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| 1 | Local Bifurcation Analysis of a Delayed Fractional-order Dynamic Model of Dual Congestion Control Algorithms显示文摘In this paper, we propose a delayed fractional-order congestion control model which is more accurate than the original integer-order model when depicting the dual congestion control algorithms. The presence of fractional orders requires the use of suitable criteria which usually make the analytical work so harder. Based on the stability theorems on delayed fractionalorder differential equations, we study the issue of the stability and bifurcations for such a model by choosing the communication delay as the bifurcation parameter. By analyzing the associated characteristic equation, some explicit conditions for the local stability of the equilibrium are given for the delayed fractionalorder model of congestion control algorithms. Moreover, the Hopf bifurcation conditions for general delayed fractional-order systems are proposed. The existence of Hopf bifurcations at the equilibrium is established. The critical values of the delay are identified, where the Hopf bifurcations occur and a family of oscillations bifurcate from the equilibrium. Same as the delay,the fractional order normally plays an important role in the dynamics of delayed fractional-order systems. It is found that the critical value of Hopf bifurcations is crucially dependent on the fractional order. Finally, numerical simulations are carried out to illustrate the main results. | Min Xiao Guoping Jiang Jinde Cao Weixing Zheng | 2017 | IEEE/CAA Journal of Automatica Sinica2017，4，2： | 5 |
| 2 | Stability and bifurcation control of a neuron system under a novel fractional-order PD controller显示文摘In this paper, we address the problem of bifurcation control for a delayed neuron system. By introducing a new fractional-order Proportional-Derivative(PD) feedback controller, this paper aims to control the stability and Hopf bifurcation through adjusting the control gain parameters. The order chosen in PD controller is different with that of the integer-order neuron system. Sufficient conditions for guaranteeing the stability and generating Hopf bifurcation are constructed for the controlled neuron system. Finally,numerical simulation results are illustrated to verify our theoretical derivations and the relationships between the onset of the Hopf bifurcation and the gain parameters are obtained. | SHI Shuo XIAO Min RONG LiNa ZHENG WeiXing TAO BinBin CHENG ZunShui XU FengYu | 2019 | Science China(Technological Sciences)2019，62，12： | 3 |
| 3 | A CONSTRUCTIVE PROOF OF THE INVERSION FORMULA FOR ZONAL FUNCTIONS ON SL(2, R)显示文摘A constructive proof is given for the inversion formula for zonal functions on SL(2, R). A concretely constructed sequence of zonal drictions are proved to satisfy the inversion formula obtained by Harish-Chandra for compact supported infinitely differentiable zonal functions.Making use of the property of this sequence somehow similar to that of approxination kernels,the authors deduce that the inversion formula is true for continuous zonal functions on SL(2, R)under some condition. The classical result can be viewed as a corollary of the results here. | XIAO CHANGBAI ZHENG WEIXING SU WEIYI (Department of Mathematics, Nanjing University Nanjing 210093, China.) | 1996 | Chinese Annals of Mathematics,Series B1996，17，1： | 3 |
| 4 | Highly Efficient Surface-Search Algorithm for Adaptive FIR Filtering显示文摘 | ZHANG Bin ZHENG Weixing FENG Dazheng | 2007 | Chinese Journal of Electronics2007，16，2： | 2 |
| 5 | About Spherical Functions on SL(2,R) | Shu Lisheng (Department of Mathematics,Anhui Normal University,Wuhu 241000,China)Zheng Weixing (Department of Mathematics,Nanjing University,Nanjing 210093,China) | 1997 | Acta Mathematica Sinica,English Series1997，13，2： | 2 |
