Finite-Time Stability and Its Application for Solving Time-Varying Sylvester Equation by Recurrent Neural Network

2014 ◽  
Vol 42 (3) ◽  
pp. 763-784 ◽  
Author(s):  
Yanjun Shen ◽  
Peng Miao ◽  
Yuehua Huang ◽  
Yi Shen
Keyword(s):  
Neural Network ◽  
Recurrent Neural Network ◽  
Finite Time ◽  
Sylvester Equation ◽  
Time Varying ◽  
Time Stability ◽  
Finite Time Stability

A New Varying-Parameter Recurrent Neural-Network for Online Solution of Time-Varying Sylvester Equation

2018 ◽  
Vol 48 (11) ◽  
pp. 3135-3148 ◽  
Author(s):  
Zhijun Zhang ◽  
Lunan Zheng ◽  
Jian Weng ◽  
Yijun Mao ◽  
Wei Lu ◽  
...  
Keyword(s):  
Neural Network ◽  
Recurrent Neural Network ◽  
Sylvester Equation ◽  
Time Varying

Finite-time synchronization for fuzzy inertial cellular neural networks with time-varying delays via integral inequality

2021 ◽  
pp. 1-14
Author(s):  
Zhenjie Wang ◽  
Wenxia Cui ◽  
Wenbin Jin
Keyword(s):  
Neural Networks ◽  
Integral Inequality ◽  
Finite Time ◽  
Time Synchronization ◽  
Cellular Neural Networks ◽  
Time Varying ◽  
Time Stability ◽  
Finite Time Stability ◽  
Synchronization Problem ◽  
Inequality Techniques

This paper mainly considers the finite-time synchronization problem of fuzzy inertial cellular neural networks (FICNNs) with time-varying delays. By constructing the suitable Lyapunov functional, and using integral inequality techniques, several sufficient criteria have been proposed to ensure the finite-time synchronization for the addressed (FICNNs). Without applying the known finite-time stability theorem, which is widely used to solve the finite-time synchronization problems for (FICNNs). In this paper, the proposed method is relatively convenient to solve finite-time synchronization problem of the addressed system, this paper extends the research works on the finite-time synchronization of (FICNNs). Finally, numerical simulations illustrated verify the effectiveness of the proposed results.

scholarly journals Finite-Time Boundedness Control of Time-Varying Descriptor Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Xiaoming Su ◽  
Yali Zhi ◽  
Qingling Zhang
Keyword(s):  
Control Problem ◽  
Finite Time ◽  
State Feedback ◽  
Descriptor Systems ◽  
Necessary Condition ◽  
Time Varying ◽  
Time Stability ◽  
Finite Time Stability ◽  
Finite Time Boundedness ◽  
Sufficient And Necessary Condition

This paper mainly studies a control problem of finite-time boundedness of time-varying descriptor systems. Firstly, a sufficient and necessary condition of finite-time stability is given, then a sufficient condition of finite-time boundedness for time-varying descriptor systems is given. Secondly, we analyze the finite-time boundedness control problem and design the finite-time state feedback controller; the controller is given based on LMIs for time-varying descriptor systems and time-varying uncertain descriptor systems, respectively. Finally, a numerical example is given to prove the effectiveness of the method.

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