检索结果-南通市图书馆

Differentiability of the C0-Semigroup and Failure of Riesz basis for a Mono-Tubular Heat Exchanger Equation with Output Feedback:a Case Study

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Differentiability of the C0-Semigroup and Failure of Riesz B...

A characterization of generator for multiresolution analysis with composite dilations

第二十三届中国控制会议

作者： Xi-Yin Liang and Bao-Zhu Guo Institute of System Sciences Academy of Mathematics and System Sciences, Academia Sinica Beijing 100080, P.R.China

＜正＞ In this article, we show that the C0 -semigroup associated with the closed-loop system of a mono-tubular heatexchanger equation with static output feedback studied in [System ＆ Control Letters, 50（2003）, 363-369] is differentiable after some finite time period. This result strengthes the main conclusion of the spectrum-determined growth condition in aforementioned paper. Moreover, it is shown that the system is not a riesz spectral system although the root subspace is complete in the energy Hilbert space. This is a sharp contrast result to results for certain second order hyperbolic systems.

关键词： Heat exchanger Riesz basis differentiable semigroup.

来源： cnki会议评论

在线全文

cnki会议

学校读者我要写书评

暂无评论

Applied Mathematics(A Journal of Chinese Universities) 2014年第3期29卷 317-328页

作者： SHI Xian-liang CHEN Jie College of Mathematics and Computer Science Key Laboratory of High Performance Computing and Stochastic Information Processing (HPCSIP) (Ministry of Education of China) Hunan Normal University

In this paper, we will introduce multiresolution analysis with composite dilations and give a characterization of generator for multiresolution analysis with composite dilations.

关键词： MRA generator Riesz basis composite dilation characterization.

Generalized Sampling in Shift Invariant Spaces with Frames

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2012年第9期28卷 1823-1844页

作者： Stefan ERICSSON Department of Engineering Sciences and Mathematics Lule University of Technology

Generalized sampling in a shift invariant subspace V of L2（R） is considered. A function f in V is processed with different filters Lm and then one tries to reconstruct f from the samples L^mf（j＇k）. We develop a theory of how to do this in the case when V possesses a shift invariant frame. Special attention is paid to the question： How to obtain dual frames with compact support？

关键词： Generalized sampling frames Riesz basis reproducing kernel shift invariant spaces

Boundary feedback stabilization of a Schrdinger equation interconnected with a heat equation

在线全文

学校读者我要写书评

暂无评论

控制理论与应用（英文版） 2013年第4期11卷 558-562页

作者： Junjun LIU Junmin WANG School of Mathematics Beijing Institute of Technology

In this paper, we study stabilization for a Schoedinger equation, which is interconnected with a heat equation via boundary coupling. A direct boundary feedback control is adopted. By a detailed spectral analysis, it is found that there are two branches of eigenvalues： one is along the negative real axis, and the other is approaching to a vertical line, which is parallel to the imagine axis. Moreover, it is shown that there is a set of generalized eigenfunctions, which forms a Riesz basis for the energy state space. Finally, the spectrum-determined growth condition is held and the exponential stability of the system is then concluded.

关键词： Schroedinger equation Heat equation Boundary control Stability Riesz basis

C*-Algebra BH(I) Consisting of Bessel Sequences in a Hilbert Space

在线全文

学校读者我要写书评

暂无评论

Journal of Mathematical Research with Applications 2015年第2期35卷 191-199页

作者： Zhihua GUO Maoren YIN Huaixin CAO College of Mathematics and Information Science Shaanxi Normal University Department of Mathematics Junior College of Xinzhou Teachers University

Let H be a separable Hilbert space, B H(I), B(H) and K(H) the sets of all Bessel sequences {f i}i∈I in H, bounded linear operators on H and compact operators on H, respectively. Two kinds of multiplications and involutions are introduced in light of two isometric linear isomorphisms αH : B H(I) → B(?2), β : B H(I) → B(H), respectively, so that B H(I) becomes a unital C*-algebra under each kind of multiplication and involution. It is proved that the two C*-algebras(B H(I), ?, ?) and(B H(I), ·, *) are *-isomorphic. It is also proved that the set F H(I) of all frames for H is a unital multiplicative semi-group and the set R H(I) of all riesz bases for H is a self-adjoint multiplicative group, as well as the set K H(I) := β-1(K(H)) is the unique proper closed self-adjoint ideal of the C*-algebra B H(I).

