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Zhejiang, China

Peng L.,University of Science and Arts of Iran | Wang W.,Jiaxing University
Neurocomputing | Year: 2013

This paper is concerned with the existence and exponential stability of anti-periodic solutions for shunting inhibitory cellular neural networks (SICNNs) with time-varying delays in the leakage terms. Some sufficient conditions are established to ensure that all solutions of the networks converge exponentially to the anti-periodic solution, which are new and complement of previously known results. © 2013 Elsevier B.V.


Liu B.,Jiaxing University
Nonlinear Analysis: Real World Applications | Year: 2011

This paper is concerned with a class of Nicholson blowfly systems with multiple time-varying delays. By applying the method of the Lyapunov functional, some criteria are established for the existence and uniqueness of positive periodic solutions of the system. Moreover, an example is given to illustrate the main results. © 2011 Elsevier Ltd. All rights reserved.


Yang M.,Jiaxing University
Nonlinear Analysis: Real World Applications | Year: 2011

This paper is concerned with the generalized Nicholson's blowflies model with multiple time-varying delays which is defined on the nonnegative function space. By using some differential inequalities, some new results are established to ensure that all solutions of the model converge exponentially to zero equilibrium point. Moreover, an example is given to illustrate our main results. © 2011 Elsevier Ltd. All rights reserved.


Li H.,Jiaxing University
Journal of Physics A: Mathematical and Theoretical | Year: 2011

The paper investigates the cluster synchronization stability problem for a class of complex dynamical networks with stochastic nonlinearities and probabilistic interval time-varying delays. The stochastic nonlinearities are considered here to reflect more realistic dynamical behaviors of complex networks; the delay in this paper is assumed to be random and its probability distribution is known a priori. Based on the stochastic analysis techniques and the properties of the Kronecker product, delay-dependent cluster synchronization stability criteria are derived in the form of linear matrix inequalities which can be readily solved by using the LMI toolbox in MATLAB; the solvability of derived conditions depends on not only the size of the delay but also the probability of the delay taking values in some intervals. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed method. © 2011 IOP Publishing Ltd.


Shao J.,Jiaxing University
Nonlinear Analysis: Real World Applications | Year: 2012

In this paper, we present some sufficient conditions for the global exponential stability of the non-autonomous Nicholson-type delay systems. Moreover, we give an example to illustrate our main results. © 2011 Elsevier Ltd. All rights reserved.

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