Shijiazhuang Mechanical Engineering College

Shijiazhuang, China

Shijiazhuang Mechanical Engineering College

Shijiazhuang, China

Time filter

Source Type

Gan Q.,Shijiazhuang Mechanical Engineering College
Nonlinear Dynamics | Year: 2012

In this paper, the problem of exponential synchronization is investigated for a class of stochastic perturbed chaotic neural networks with both mixed time delays and reaction-diffusion terms. By employing Lyapunov-Krasovskii functional and stochastic analysis approaches, an adaptive controller is designed to guarantee the exponential synchronization of proposed neural networks in the mean square. In particular, the mixed time delays in this paper synchronously consist of constant delay in the leakage term (i.e., "leakage delay"), discrete time-varying delay and distributed time-varying delay which are more general than those discussed in the previous literature. Furthermore, our synchronization criteria are easily verified and do not need to solve any linear matrix inequality. Therefore, the results obtained in this paper generalize and improve those given in the previous literature. Finally, the extensive simulations are performed to show the effectiveness and feasibility of the obtained method. © Springer Science+Business Media B.V. 2012.


Xu R.,Shijiazhuang Mechanical Engineering College
Nonlinear Dynamics | Year: 2012

A Holling type predator-prey model with stage structure for the predator and a time delay due to the gestation of the mature predator is investigated. By analyzing the characteristic equations, the local stability of a predator-extinction equilibrium and a coexistence equilibrium of the model is addressed and the existence of Hopf bifurcations at the coexistence equilibrium is established. By means of the persistence theory on infinite dimensional systems, it is proven that the system is permanent if the coexistence equilibrium is feasible. By using Lyapunov functionals and the LaSalle invariance principle, it is shown that the predator-extinction equilibrium is globally asymptotically stable when the coexistence equilibrium is not feasible, and sufficient conditions are derived for the global stability of the coexistence equilibrium. Numerical simulations are carried out to illustrate the main theoretical results. © 2011 Springer Science+Business Media B.V.


The issue of exponential synchronization for Cohen-Grossberg neural networks with mixed time-varying delays, stochastic noise disturbance and reaction-diffusion effects is investigated. An approach combining Lyapunov stability theory with stochastic analysis approaches and periodically intermittent control is taken to investigate this problem. The proposed criterion for exponential synchronization generalizes and improves those reported recently in the literature. This paper also presents an illustrative example and uses simulated results of this example to show the feasibility and effectiveness of the proposed scheme. © 2012 Elsevier Ltd.


This paper investigates the synchronization problem of generalized stochastic neural networks with mixed time-varying delays and reaction-diffusion terms using linear feedback control. Lyapunov stability theory combining with stochastic analysis approaches is employed to derive sufficient criteria ensuring the coupled chaotic generalized stochastic neural networks to be globally exponentially synchronized. The generalized neural networks model considered includes reaction-diffusion Hopfield neural networks, reaction-diffusion bidirectional associative memory neural networks, and reaction-diffusion cellular neural networks as its special cases. It is theoretically proven that these synchronization criteria are more effective than some existing ones. This paper also presents some illustrative examples and uses simulated results of these examples to show the feasibility and effectiveness of the proposed scheme. © 2012 Elsevier B.V.


Gan Q.,Shijiazhuang Mechanical Engineering College
International Journal of Machine Learning and Cybernetics | Year: 2013

In this paper, the synchronization problem for a class of competitive neural networks with different time scales and time-varying delay is investigated. A novel delay partitioning approach is developed to derive a delay-dependent condition guaranteeing the response system can be synchronized with the drive system. The design of the gain matrix of the linear feedback controller can be achieved by solving a linear matrix inequality. By constructing a novel Lyapunov-Krasovskii functional, which can guarantee the new synchronization conditions to be less conservative than those in the literature. This paper also presents an illustrative example and uses simulated results of this example to show the feasibility and effectiveness of the proposed scheme. © 2012 Springer-Verlag.


