Wu J.,Foshan University |
Sun Z.,CAS Academy of Mathematics and Systems Science
Automatica | Year: 2013
In this work, we investigate the observer-driven switching stabilization problem for a class of switched linear systems. By incorporating the switched observer presented in Sun, Wang, Xie, and Yu (2006) into the control loop, we construct an observer-driven path-wise switching law for the switched linear system. We prove that any stabilizable switched linear system is exponentially stable under the switching law, and establish a weak version of the separation principle for switching and observer design. © 2013 Elsevier Ltd. All rights reserved.
Chen J.,Foshan University
Computers and Mathematics with Applications | Year: 2011
We develop a multilevel augmentation method for solving nonlinear boundary value problems. We first describe the multilevel augmentation method for solving nonlinear operator equations of the second kind which has been proposed in our recent paper Chen et al. (2011) , and then apply it to solving the nonlinear two-point boundary value problems of second-order differential equations. The theoretical analysis of convergence order and computational complexity are proposed. Finally numerical experiments are presented to confirm the theoretical estimates and illustrate the efficiency of the method. © 2010 Elsevier Ltd. All rights reserved.
Chen J.,Foshan University
International Journal of Computer Mathematics | Year: 2012
In this study, we extend the multilevel augmentation method for Hammerstein equations established in Chen et al. [Fast multilevel augmentation methods for solving Hammerstein equations, SIAM J. Numer. Anal. 47 (2009), pp. 2321-2346] to solve nonlinear Urysohn integral equations. Under certain differentiability assumptions on the kernel function, we show that the method enjoys the optimal convergence order and linear computational complexity. Finally, numerical experiments are presented to confirm the theoretical results and illustrate the efficiency of the method. © 2012 Copyright Taylor and Francis Group, LLC.
Yin C.,South China Normal University |
He Y.,Guangdong Polytechnic Normal University |
Li H.,Guangzhou University |
Xie J.,Foshan University
Optics Express | Year: 2012
We study the solitons in parity-time symmetric potential in the medium with spatially modulated nonlocal nonlinearity. It is found that the coefficient of the spatially modulated nonlinearity and the degree of the uniform nonlocality can profoundly affect the stability of solitons. There exist stable solitons in low-power regionand unstable solitons in high-power region. In the unstable casesthe solitons exhibit jump from the original site to the next oneand they can continue the motion into the other lattices. The region of the stable soliton can be expanded by increasing the coefficient of the modulated nonlocality. Finallycritical amplitude of the imaginary part of the linear PT lattices is obtainedabove which solitons are unstable and decay immediately. © 2012 Optical Society of America.
Luo X.-P.,Foshan University
Cell Biochemistry and Function | Year: 2014
The pathogenesis of lung cancer is to be further investigated. Recent reports indicate that phospholipase C ε-1 (PLCE1) is a critical molecule involved in tumour growth. This study aims to investigate the role of PLCE1 in the regulation of apoptosis in lung cancer cells. In this study, the surgically removed non-small-cell lung cancer (NSCLC) tissue was collected from 36 patients. Single NSCLC cells were prepared from the tissue, in which immune cells of CD3+, CD11c+, CD19+, CD68+ and CD14+ were eliminated by magnetic cell sorting. The expression of PLCE1 and p53 was assessed by quantitative real-time polymerase chain reaction and Western blotting. Apoptosis of NSCLC cells was analysed by flow cytometry. The results showed that, in cultured NSCLC cells, high levels of PLCE1 and low levels p53 were detected; the two molecules showed a negative correlation (p<0.01). The addition of anti-PLCE1 antibody increased the expression of p53 in NSCLC cells, which increased the frequency of apoptotic NSCLC cells. We conclude that NSCLC cells express high levels of PLCE1, which suppresses the expression of p53 in NSCLC cells. PLCE1 can be a therapeutic target of NSCLC. © 2013 John Wiley & Sons, Ltd.