| 6 | Exogenous nitric oxide improves seed germination in wheat against mitochondrial oxidative damage induced by high salinity显示文摘 | Chunfang Zheng Dong Jiang Fulai Liu Tingbo Dai Weicheng Liu Qi Jing Weixing Cao | 2009 | Environmental and Experimental Botany2009，，1： | 2 |
| 7 | [Corrigendum] Cidan inhibits liver cancer cell growth by reducing COX-2and VEGF expression and cell cycle arrest显示文摘 | Nan Li Donghai Zheng Jie Xue Weixing Guo Jie Shi Juxian Sun Chongde Lu Weida Zheng Mengchao Wu Shuqun Cheng | 2015 | Experimental and Therapeutic Medicine2015，，4： | 1 |
| 8 | Novel stabilityof cellular neural networks with interval time-varying de-lay显示文摘 | Hu Liang Gao Huijun Zheng Weixing | 2008 | Neural Network2008，21，： | 1 |
| 9 | A Verification of the Assumption of Anti - fatigue Design显示文摘 | Weixing Yao Bin Ye Liechun Zheng | 2001 | International Journal of Fatigue2001，23，： | 1 |
| 10 | On Local Integrated Cosine Functions显示文摘 | Shi Jin - e Zheng Weixing | 2001 | Northeast Math J2001，17，1： | 1 |
| 11 | A note to the concept of derivatives on local fields显示文摘 | Zheng Weixing Su Weiyi Jiang Huikun | 1990 | Approximation Theory and its Applications1990，，3： | 1 |
| 12 | Global robust stability for delayed neural networks with polytopic type uncertainties 显示文摘 | He Yong wang Qingguo Zheng Weixing | 2005 | Chaos Solitons & Fractals2005，26，5： | 1 |
| 13 | Stability criteria for stochastic singular systems with time-varying delays and uncertain parameters显示文摘Dear editor,It is well known that singular systems can better describe physical systems and they are widely used in chemical processes, microelectronic circuits, economic systems, and network control systems [1]. We can effectively model singular systems as stochastic singular systems when the structure of singular systems is unexpectedly altered by the environment. Several meaningful contributions were reported in [2–4]. | Shuanyun XING Feiqi DENG Weixing ZHENG | 2018 | Science China(Information Sciences)2018，61，11： | 1 |
| 14 | Weighted H∞ model reduction for linear switched systems with time-varying delay显示文摘 | Wu Ligang ZHENG Weixing | 2009 | Automatica2009，45，1： | 1 |
| 15 | A new method for complete stability analysis of of cellular neural networks with time delay 显示文摘 | Chen Wuhua Zheng Weixing | 2010 | IEEE Transactions on Neural Networks2010，21，7： | 1 |
| 16 | A new approach to stability analysis of discrete-time recurrent neural networks with time-varying delay 显示文摘 | SONG Chunwei GAO Huijun ZHENG Weixing | 2009 | Neurocomputing2009，72，1012： | 1 |
| 17 | Parametric Identification of Linear Systems Operating under Feedback Control 显示文摘 | Zheng Weixing | 2001 | IEEE Transactions on Circuits and Systems--I: Fundamental Theory and Applications2001，48，4： | 1 |
| 18 | Convolutive blind source separation based on joint block Toeplitzation and block-inner diagonalization 显示文摘 | XU Xianfeng FENG Dazheng ZHENG Weixing | 2010 | Signal Processing2010，90，： | 1 |
| 19 | AN ASYMPTOTIC ORDER OF FOURIER TRANSFORM ON SL(2,R)显示文摘In this paper, a better asymptotic order of Fourier transform on SL(2 ,R) is obtained by using classicalanalysis and Lie analysis comparing with that of [5]、 [6], and the Plancherel theorem on Cc2 (SL (2, R)) isalso obtained as an application. | Wang Xinsong and Zheng Weixing (Nanjing University, China) | 2003 | Analysis in Theory and Applications2003，19，1： | 1 |
| 20 | Corrosion behavior of chromium oxide based ceramics in supercritical water (SCW) environments显示文摘 | Ziqiang Dong Weixing Chen Wenyue Zheng Dave Guzonas | 2012 | Corrosion Science2012，，： | 1 |
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