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| 1 | ON BOUNDEDNESS OF SOLUTIONS OFIMPULSIVE INTEGRO-DIFFERENTIAL SYSTEMSWITH FIXED MOMENTS OF IMPULSE EFFECTS显示文摘Several boundedness criteria for the impulsive integro-differential systems with fored moments of impulse effects are established, employing the method of Lyapunov functions and Razumikhin technique. | 傅希林 张立琴 | 1997 | Acta Mathematica Scientia1997，17，2： | 12 |
| 2 | p-moment stability of stochastic impulsive differential equations and its application in impulsive control显示文摘The exponential p-moment stability of stochastic impulsive differential equations is addressed. A new theorem to ensure the p-moment stability is established for the trivial solution of the stochastic impul- sive differential system. As an application of the theorem proposed, the problem of controlling chaos of Lorenz system which is excited by parameter white-noise excitation is considered using impulsive control method. Finally, numerical simulation results are given to verify the feasibility of our approach. | XU Wei NIU YuJun RONG HaiWu SUN ZhongKui | 2009 | Science China(Technological Sciences)2009，52，3： | 7 |
| 3 | EXISTENCE OF SOLUTIONS FOR MIXED MONOTONE IMPULSIVE VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACES显示文摘This paper studies the eaistence of solutions for mixed monotone impulsive Volterra integral equations on the infinite interval R^+ with an infinite number of moments of impulse effect in Banach spaces. By using the eded monotone iterative technique and Monch fixed point theorem, Some existence theorems of solutions and coupled minimal and maximal quasisolutions are obtained. Finally, an example is worked out. | 陈芳启 | 1998 | Acta Mathematica Scientia1998，18，4： | 6 |
| 4 | Stability of nonlinear impulsive stochastic systems with Markovian switching under generalized average dwell time condition显示文摘This paper examines the p-th moment globally asymptotic stability in probability and p-th moment stochastic input-to-state stability for a type of impulsive stochastic system with Markovian switching.By applying the generalized average dwell time approach, some novel sufficient conditions are obtained to ensure these stability properties. Furthermore, the coefficient of the Lyapunov function is allowed to be time-varying, which generalizes and improves the existing results. As corollaries, nonlinear restrictions on the drift and diffusion coefficients are used as substitutes for some previous conditions. Two examples are provided to illustrate the effectiveness of the theoretical results. | Xiaozheng FU Quanxin ZHU | 2018 | Science China(Information Sciences)2018，61，11： | 5 |
| 5 | AN ANALYSIS oF THE SHEAR FAILURE OF RIGID-LINEAR HARDENING BEAMS UNDER IMPULSIVE LOADING显示文摘A theoretical rigid-plastic analysis for the dynamic shear failure ofbeams under impulsive loading is presented when using a travelling plastic shear hingemodel which takes into account material strain hardening.The maximum dynamicshear strain and shear strain-rate can be predicted in addition to the permanenttransverse deflections and other parameters.The conditions for the three modesof shear failure,i.e.,excess deflection failure,excess shear strain failure and adia-batic shear failure are analyzed.The special case of an infinitesimally small plasticzone is discussed and compared with Nonaka’s solution for a rigid,perfectly plasticmaterial.The results can also be generalized to examine the dynamic response offibre-reinforced beams. | 王礼立 Norman Jones | 1996 | Acta Mechanica Sinica1996，12，4： | 4 |
| 6 | 在中国建立边缘型人格障碍临床诊断标准的必要性(英文) | 王兰兰 肖泽萍 | 2012 | 上海精神医学2012，24，04X： | 4 |
| 7 | Human immunodeficiency virus/acquired immune deficiency syndrome: Using drug from mathematical perceptive显示文摘Entry of acquired immune deficiency syndrome virus into the host immune cell involves the participation of various components of host and viral cell unit. These components may be categorized as attachment of the viral surface envelope protein subunit, gp120, to the CD4+ receptor and chemokine coreceptors, CCR5 and CXCR4, present on T cell surface. The viral fusion protein, gp41, the second cleaved subunit of Env undergoes reconfiguration and the membrane fusion reaction itself. Since the CD4+ T cell population is actively involved; the ultimate outcome of human immunodeficiency virus infection is total collapse of the host immune system. Mathematical modeling of the stages in viral membrane protein-host cell receptor-coreceptor interaction and the effect of antibody vaccine on the viral entry into the susceptible host cell has been carried out using as impulsive differential equations. We have studied the effect of antibody vaccination and determined analytically the threshold value of drug dosage and dosing interval for optimum levels of infection. We have also investigated the effect of perfect adherence of drug dose on the immune cell count in extreme cases and observed that systematic drug dosage of the immune cells leads to longer and improved lives. | Amar Nath Chatterjee Shubhankar Saha Priti Kumar Roy | 2015 | World Journal of Virology2015，4，4： | 4 |
