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Li C.,Honghe University
International Journal of Simulation: Systems, Science and Technology | Year: 2016

Conjugate gradient method is an important method for solving large-scale unconstrained nonlinear optimization problems. In this paper, we take a little modification to CD conjugate gradient method and a modified CD conjugate gradient method is proposed. The presented method has sufficient descent properties. Under mild conditions, we prove that the method with strong Wolfe line search is globally convergent. At the end of this paper, we also present numerical experiments to show the efficiency of the proposed method. © 2016, UK Simulation Society. All rights reserved.


Yin Y.,East China Institute of Technology | Xu D.,East China Institute of Technology | Huang X.,Honghe University
Information Sciences | Year: 2011

This paper provides a continuation of the idea presented by Yin et al. [Yin et al., Some scheduling problems with general position-dependent and time-dependent learning effects, Inform. Sci. 179 (2009) 2416-2425]. For each of the following three objectives, total weighted completion time, maximum lateness and discounted total weighted completion time, this paper presents an approximation algorithm which is based on the optimal algorithm for the corresponding single-machine scheduling problem and analyzes its worst-case bound. It shows that the single-machine scheduling problems under the proposed model can be solved in polynomial time if the objective is to minimize the total lateness or minimize the sum of earliness penalties. It also shows that the problems of minimizing the total tardiness, discounted total weighted completion time and total weighted earliness penalty are polynomially solvable under some agreeable conditions on the problem parameters. © 2011 Elsevier Inc. All rights reserved.


Yang X.,Honghe University | Cao J.,Nanjing Southeast University | Lu J.,Nanjing Southeast University | Lu J.,Potsdam Institute for Climate Impact Research
Nonlinear Analysis: Real World Applications | Year: 2011

In this paper, the globally exponential synchronization of delayed complex dynamical networks with impulsive and stochastic perturbations is studied. The concept named "average impulsive interval" with "elasticity number" of impulsive sequence is introduced to get a less conservative synchronization criterion. By comparing with existing results, in which maximum or minimum of impulsive intervals are used to derive the synchronization criterion, the proposed synchronization criterion increases (or decreases) the impulse distances, which leads to the reduction of the control cost (or enhance the robustness of anti-interference) as the most important characteristic of impulsive synchronization techniques. It is discovered in our criterion that "elasticity number" has influence on synchronization of delayed complex dynamical networks but has no influence on that of non-delayed complex dynamical networks. Numerical simulations including a small-world network coupled with delayed Chua's circuit are given to show the effectiveness and less conservativeness of the theoretical results. © 2011 Elsevier Ltd. All rights reserved.


Sun J.,Honghe University
2nd International Workshop on Education Technology and Computer Science, ETCS 2010 | Year: 2010

Technology is making a significant impact on modern education. Computer technology has been proposed to serve education in many papers. However, more and more teachers are complaining that students spend more time on the Internet rather than learning. It is the most head-breaking problem to parent that children addict to the Internet. Many people are going to extreme on coping with the main negative impact of the computer technology on education. In this paper, the author will present the impact of computer technology on modern education first. Then we will focus on discussing the strategies about how to cope with the negative impact of computer technology on education. And some suggestions will be proposed in this paper. © 2010 IEEE.


He Y.,Honghe University
Mathematical Problems in Engineering | Year: 2013

Based on the F-expansion method with a new subequation, an improved F-expansion method is introduced. As illustrative examples, some new exact solutions expressed by the Jacobi elliptic function of the Kudryashov- Sinelshchikov equation are obtained. When the modulus m of the Jacobi elliptic function is driven to the limits 1 and 0, some exact solutions expressed by hyperbolic function and trigonometric function can also be obtained. The method is straightforward and concise and is promising and powerful for other nonlinear evolution equations in mathematical physics. © 2013 Yinghui He.


