List of Titles

Authors: He, Xing , Li, Chuandong , Huang, Tingwen , Li, Chaojie , Huang, Junjian
Date: 2014
Type: Text , Journal article
Relation: IEEE Transactions on Neural Networks and Learning Systems Vol. 25, no. 4 (April 2014 2014), p. 824-830
Full Text: false
Reviewed:
Description: In this brief, based on the method of penalty functions, a recurrent neural network (NN) modeled by means of a differential inclusion is proposed for solving the bilevel linear programming problem (BLPP). Compared with the existing NNs for BLPP, the model has the least number of state variables and simple structure. Using nonsmooth analysis, the theory of differential inclusions, and Lyapunov-like method, the equilibrium point sequence of the proposed NNs can approximately converge to an optimal solution of BLPP under certain conditions. Finally, the numerical simulations of a supply chain distribution model have shown excellent performance of the proposed recurrent NNs.

Authors: Huang, Tingwen , Gao, David , Li, Chuandong , Xiao, MingQing
Date: 2012
Type: Text , Journal article
Relation: Journal of Global Optimization Vol. 52, no. 2 (2012), p. 281-290
Full Text: false
Reviewed:
Description: In this paper, we investigate the anticipating synchronization of a class of coupled chaotic systems through discontinuous feedback control. The stability criteria for the involved error dynamical system are obtained by means of model transformation incorporated with Lyapunov functional and linear matrix inequality. Also, we discuss the optimal designed controller based on the obtained criteria. The numerical simulation is presented to demonstrate the theoretical results. © 2011 Springer Science+Business Media, LLC.

Authors: He, Xing , Li, Chuandong , Huang, Tingwen , Li, Chaojie
Date: 2013
Type: Text , Journal article
Relation: IEEE Transactions on Neural Networks and Learning Systems Vol. 24, no. 6 (2013), p. 1001-1007
Full Text: false
Reviewed:
Description: This brief reports a retarded functional differential equation modeling tri-neuron network with time delay. The Bogdanov-Takens (B-T) bifurcation is investigated by using the center manifold reduction and the normal form method. We get the versal unfolding of the norm forms at the B-T singularity and show that the model can exhibit pitchfork, Hopf, homoclinic, and double-limit cycles bifurcations. Some numerical simulations are given to support the analytic results and explore chaotic dynamics. Finally, an algorithm is given to show that chaotic tri-neuron networks can be used for encrypting a color image. © 2012 IEEE.
Description: 2003011033

Authors: He, Xing , Li, Chuandong , Huang, Tingwen , Li, Chaojie
Date: 2012
Type: Text , Journal article
Relation: Nonlinear Analysis : Real World Applications Vol. 14, no. 2 (2012), p. 1191-1202
Full Text: false
Reviewed:
Description: In this paper, a delayed neural network model with unidirectional coupling is considered. Zero-Hopf bifurcation is studied by using the center manifold reduction and the normal form method for retarded functional differential equation. We get the versal unfolding of the norm form at the zero-Hopf singularity and show that the model can exhibit pitchfork, Hopf bifurcation, and double Hopf bifurcation is also found to occur in this model. Some numerical simulations are given to support the analytic results. © 2012 Elsevier Ltd. All rights reserved.

Authors: He, Xing , Li, Chuandong , Huang, Tingwen , Li, Chaojie
Date: 2014
Type: Text , Journal article
Relation: Neural Networks Vol. 51, no. May (2014), p. 17-25
Full Text: false
Reviewed:
Description: In this paper, using the idea of successive approximation, we propose a neural network to solve convex quadratic bilevel programming problems (CQBPPs), which is modeled by a nonautonomous differential inclusion. Different from the existing neural network for CQBPP, the model has the least number of state variables and simple structure. Based on the theory of nonsmooth analysis, differential inclusions and Lyapunov-like method, the limit equilibrium points sequence of the proposed neural networks can approximately converge to an optimal solution of CQBPP under certain conditions. Finally, simulation results on two numerical examples and the portfolio selection problem show the effectiveness and performance of the proposed neural network. © 2013 Elsevier Ltd.

Authors: Liu, Chao , Han, Qi , Li, Chuandong , Zhang, Qun
Date: 2013
Type: Text , Journal article
Relation: IET Control Theory and Applications Vol. 7, no. 9 (2013), p. 1294-1299
Full Text: false
Reviewed:
Description: This study investigates the reachability and controllability of linear switched impulsive systems in which impulsive component is independent of switching among different subsystems. Some crucial geometrical criteria are established. The authors present the fact that the reachable sets and the controllable sets may not be subspaces, if impulsive matrices are singular. While impulsive matrices are reversible, the reachable and controllable subspaces can be determined by two proposed subspace algorithms. The authors also point out that the reachable or controllable subspace is an invariant subspace of the considered systems. Finally, two simple corresponding examples are discussed to illustrate the correctness and effectiveness of the proposed theoretical results. © The Institution of Engineering and Technology 2013.
Description: C1

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