| 8 | OSCILLATION OF IMPULSIVE HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION WITH DELAY显示文摘In this paper, oscillation properties of the solutions of impulsive hyperbolic equation with delay are investigated via the method of differential inequalities. Sufficient conditions for oscillations of the solutions are established. | Xue Qiutiao Wu Sunyong (Dept. of Computational Sci. and Math., Guilin University of Electronic Technology, Guilin 541004) Liu Anping (School of Math, and Physics, China University of Geosciences, Wuhan 430074) | 2006 | Annals of Differential Equations2006，22，3： | 3 |
| 9 | OSCILLATIONS OF SECOND ORDER DIFFERENTIAL EQUATIONS WITH IMPULSES显示文摘1IntroductionInthepaper,weconsiderthesecond-orderdiferentialequationswithimpulsesas(r(t)x′)′+f(t,x)=0,t≥t0,t≠0,k=1,2,…,x(t+k)... | 王根强 | 1998 | Annals of Differential Equations1998，14，2： | 3 |
| 10 | Tracking Synchronization of Networked Lagrangian Systems via Impulsive Control and Its Applications显示文摘An impulsive control scheme is proposed to investigate the tracking synchronization of ring and inline networked Lagrangian systems.Given a time-varying target trajectory,some algebraic synchronization criteria are derived to make the networked Lagrangian systems synchronize to the target trajectory.A distinctive feature of the proposed work is that the impulsive control scheme is used to investigate the highly nonlinear Lagrangian systems.By the impulsive control,each agent described by the Lagrangian system instantaneously interacts with its neighbors only at some discrete moments.Furthermore,the proposed control strategy requires only local coupling feedback for global convergence.As a direct application of the obtained theoretical results,the tracking synchronization of multiple 3-DOF mobile robots is discussed in detail and simulated.Simulation results verify the effectiveness of the proposed control strategy. | SHE Weiqiang MA Mihua | 2019 | Journal of Systems Science & Complexity2019，32，4： | 3 |
| 11 | Asymptotic Behavior of Forced Nonlinear Delay Differential Equations with Impulses | Jiaowan Luo Institute of Sciences. Changsha Railway University. Changsha 410075. P. R. China Jianhua Shen Department of Mathematics. Hunan Normal University. Changsha 410081. P. R. China | 2000 | Acta Mathematica Sinica,English Series2000，16，4： | 2 |
| 12 | The Monotone Iterative Technique and Periodic Boundary Value Problem for First Order Impulsive Functional Differential Equations | HE Zhi Min Department of Applied Mathematics and Applied Software.Central South University.Changsha 410083.P.R.China E-mail:hezhimin@mail.csu.edu.cnGE Wei Gao Department of Applied Mathematics Beijing Institute of Technology.Beijing 100081,P.R.China E-mail:gew@bit.edu.cn | 2002 | Acta Mathematica Sinica,English Series2002，18，2： | 2 |
| 13 | Optimal impulsive ellipse-to-circle coplanar rendezvous显示文摘The problem of ellipse-to-circle coplanar rendezvous with chaser spacecraft in low eccentricity was investigated in this paper.With reference frame established in the centroid of the target spacecraft,the process of ellipse-to-circle coplanar rendezvous was described by the relative equations based on cy-lindrical reference frame,and then the solutions and distributions of optimal rendezvous models of a kind of close ellipse-to-circle coplanar rendezvous were provided.The simulation results showed that the guidance law based on the optimal rendezvous model in this research has good performance,and that the distributions of optimal rendezvous models of ellipse-to-circle coplanar rendezvous with the chaser spacecraft in low eccentricity are similar,albeit with slight difference,to those of rendezvous between close circular orbits.The work in this paper is a useful extension to Prussing's optimal ren-dezvous theory between close circular orbits. | CHEN ChangQing XIE YongChun | 2009 | Science China(Technological Sciences)2009，52，5： | 2 |