Yang X.,Honghe University | Cao J.,Nanjing Southeast University | Lu J.,Nanjing Southeast University
IEEE Transactions on Neural Networks and Learning Systems | Year: 2012

In this paper, a general model of coupled neural networks with Markovian jumping and random coupling strengths is introduced. In the process of evolution, the proposed model switches from one mode to another according to a Markovian chain, and all the modes have different constant time-delays. The coupling strengths are characterized by mutually independent random variables. When compared with most of existing dynamical network models which share common time-delay for all modes and have constant coupling strengths, our model is more practical because different chaotic neural network models can have different time-delays and coupling strength of complex networks may randomly vary around a constant due to environmental and artificial factors. By designing a novel Lyapunov functional and using some inequalities and the properties of random variables, we derive several new sufficient synchronization criteria formulated by linear matrix inequalities. The obtained criteria depend on mode-delays and mathematical expectations and variances of the random coupling strengths as well. Numerical examples are given to demonstrate the effectiveness of the theoretical results, meanwhile right-continuous Markovian chain is also presented. © 2012 IEEE.


Yang X.,Honghe University | Cao J.,Nanjing Southeast University | Lu J.,Nanjing Southeast University | Lu J.,Potsdam Institute for Climate Impact Research
IEEE Transactions on Circuits and Systems I: Regular Papers | Year: 2012

In this paper, the global exponential synchronization of delayed complex dynamical networks with nonidentical nodes and stochastic perturbations is studied. By combining adaptive control and impulsive control schemes, the considered network can be synchronized onto any given goal dynamics. The adaptive control is discontinuous and can overcome the unknown difference between dynamical nodes and goal system. As for the impulsive control, the concept named average impulsive interval with elasticity number of impulsive sequence is utilized to get less conservative synchronization criterion. Numerical simulations are given to show the effectiveness and less conservativeness of the theoretical results. © 2012 IEEE.


Yang X.,Honghe University | Zhu Q.,Ningbo University | Huang C.,Changsha University of Science and Technology
Nonlinear Analysis: Real World Applications | Year: 2011

Chaotic systems in practice are always influenced by some unknown factors, which may make the chaotic behavior completely different from that of unaffected system. In this paper, generalized lag-synchronization for a general class of coupled chaotic systems with mixed delays, uncertain parameters, as well as external perturbations is investigated. A simple but all-powerful robust adaptive controller is designed to achieve this goal. Based on Lyapunov stability theory, integral inequality and Barbalat lemma, rigorous proofs are given for the asymptotic stability of the error systems of the coupled systems with or without external perturbations. Sufficient conditions for inaccuracy or accuracy estimation of unknown parameters are also given. Moreover, the designed adaptive controller has better anti-interference capacity than those of references. Numerical simulations verify the effectiveness of the theoretical results. © 2010 Published by Elsevier Ltd. All rights reserved.


He B.,Honghe University
Nonlinear Analysis: Real World Applications | Year: 2010

In this paper, a partial differential equation is investigated by using the bifurcation theory and the method of phase portraits analysis, the existence of loop soliton, peakon, generalized compacton, smooth and non-smooth periodic waves, breaking kink and anti-kink waves is proved. In different regions of the parametric space, the sufficient conditions to guarantee the existence of the above solutions are given. In some conditions, exact parametric representations of these waves in explicit and implicit forms are obtained. © 2008 Elsevier Ltd. All rights reserved.


Zhu Q.,Ningbo University | Huang C.,Changsha University of Science and Technology | Yang X.,Honghe University
Nonlinear Analysis: Hybrid Systems | Year: 2011

In this paper we study the stability for a class of stochastic jumping bidirectional associative memory (BAM) neural networks with time-varying and distributed delays. To the best of our knowledge, this class of stochastic jumping BAM neural networks with time-varying and distributed delays has never been investigated in the literature. The main aim of this paper tries to fill the gap. By using the stochastic stability theory, the properties of a Brownian motion, the generalized Ito's formula and linear matrix inequalities technique, some novel sufficient conditions are obtained to guarantee the stochastically exponential stability of the trivial solution or zero solution. In particular, the activation functions considered in this paper are fairly general since they may depend on Markovian jump parameters and they are more general than those usual Lipschitz conditions. Also, the derivative of time delays is not necessarily zero or small than 1. In summary, the results obtained in this paper extend and improve those not only with/without noise disturbances, but also with/without Markovian jump parameters. Finally, two interesting examples are provided to illustrate the theoretical results. © 2010.

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