|
|
|
题名
|
作者
|
年代
|
出处
|
被引量
|
| 1 | DEGENERATE SEMI-GROUP METHODS FOR THE EXPONENTIAL STABILITY OF THE FIRST ORDER SINGULAR DISTRIBUTED PARAMETER SYSTEMS显示文摘Exponential stability of the first order singular distributed parameter systems is discussedin the light of degenerate semi-group methods,which is described by the abstract developing equationin Hilbert space.The necessary and sufficient conditions concerning the exponential stability of thefirst order singular distributed parameter systems are given. | Zhaoqiang GE Guangtian ZHU Dexing FENG | 2008 | Journal of Systems Science & Complexity2008，21，2： | 13 |
| 2 | MODELLING AND STABILITY ANALYSIS OF POPULATION GROWTH WITH SPATIAL DIFFUSION显示文摘In recent years, population growth models with spatial diffusion have beenextensively studied by many authors (for example, see [1-5]). In this paper, a populationgrowth model is considered with a discrete age-dependence and spatial diffusion, and isinvestigated in a semigroup framework. The spectral properties of the population oper-ator are given. On the basis of such spectral consideration, the asymptotic behaviourof the semigroup generated by the population operator is obtained. Finally, a nonlinearpopulation growth model is considered and its stability is analyzed. | W.L.CHAN FENG Dexing Department of Mathematice,the Chinese University of Hong Kong,Shatin,N.T,Hong Kong Institute oj Systems Science, Academia Sinica, Beijing 100080, China | 1993 | Systems Science and Mathematical Sciences1993，6，4： | 10 |
| 3 | Exact controllability for singular distributed parameter system in Hilbert space显示文摘Exact controllability of singular distributed parameter control system is discussed via functional analysis and the theory of generalized operator semi-group in Hilbert space. Necessary and sufficient conditions concerning the exact controllability are given. Relations between exact controllability and stability of singular distributed parameter system are specified. | GE ZhaoQiang ZHU GuangTian FENG DeXing | 2009 | Science in China(Series F)2009，52，11： | 9 |
| 4 | NONLINEAR BOUNDARY STABILIZATION OF WAVE EQUATIONS WITH VARIABLE COEFFICIENTS显示文摘The wave equation with variable coefficients with a nonlinear dissipative boundary feedbackis studied. By the Riemannian geometry method and the multiplier technique, it is shown thatthe closed loop system decays exponentially or asymptotically, and hence the relation betweenthe decay rate of the system energy and the nonlinearity behavior of the feedback function isestablished. | FENG SHAOJI FENG DEXING Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China. E-mail: fengshaoji0164@sina.comAcademy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China. E-mail: dxfeng@control.iss.ac.cn | 2003 | Chinese Annals of Mathematics,Series B2003，24，2： | 6 |
| 5 | BOUNDARY FEEDBACK STABILIZATION OF NONUNIFORM TIMOSHENKO BEAM WITH A TIPLOAD显示文摘The boundary stabilization problem of a Timoshenko beam attached with a mass at one end is studied. First, with linear boundary force feedback and moment control simultaneously at the end attached with the load, the energy corresponding to the closed loop system is proven to be exponentially convergent to zero as time t →∞. Then, some counterexamples are given to show that, in other casest the corresponding closed loop system is, in general, not stable asymtotically, let alone exponentially. | YAN QINGXU, FENG DEXING Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China. Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Be | 2001 | Chinese Annals of Mathematics,Series B2001，22，4： | 5 |
| 6 | Well-posed problem of nonlinear singular distributed parameter systems and nonlinear GE-semigroup显示文摘According to the well-posed problem of nonlinear singular distributed parameter systems,frst of all,the nonlinear GE-semigroup induced by a continuous(possibly nonlinear)operator is introduced in Banach space,which is a generalization of GE-semigroup(i.e.,generalized operator semigroup),and the properties of nonlinear GE-semigroup are discussed;and then the existence,uniqueness and constructive expression for the strong solution of nonlinear singular distributed parameter system are discussed by nonlinear GE-semigroup;at last,the exponential stability of nonlinear singular distributed parameter system is studied by using nonlinear GE-semigroup,functional analysis and operator theory in Banach space. | GE ZhaoQiang FENG DeXing | 2013 | Science China(Information Sciences)2013，56，12： | 3 |
| 7 | ON THE BOUNDARY STABILIZATION OF WAVE EQUATION WITH VARIABLE COEFFICIENT显示文摘This paper is concerned with the stabilization problem of wave equation withvariable coefficient under boundary feedback control. It is shown that the energy of thesystem decays exponentially if the feedback parameters are chosen in some domain. | ZHANG Weitao FENG Dexing(Institute of Systems Science, Academia Sinica, Beijing 100080, China) | 1997 | Systems Science and Mathematical Sciences1997，10，3： | 2 |
| 8 | Pulse controllability of singular distributed parameter systems显示文摘Dear editor, Controllability of singular distributed parameter systems has been been attracting attention from researchers for several decades. For example,approximate controllability has been considered in[1,2]. exact controllability has been studied in [2-4]. | Zhaoqiang GE Feng LIU Dexing FENG | 2019 | Science China(Information Sciences)2019，62，4： | 2 |
