Sader
Keyword(s):  
Neural Networks ◽  
General Decay ◽  
Inertial Term ◽  
Output Control ◽  
Delayed Neural Networks ◽  
Control Scheme

scholarly journals Existence, Uniqueness, and Exponential Stability of Uncertain Delayed Neural Networks with Inertial Term: Nonreduced Order Case

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
M. Iswarya ◽  
R. Raja ◽  
Q. Zhu ◽  
M. Niezabitowski ◽  
J. Alzabut ◽  
...  
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
Sufficient Conditions ◽  
Inertial Term ◽  
Delayed Neural Networks ◽  
Neural Network System ◽  
Inertial Neural Networks ◽  
Inequality Techniques ◽  
The Stability ◽  
Necessary And Sufficient

In this work, we mainly focus on uncertain delayed neural network system with inertial term. Here, the existence, uniqueness, and exponential stability of inertial neural networks are derived without shifting the second order differential system into first order through substituting variables. Initially, we construct a proper Lyapunov–Krasovskii functional to investigate the stability of novel uncertain delayed inertial neural networks, which is different from the classical Lyapunov functional approach. By utilizing the Kirchhoff’s matrix tree theorem, Cauchy–Schwartz inequality, homeomorphism theorem, and some inequality techniques, the necessary and sufficient conditions are derived for the designed framework. Subsequently, to exhibit the strength of this outcome, we framed a quantitative example.

H∞ synchronization of delayed neural networks via event-triggered dynamic output control

2021 ◽  
Author(s):  
Yachun Yang ◽  
Zhengwen Tu ◽  
Liangwei Wang ◽  
Jinde Cao ◽  
Lei Shi ◽  
...  
Keyword(s):  
Neural Networks ◽  
Output Control ◽  
Delayed Neural Networks ◽  
Dynamic Output ◽  
Event Triggered

General decay projective synchronization of memristive competitive neural networks via nonlinear controller

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Malika Sader ◽  
Fuyong Wang ◽  
Zhongxin Liu ◽  
Zengqiang Chen
Keyword(s):  
Neural Networks ◽  
General Decay ◽  
Projective Synchronization ◽  
Communication Security ◽  
Activation Functions ◽  
Nonlinear Feedback ◽  
Nonlinear Controller ◽  
Control Scheme ◽  
Special Cases ◽  
Inequality Techniques

Abstract In this paper, the general decay projective synchronization of a class of memristive competitive neural networks with time delay is studied. Firstly, a nonlinear feedback controller is designed, which does not require any knowledge about the activation functions. Then, some new and applicable conditions dependent on the Lyapunov function and the inequality techniques are obtained to guarantee the general decay projective synchronization of the considered systems under the developed controller. Unlike other forms of synchronization, projective synchronization can improve communication security due to the scaling constant’s unpredictability. In addition, the polynomial synchronization, asymptotical synchronization, and exponential synchronization can be seen as the special cases of the general decay projective synchronization. Finally, a numerical example is given to demonstrate the effectiveness of the proposed control scheme.

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