关键词： C *-algebra Bessel sequence Hilbert space frame Riesz basis

Stability analysis for an Euler-Bernoulli beam under local internal control and boundary observation

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

控制理论与应用（英文版） 2008年第4期6卷 341-350页

作者： Junmin WANG Baozhu GUO Kunyi YANG Department of Mathematics Beijing Institute of Technology Beijing 100081 China Academy of Mathematics and Systems Science Academia Sinica Beijing 100080 China

An Euler-Bernoulli beam system under the local internal distributed control and boundary point observation is studied. An infinite-dimensional observer for the open-loop system is designed. The closed-loop system that is non- dissipative is obtained by the estimated state feedback. By a detailed spectral analysis, it is shown that there is a set of generalized eigenfunctions, which forms a Riesz basis for the state space. Consequently, both the spectrum-determined growth condition and exponential stability are concluded.

关键词： Euler-Bernoulli equation Observer Riesz basis Controllability and observability Stability

CHARACTEIZATIONS OF WOVENT g-FRAMES AND WEAVING g-FRAMES IN HILBERT SPACESS AND C^(*)-MODULES

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2023年第6期43卷 2471-2482页

作者： Amir KHOSRAVI Mohammad Reza FARMANI Faculty of Mathematical Sciences and Computer Kharazmi University599 Taleghani Ave.Tehran 15618Iran

In this paper,using Parseval frames we generalize Sun’s results to g-frames in Hilbert C^(*)-modules.Moreover,for g-frames in Hilbert spaces,we present some characterizations in terms of a family of frames,not only for orthonormal bases.Also,we have a note about a comment and a relation in the proof of Proposition 5.3 in[D.Li et al.,On weaving g-frames for Hilbert spaces,Complex Analysis and Operator Theory,2020].Finally,we have some results for g-riesz bases,woven and P-woven g-frames.

关键词： g-frame fusion frame woven frame Riesz basis g-Riesz basis

Vector sampling theorem for wavelet subspaces

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Shanghai University(English Edition) 2010年第1期14卷 29-33页

作者：陈俊丽李翔刘维晓万旺根 School of Communication and Information Engineering Shanghai University

The vector sampling theorem has been investigated and widely used by multi-channel deconvolution, multi-source separation and multi-input multi-output （MIh40） systems. Commonly, for most of the results on MIMO systems, the input signals are supposed to be band-limited. In this paper, we study the vector sampling theorem for the wavelet subspaces with reproducing kernel. The case of uniform sampling is discussed, and the necessary and sufficient conditions for reconstruction are given. Examples axe also presented.

关键词： reproducing kernel wavelet subspaces Riesz basis vector sampling theorem

NON-ORTHOGONAL P-WAVELET PACKETS ON THE HALF-LINE

在线全文

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2012年第4期28卷 385-396页

作者： F.A. Shah University of Kashmir

In this paper, the notion of p-wavelet packets on the positive half-line P＋ is introduced. A new method for constructing non-orthogonal wavelet packets related to Walsh functions is developed by splitting the wavelet subspaces directly instead of using the lowpass and high-pass filters associated with the multiresolution analysis as used in the classical theory of wavelet packets. Further, the method overcomes the difficulty of constructing non-orthogonal wavelet packets of the dilation factor p 〉 2.

关键词： p-Multiresolution analysis p-wavelet packets Riesz basis Walsh function,Walsh-Fourier transform