Optimal finite-dimensional recursive identification in a polynomial output mapping class

A time-varying polynomial output equation expressing an implicit dependence of the observed signal on the parameter vector admits a finite-dimensional recursive representation for the optimal on-line estimator. Both continuous and discrete observations result in the differential systems which give the estimate. Deterministic exponentially weighted least-squares is applied. Exponential stability of the identifier and convergence to the true parameter value are shown. Two examples are presented. A continuous application originates in a pH-control process. The discrete identification is applied in a dynamic ARMA-type model which is quadratic in the parameter.     

基于非线性单元模型的绳系卫星系统动力学

建立连续绳系卫星系统的离散的可变自由度有限维动力学模型,描述其长时间空间大范围运动.绳系卫星系统为复杂的非线性动力学系统.考虑了系绳的黏弹性、分布质量和空间位形,使得建立的改进珠式模型能够细致地描述系绳的纵横向振动.根据绳索只能受拉而不能抗压的特性引入了系绳单元的松弛模型,准确反映系绳真实受力情况.研究了系统自由度改变...     

有限维空间非谐振子广义偶奇相干态及其非经典特性

构造了有限维空间非谐振子广义偶奇相干态,并运用数值计算方法研究了其非经典特性。结果表明,相对于无限维情景,随空间维数减小,广义偶奇相干态的压缩反常现象均削弱,广义偶相干态的反聚束反常现象增强;而方义奇相出现反聚束反常现象的区间缩小但反聚束程度加强。     

一类分布参数系统的有限维变结构控制

本文研究了一类非线性分布参数系统的有限维变结构控制问题，首先采用Ｇａｌｅｒｋｉｎ近拟法给出了系统的有限维近似模型；进而给出了使近似系统具有良好动态品质的有限维变结构控制器的设计方法；最后分析了闭环系统的渐近性态，给出了近似阶次一定的情况下，原系统具有良好渐近性态的充分条件。     

Mesh-based numerical implementation of the localized boundary-domain integral-equation method to a variable-coefficient Neumann problem

An implementation of the localized boundary-domain integral-equation (LBDIE) method for the numerical solution of the Neumann boundary-value problem for a second-order linear elliptic PDE with variable coefficient is discussed. The LBDIE method uses a specially constructed localized parametrix (Levi function) to reduce the BVP to a LBDIE. After employing a mesh-based discretization, the integral equation is reduced to a sparse system of linear algebraic equations that is solved numerically. Since the Neumann BVP is not unconditionally and uniquely solvable, neither is the LBDIE. Numerical implementation of the finite-dimensional perturbation approach that reduces the integral equation to an unconditionally and uniquely solvable equation, is also discussed.     

二阶分布参数系统的变结构控制

本文研究了Hilbert空间中的二阶分布参数系统的变结构控制问题,给出了系统存在滑动模的条件;并研究了系统的有限维近似问题,从而为柔性机器人等分布参数系统的变结构控制奠定了理论基础。     

Two-dimensional behavior decompositions with Finite-Dimensional Intersection: A Complete Characterization

In this paper, the following problem is addressed: given a two-dimensional complete behavior\({\cal B}\) and one of its sub-behaviors\({\cal B}_B\), under what conditions a third complete behavior\({\cal B}_A\) can be found, such that\({\cal B} = {\cal B}_A + {\cal B}_B\) and\({\cal B}_A \cap {\cal B}_B\) is finite-dimensional autonomous? This constitutes a complete generalization of the decomposition theorem, as it represents a decomposition with “minimal intersection”, in which one of the two terms has been a priori fixed. The analysis carried on here completes the preliminary results reported in [Bisiacco and Valcher, Multidimensional Systems and Signal Processing, vol. 13,2002, pp. 289–315]. and completely generalizes the direct sum decomposition problem presented in [Bisiacco and Valcher, IEEE Transactions on Circuits and Systems Part I, CAS-I-48, no-4, 2001, pp. 490–494].     

一类非线性反应扩散方程的有限维反馈控制

本文研究了一类反应扩散方程的有限维反馈控制问题,用惯性流形理论,在按连续范数逼近的意义下,把一个受控系统控制到一个预先给定的有限维目标系统。