一类含参数的分块对称矩阵的正定性及应用

首先给出一种判断分块对称矩阵正定的方法,提供了确定一组尽可能小的参数,使一类含参数的分块对称矩阵正定的简单算法,然后,将其结果用于研究线性定常大系统的分散镇定性,得到了一类可分散镇定的线性大系统,并给出了相应的分散镇定算法,同文献中提供的方法相比,该算法不仅扩大了所考虑的系统范围,而且不会引起过高的反馈增益,同时还简单易算。     

Novel Optical Vibration Sensor Using External Cavity Feedback: Novel Optical Vibration Sensor Using External Cavity Feedback

A novel low cost, non-contact optical vibration sensor requiring only a single optoelectronic component has been developed. It consists of a continuous wave semiconductor laser operating with external optical feedback. Vibrations have been measured at frequencies of up to 600 Hz with target reflectivities lower than 5%. When calibrated, the sensor demonstrates satisfactory output for submicron vibration amplitudes. Accuracies of 0.2% have been obtained over a range of 1 mm.     

Global attractivity of a synchronized periodic orbit in a delayed network

We consider an artificial neural network where the signal transmission is of a digital (McCulloch-Pitts) nature and is delayed due to the finite switching speed of neurons (amplifiers). For a particular connection topology, we show that all solutions starting from nonoscillatory initial states will be eventually synchronized and stabilized at a unique limit cycle, and hence such a network can be used as a synchronized oscillator.     

On n ‐contractive fuzzy logics

It is well known that MTL satisfies the finite embeddability property. Thus MTL is complete w. r. t. the class of all finite MTL‐chains. In order to reach a deeper understanding of the structure of this class, we consider the extensions of MTL by adding the generalized contraction since each finite MTL‐chain satisfies a form of this generalized contraction. Simultaneously, we also consider extensions of MTL by the generalized excluded middle laws introduced in [9] and the axiom of weak cancellation defined in [31]. The algebraic counterpart of these logics is studied characterizing the subdirectly irreducible, the semisimple, and the simple algebras. Finally, some important algebraic and logical properties of the considered logics are discussed: local finiteness, finite embeddability property, finite model property, decidability, and standard completeness. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

LiNbO3无谐振腔式电光调制混合型光学双稳态实现条件的研究

本文简介以LiNbO₃为非线性介质,利用电光振幅调制特性实现了LiNbO₃晶体混合型光学双稳态,并在不同的条件下测试了不同的光学双稳态滞后回线和调制函数曲线,首次提出“调制函数曲线平移”问题的方法。用此一性质可将偏置电压调制为零省去偏置系统,利于系统集成,为实现无偏压双稳系统指明了方向。     

An LQR-control problem for a multicomponent flexible structure

This paper is concerned with modeling and control of a multicomponent distributed-parameter structure. General results from the theory of infinitedimensional systems are used to pose an LQR-control problem for the structure. Different variations of the structure are considered and, in particular, approximation schemes for two forms of the structure are presented in detail. Responses of the system to an elastic initial condition are presented. It is shown that convergent state feedback control laws can be obtained which result in significant suppression of vibrations and unwanted displacements throughout the structure.     

受内反馈控制的Phase-Field系统的稳定性

该文证明了受内反馈控制的phase-field系统的解在某些条件下是稳定的.