Multistability for Almost-Periodic Solutions of Takagi-Sugeno Fuzzy Neural Networks with Nonmonotonic Discontinuous Activation Functions and Time-varying Delays

2019 ◽  
pp. 1-1 ◽  
Author(s):  
Peng Wan ◽  
Dihua Sun ◽  
Min Zhao ◽  
Shuai Huang
Keyword(s):  
Neural Networks ◽  
Fuzzy Neural Networks ◽  
Time Varying ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Activation Functions ◽  
Discontinuous Activation ◽  
Fuzzy Neural ◽  
Discontinuous Activation Functions ◽  
Takagi Sugeno

scholarly journals Robust Almost Periodic Dynamics for Interval Neural Networks with Mixed Time-Varying Delays and Discontinuous Activation Functions

2013 ◽  
Vol 2013 ◽  
pp. 1-13
Author(s):  
Huaiqin Wu ◽  
Sanbo Ding ◽  
Xueqing Guo ◽  
Lingling Wang ◽  
Luying Zhang
Keyword(s):  
Neural Networks ◽  
Periodic Solution ◽  
Time Varying ◽  
Almost Periodic ◽  
Activation Functions ◽  
Robust Exponential Stability ◽  
Discontinuous Activation ◽  
Interval Neural Networks ◽  
Discontinuous Activation Functions ◽  
Global Robust Exponential Stability

The robust almost periodic dynamical behavior is investigated for interval neural networks with mixed time-varying delays and discontinuous activation functions. Firstly, based on the definition of the solution in the sense of Filippov for differential equations with discontinuous right-hand sides and the differential inclusions theory, the existence and asymptotically almost periodicity of the solution of interval network system are proved. Secondly, by constructing appropriate generalized Lyapunov functional and employing linear matrix inequality (LMI) techniques, a delay-dependent criterion is achieved to guarantee the existence, uniqueness, and global robust exponential stability of almost periodic solution in terms of LMIs. Moreover, as special cases, the obtained results can be used to check the global robust exponential stability of a unique periodic solution/equilibrium for discontinuous interval neural networks with mixed time-varying delays and periodic/constant external inputs. Finally, an illustrative example is given to demonstrate the validity of the theoretical results.

scholarly journals Existence and Global Attractivity of Pseudo Almost Periodic Solutions for Clifford-Valued Fuzzy Neural Networks with Proportional Delays

Mathematics ◽  
2021 ◽  
Vol 9 (24) ◽  
pp. 3306
Author(s):  
Wen Lv ◽  
Bing Li
Keyword(s):  
Neural Networks ◽  
Periodic Solutions ◽  
Global Attractivity ◽  
Fuzzy Neural Networks ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Proportional Delays ◽  
Pseudo Almost Periodic Solutions ◽  
Fuzzy Neural ◽  
Pseudo Almost Periodic

In this paper, Clifford-valued fuzzy neural networks with proportional delays, whose leakage term coefficients are also Clifford numbers, are considered. Based on the Banach fixed point theorem and differential inequality technique, we use a direct method to obtain the existence, uniqueness, and global attractivity of pseudo almost periodic solutions for the considered networks. Finally, we provide a numerical example to illustrate the feasibility of our results. Our results are new.

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