Dynamics of Periodic Delayed Planar Neural Networks
نویسنده
چکیده
Abstract: This paper formulates and studies a model of periodic delayed planar systems. The model can well describe many practical architecture of delayed neural networks, which is generation of some existing neural such as delayed cellular networks(DCN) and periodic delayed neural networks(PDNNS). The existence and global exponential stability of PDPNN’s periodic solutions are investigated, without assuming the smoothness, monotonicity and boundedness of the activation function.
منابع مشابه
Existence and Global Stability of Periodic Solution for Delayed Discrete High-order Hopfield-type Neural Networks
It is well known that studies on neural dynamical systems not only involve discussion of stability property, but also involve other dynamics behaviors such as periodic oscillatory, bifurcation and chaos. In many applications, the property of periodic oscillatory solutions are of great interest. For example, the human brain has been in periodic oscillatory or chaos state, hence it is of prime im...
متن کاملSome Remarks on "Almost Periodic Dynamics of a Class of Delayed Neural Networks with Discontinuous Activations"
We use the concept of the Filippov solution to study the dynamics of a class of delayed dynamical systems with discontinuous right-hand side, which contains the widely studied delayed neural network models with almost periodic self-inhibitions, interconnection weights, and external inputs. We prove that diagonal-dominant conditions can guarantee the existence and uniqueness of an almost periodi...
متن کاملNonnegative periodic dynamics of delayed Cohen-Grossberg neural networks with discontinuous activations
In this paper, we study the nonnegative periodic dynamics of the delayed Cohen–Grossberg neural networks with discontinuous activation functions and periodic interconnection coefficients, selfinhibitions, and external inputs. Filippov theory is utilized to study the viability, namely, the existence of the solution of the Cauchy problem. Under some conditions, the existence and the asymptotical ...
متن کاملForward kinematic analysis of planar parallel robots using a neural network-based approach optimized by machine learning
The forward kinematic problem of parallel robots is always considered as a challenge in the field of parallel robots due to the obtained nonlinear system of equations. In this paper, the forward kinematic problem of planar parallel robots in their workspace is investigated using a neural network based approach. In order to increase the accuracy of this method, the workspace of the parallel robo...
متن کاملJoint influence of leakage delays and proportional delays on almost periodic solutions for FCNNs
This paper deals with fuzzy cellular neural networks (FCNNs) with leakage delays and proportional delays. Applying the differential inequality strategy, fixed point theorem and almost periodic function principle, some sufficient criteria which ensure the existence and global attractivity of a unique almost periodic solution for fuzzy cellular neuralnetworks with leakage delays and p...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008