Xu R.,Shijiazhuang Mechanical Engineering College
Nonlinear Analysis: Real World Applications | Year: 2011

A stage-structured predatorprey system with Holling type-II functional response and time delay due to the gestation of predator is investigated. By analyzing the characteristic equations, the local stability of each of feasible equilibria of the system is discussed and the existence of a Hopf bifurcation at the coexistence equilibrium is established. By means of the persistence theory on infinite dimensional systems, it is proven that the system is permanent if the coexistence equilibrium exists. By using Lyapunov functionals and LaSalle invariant principle, it is shown that the trivial equilibrium is globally stable when both the predator-extinction equilibrium and the coexistence equilibrium are not feasible, and that the predator-extinction equilibrium is globally asymptotically stable if the coexistence equilibrium does not exist, and sufficient conditions are derived for the global stability of the coexistence equilibrium. Numerical simulations are carried out to illustrate the main theoretical results. © 2011 Elsevier Ltd. All rights reserved.


Xu R.,Shijiazhuang Mechanical Engineering College
Computers and Mathematics with Applications | Year: 2011

In this paper, an HIV-1 infection model with distributed intracellular delays is investigated, where the intracellular delays account for the time the target cells are contacted by the virus particles and the time the contacted cells become actively infected meaning that the contacting virions enter cells and the time the virus has penetrated into a cell and the time the new virions are created within the cell and are released from the cell, respectively. By analyzing the characteristic equations, the local stability of an infection-free equilibrium and a chronic-infection equilibrium of the model is established. By using suitable Lyapunov functionals and LaSalle's invariance principle, it is proved that if the basic reproduction ratio is less than unity, the infection-free equilibrium is globally asymptotically stable; and if the basic reproduction ratio is greater than unity, the chronic-infection equilibrium is globally asymptotically stable. © 2011 Elsevier Ltd. All rights reserved.


Meng M.,Shijiazhuang Mechanical Engineering College
Expert Systems with Applications | Year: 2014

This paper presents a new satisficing data envelopment analysis (DEA) model with credibility criterion, in which the inputs and outputs are assumed to be characterized by fuzzy variables with known membership functions. When the inputs and outputs are mutually independent trapezoidal fuzzy variables, we turn the proposed satisficing DEA model into its deterministic equivalent programming problem. For general fuzzy input and output variables, we design a hybrid particle swarm optimization (PSO) algorithm by integrating approximation method, neural network (NN) and PSO algorithm to solve the proposed DEA model, in which the approximation method is used to compute the credibility functions, NN is used to approximate the credibility functions, and PSO is used to find the optimal solution of the proposed DEA problem. Furthermore, the sensitivity analysis of the proposed model is discussed. Finally, we perform a number of numerical experiments to demonstrate the effectiveness of the hybrid PSO algorithm. The computational results show that the designed hybrid PSO algorithm outperforms the hybrid genetic algorithm (GA) in terms of runtime and solution quality. © 2013 Elsevier Ltd. All rights reserved.


Gan Q.,Shijiazhuang Mechanical Engineering College | Liang Y.,Shijiazhuang Mechanical Engineering College
Journal of the Franklin Institute | Year: 2012

This paper considers the synchronization problem of coupled chaotic neural networks with time delay in the leakage term and parametric uncertainties using sampled-data control. Motivated by the achievements from both the stability of neural networks with time delay in the leakage term and the synchronization issue of coupled chaotic neural networks with parametric uncertainties, Lyapunov stability theory combining with linear matrix inequalities is employed to derive sufficient criteria ensuring the coupled chaotic neural networks to be completely synchronous. This paper presents an illustrative example and uses simulated results of this example to show the feasibility and effectiveness of the proposed sampled-data controller. © 2012 The Franklin Institute. All rights reserved.


This study investigates the synchronisation problem of chaotic neural networks with unknown parameters and random time-varying delays. By introducing a stochastic variable with Bernoulli distribution, the neural networks with random time-varying delays is transformed into one with deterministic varying delays and stochastic parameters. A simple and robust adaptive sampled-data controller is designed such that the response system can be synchronised with a drive system with unknown parameters by using suitable parameter identification and the Lyapunov stability theory. The proposed synchronisation criteria are easily verified and do not need to solve any linear matrix inequality. Numerical simulations are carried out to demonstrate the effectiveness of the established synchronisation laws. © 2012 The Institution of Engineering and Technology.

Loading Shijiazhuang Mechanical Engineering College collaborators
Loading Shijiazhuang Mechanical Engineering College collaborators