| 14 | Robust reliable control for a class of time-varying uncertain impulsive systems显示文摘The problem of robust and reliable control design for linear uncertain impulsive systems with both timevarying norm-bounded parameter uncertainty and actuator failures was studied. The actuators are classified into two groups. One set of actuators susceptible to failures is possible to fail, the other set of actuators robust to failures is assumed never to fail. The outputs of the actuator failures are regarded as zero. The purpose is to design the state feedback controller such that, for all admissible uncertainties as well as actuator failures occurring among a prespecified subset of actuators, the plant remains asymptotically stable. A modified algebraic Riccati equation approach was developed to solve the problem addressed and a robust reliable control law was obtained. An numerical example was also offered to prove the effectiveness of the proposed method. | CHENG Xin-ming GUI Wei-hua GAN Zheng-jia | 2005 | Journal of Central South University of Technology2005，12，z1： | 2 |
| 15 | Halanay-type inequality with delayed impulses and its applications显示文摘In this study, some properties of a novel Halanay-type inequality that simultaneously contains impulses and delayed impulses are investigated. Two concepts with respect to average impulsive gain are proposed to describe hybrid impulsive strength and hybrid delayed impulsive strength. Then, using the obtained results, two stability criteria are derived for the linear systems with impulses and delayed impulses.It is found that the stability of impulsive systems is robust with respect to delayed impulses of which the magnitude strength is relatively small. Whereas, if the impulse strength is small, the time-delayed impulses can also promote the stability of unstable systems. Two numerical examples are employed to illustrate the efficiency of our results. | Yaqi WANG Jianquan LU Yijun LOU | 2019 | Science China(Information Sciences)2019，62，9： | 1 |
| 16 | Existence Results of Damped Second Order Impulsive Functional Differential Equations with Infinite Delay显示文摘Using the Monch fixed point theorem and progressive estimation method,we study the existence,uniqueness and regularity of mild solutions for damped second order impulsive functional differential equations with infinite delay in Banach spaces.The compactness assumption on associated family of operators and the impulsive term,some restrictive conditions on a priori estimation,noncompactness measure estimation and the impulsive term have not been used,our results are different from some known results.Finally,a noncompact semigroup example explains the obtained results. | Sheng-li XIE Yi-ming XIE | 2019 | Acta Mathematicae Applicatae Sinica2019，35，3： | 1 |
| 17 | New results on impulsive type inertial bidirectional associative memory neural networks显示文摘This paper is concerned with inertial bidirectional associative memory neural networks with mixed delays and impulsive effects.New and practical conditions are given to study the existence,uniqueness,and global exponential stability of anti-periodic solutions for the suggested system.We use differential inequality techniques to prove our main results.Finally,we give an illustrative example to demonstrate the effectiveness of our new results. | Chaouki AOUITI Mahjouba Ben REZEG Yang CAO | 2020 | Frontiers of Information Technology & Electronic Engineering2020，21，2： | 1 |
| 18 | New stability results of generalized impulsive functional differential equations显示文摘Dear editor,An impulsive functional differential equation(IFDE)is a hybrid dynamical system including both continuous-time dynamics exhibited via a functional differential equation and discrete-time dynamics which are shown by impulses.To the best of our knowledge,impulsive phenomena,which are presented in the form of instantaneous jump,exist in the fields of engineering and nature. | Chao LIU Xiaoyang LIU Zheng YANG Hongyu YANG Junjian HUANG | 2022 | Science China(Information Sciences)2022，65，2： | 1 |
| 19 | ON THE PARTIAL STABILITY OF IMPULSIVE DIFFERENTIAL EQUATIONS显示文摘1IntroductionandLemmasConsiderthefolowingdiferentialequationswithimpulsiveefects:x′=f(t,x),t≠τk,△x=Ik(x),t=τk,k=1,2,…,(1)wher... | 余国栋 | 1998 | Annals of Differential Equations1998，14，2： | 1 |
| 20 | A Study on Iterative Learning Control for Nonlinear Impulsive Fractional Differential Systems显示文摘This paper explores P-type learning laws for impulsive nonlinear fractional differential systems.In order to prove the convergence of the system in P-type learning laws,we refer to the various properties of fractional systems and inequality.The sufficient conditions of iterative learning control is established.Finally,we give an example to illustrate theoretical results. | LI Nana | 2020 | Wuhan University Journal of Natural Sciences2020，25，6： | 1 |
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