Finite-Time Stabilization of Competitive Neural Networks With Time-Varying Delays

2021 ◽  
pp. 1-10
Author(s):  
Yin Sheng ◽  
Zhigang Zeng ◽  
Tingwen Huang
Keyword(s):  
Neural Networks ◽  
Finite Time ◽  
Time Varying ◽  
Finite Time Stabilization

scholarly journals Finite-time stabilization of discontinuous fuzzy inertial Cohen–Grossberg neural networks with mixed time-varying delays

2021 ◽  
Vol 26 (5) ◽  
pp. 759-780
Author(s):  
Fanchao Kong ◽  
Quanxin Zhu ◽  
Rathinasamy Sakthivel
Keyword(s):  
Neural Networks ◽  
Finite Time ◽  
Delayed Feedback Control ◽  
Control Law ◽  
Time Varying ◽  
Inertial Neural Networks ◽  
Inclusion Theory ◽  
Finite Time Stabilization ◽  
Delay Dependent ◽  
Stability Results

This article aims to study a class of discontinuous fuzzy inertial Cohen–Grossberg neural networks (DFICGNNs) with discrete and distributed time-delays. First of all, in order to deal with the discontinuities by the differential inclusion theory, based on a generalized variable transformation including two tunable variables, the mixed time-varying delayed DFICGNN is transformed into a first-order differential system. Then, by constructing a modified Lyapunov–Krasovskii functional concerning with the mixed time-varying delays and designing a delayed feedback control law, delay-dependent criteria formulated by algebraic inequalities are derived for guaranteeing the finite-time stabilization (FTS) for the addressed system. Moreover, the settling time is estimated. Some related stability results on inertial neural networks is extended. Finally, two numerical examples are carried out to verify the effectiveness of the established results.

scholarly journals Finite-Time Stabilization of Memristive Cohen-Grossberg Neural Networks with Time-Varying Delay

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-15
Author(s):  
Ge Li ◽  
Yaqiong Li ◽  
Zhaohui Yuan
Keyword(s):  
Neural Networks ◽  
Finite Time ◽  
Fixed Point Theory ◽  
Sufficient Conditions ◽  
Point Theory ◽  
Time Varying ◽  
Finite Time Stability ◽  
Time Varying Delay ◽  
Finite Time Stabilization ◽  
Varying Delay

In this paper, the finite-time stabilization problem for memristive Cohen-Grossberg neural networks with time-varying delay is discussed. By using the novel fixed point theory of set-valued maps, we establish the existence theorem of equilibrium point. In order to realize the finite-time stabilization, two different kinds of discontinuous state feedback controllers whether including time-varying delay are designed. Based on the extended Filippov framework and two different kinds of methods whether using finite-time stability theory, some novel sufficient conditions and the upper bound of the settling time for finite-time stabilization are proposed. Finally, two numerical examples are given to demonstrate the validity of theoretical results.

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