| 9 | Exact internal controllability for shallow shells显示文摘The internal control problem is considered, based on the linear displacement equations of shallow shell. It is shown, with some checkable geometric conditions on control region, that the undergoing shallow shell is exactly controllable by using Hilbert uniqueness method (HUM), piecewise multiplier method and Riemannian geometry method. Then some examples are given to show the assumed geometric conditions. | FENG Shaoji FENG Dexing | 2006 | Science in China(Series F)2006，49，5： | 2 |
| 10 | Genetic analysis and ecological niche modeling delimit species boundary of the Przewalski’s scorpion(Scorpiones: Buthidae) in arid Asian inland显示文摘Reliable delimitation of venomous scorpions is not only consequential to toxicological studies but also instructive to conservation and exploration of these important medical resources.In the present study,we delimited species boundary for the the Przewalski’s scorpion from arid northwest China through a combined approach employing phylogenetic analysis,ecological niche modeling and morphological comparison.Our results indicate that the Przewalski’s scorpion represent an independent taxonomic unit and should be recognized as full species rank,Mesobuthus przewalskii stat.nov.This species and the Chinese scorpion M.martensii represent the eastern members of the M.caucasicus species group which manifests a trans-Central Asia distribution across the Tianshan Mountains range.We also discussed the likely geographic barrier and climatic boundary that demarcate distributional range of the the Przewalski’s scorpion. | Xueshu Zhang Gaoming Liu Yu Feng Dexing Zhang Chengmin Shi | 2020 | Zoological Systematics2020，45，2： | 1 |
| 11 | Topological Degree for Monotone Operators 显示文摘 | LI Shujie | 1981 | Shu Xue Xue Bao1981，24，： | 1 |
| 12 | A REMARK ABOUT TARTAR'S LEMMA显示文摘Let ■Ω=Γ=Γ1+Γ2 (see Fig.1),meas(Γ1)>0,V={v|v∈H1(Ω),v|Γ1=0},and V0={ω|Δω=h in Ω,ω|Γ=0,(?)h∈V}.Let V0′=thedual space of V0,a(u,v)=∫Ω▽u·▽Δvdx,and F(v)=∫Ω fvdx+∫Γ2g1Δvds-∫Γg2(?)ds,f∈V′0,g1∈H-(1/2)(Γ2),g2∈H-(3/2)(Γ).Consider the variational problem:find u ∈ V such thata(u,v)=F(v),(?)v∈V0. (1)Using Tartar’s lemma,we prove that for problem (1) there exists a unique | ZHANG Weitao FENG Dexing (Institute of Systems Science,Academia Sinica,Beijing 100080,China) | 1992 | Systems Science and Mathematical Sciences1992，5，4： | 0 |
| 13 | ON STATE FEEDBACK AND POLE ASSIGNMENT OF THE SECOND ORDER COUPLED SINGULAR DISTRIBUTED PARAMETER SYSTEMS IN HILBERT SPACE显示文摘联合单个分布式的参数系统在 Hilbert 空格经由功能的分析和操作符理论被讨论的第二份订单的州的反馈和杆赋值,在哪个无限许多杆被改变。这个问题和答案的建设性的表示的答案被围住的线性操作员的概括的逆给。这研究为学习杆赋值和单个分布式的参数系统的稳定是理论上重要的。 | Zhaoqiang GE Guangtian ZHU Dexing FENG | 2011 | Journal of Systems Science & Complexity2011，24，3： | 0 |
| 14 | ASYMPTOTIC ANALYSIS OF THE OPTIMAL CONTROL OF AN ELASTODYNAMIC SYSTEM显示文摘Based on the idea of the reduction of optimal control systems in singularperturbations of Lions and a priori estimates in [4], we prove the convergence of theoptimal control, state and the cost function between a singular linear elastodynamic systemand a limit system. Our asymptotic analysis is applicable to the optimal control of flexiblerobotic manipulators. | ZHANG Weitao FENG Dexing Institute of Systems Science, Academia Sinica, Beijing 100080, China | 1993 | Systems Science and Mathematical Sciences1993，6，2： | 0 |
| 15 | GRADUAL CHANGE AND SUDDEN CHANGE显示文摘In this paper, we prove that, if 0<k<l, 2k=n, Ω R^n, u∈H^l(Ω), theSobolev inequality holds in limiting cases:LetWe consider the following problem:-△U_ρ~s(X)=W_ρ~s(x-b) in Ω, u_ρ~s(x)=0 on Γ.Let u_ρ(s)=max x∈Ω u_ρ~s(x). By(1), if s is increasing, the gradual change of W_ρ~s(x-b) givesrise to the sudden change of uρ(s). This sudden change occurs in the neighborhood ofs=2 for n≥2. | ZHANG Weitao FENG Dexing Institute of Systems Science, Academia Sinica, Beijing 100080, China | 1993 | Systems Science and Mathematical Sciences1993，6，3： | 0 |
| 16 | ANALYSIS OF BOUNDARY LAYER SINGULARITY OF A HYPERBOLIC EQUATION显示文摘Using the interpolation theory of a family of linear operators and the Sobolevspaces, we introduce a quantity J_∈~4(λ) which depicts the shape of the boundary layer, andthen analyze the boundary singularty of J_∈~4(λ). Our result shows that the thickness of theboundary layer (or the regular region of J_∈~4(λ)) is intrinsically related to the reciprocal ofthe order of the equation; the loss of boundary conditions between the singular solution andthe limit solution does not influence the thickness of the boundary layer, but it influencesthe process of increasing singularity of J_∈~4(λ); the more the loss of boundary conditions, thesmaller the region of increasing singularity. Finally, we give a definition of a neighborhoodof sudden change and propose an open problem regarding this neighborhood. | ZHANG Weitao FENG Dexing Institute of Systems Science, Academia Sinica, Beijing 100080, China | 1993 | Systems Science and Mathematical Sciences1993，6，4： | 0 |
您所在的机构暂未开通此部分的功能，请联系管理员