Pure Significance Tests of the Unit Root Hypothesis Against Nonlinear Alternatives

Abstract. This paper describes artificial neural network based pure significance tests for the unit root hypothesis against nonlinear alternatives. The theoretical properties of the tests are discussed and a Monte Carlo investigation of their small sample properties is undertaken.     

求非线性方程近似解的逐次迭代法

本文提出了求解非线性问题的一种新方法——逐次迭代法，本方法先是给出一个初始近似解，然后将这个近似解进行校正迭代，使之接近于真实解，把一个非线性问题转化为一个线性问题来解决。     

Robust State Feedback Control Through Actuators With Generalized Sector Nonlinearities And Saturation

In control systems, actuators often have nonlinear characteristics that can not be neglected. For linear systems driven by actuators satisfying the generalized sector condition, a robust state feedback controller synthesis method is proposed to achieve the ultimate boundedness control. The method is based on the linear matrix inequality approach and is easy to apply. As an important special case of the generalized sector condition, the saturation characteristic of actuators is discussed separately, and non‐conservative results are obtained.     

二阶非线性微分方程的一个振动准则

本文给出了二阶非线性微分方程的一个新的振动准则。所得结果改进了若干熟知的振动准则。     

Deorthogonalization of ODS-CDMA QPSK by AM/PM Nonlinearity

When using a conventional demodulator, a sufficient condition to maintain ODS-CDMA codeword orthogonality is constant relative channel amplitude over the codeword duration. When transmitted over a memoryless, AM/PM nonlinearity channel, the chip-to-chip fluctuating amplitude of a composite ODS-CDMA QPSK waveform produces a chip-to-chip fluctuating phase that deorthogonalizes the ODS-CDMA codewords, resulting in an additional multiple access self-interference similar to that found in asynchronous DS-CDMA. For ODS-CDMA QPSK in an AM/PM nonlinearity channel, we utilize the Central Limit Theorem, derive, and evaluate: (i) an expression for the signal-to-distortion ratio at the demodulator output, (ii) an expression for the uncoded bit error probability, and (iii) an upper bound on the convolutionally-coded bit error probability. We find that the degradation to BER depends on both the AM/PM nonlinearity slope and the ODS-CDMA channel loading.     

Using Lyapunov's direct method for wave suppression in reactive systems

This paper proposes a new approach for stabilizing a homogeneous solution in reaction–convection–diffusion system with oscillatory kinetics, in which moving or stationary patterns emerge in the absence of control. Specifically, we aim to suppress patterns by using a spatially weighted finite-dimensional feedback control that assures stability of the solution according to Lyapunov's direct method. A practical design procedure, based on spectral representation of the system and dissipative nature of parabolic PDEs, is presented.     

矩形橡胶复合材料层合板几何非线性分析

文中应用简单高阶剪切层合理论和大变形理论对各向异性纤维增强的矩形橡胶复合材料层合板进行了几何非线性分析。与线性一理论相比，本文作者进行的层合板大变形状态的几何非线性分析和所计算的层板应力分布，更准确性。     

取代二苯多烯和取代聚二乙炔的三阶非线性光学性质

为了设计新的具有较高非线性极化率和光损耗小的有机非线性光学（ＮＬＯ）材料，需要了解不同的有机结构对分子非线性的影响。在此基础之上，建议用平行对比的方法来近似估算取代二苯多烯和聚二乙炔（ＰＤＡ）的三阶非线性光学极化率。     

有源滤波器非线性行为分析及其电磁干扰的抑制

对具有结构不稳定性的有源滤波器的非线性问题进行了研究，通过对绝缘栅双极型晶体管（IGBT）器件开关过程产生的瞬态电流脉冲的传播过程进行分析，将IGBT器件的控制电压引起的结构稳定问题的抑制转化为该瞬态电流脉冲传播通路的阻断。利用仿真和实验对正激式与反激式开关变换器进行抗干扰能力的研究，说明反激式开关变换器用于有源电力滤波器(APF)的辅助开关电源，更有利于APF对非线性问题的抑制。     

螺栓联接法兰瞬态温度场分析

建立了螺栓法兰联接的三维力学及传热学模型,在考虑垫片非线性基础上,研究了法兰的瞬态温度场分布以及温度场的变化,对垫片和螺栓载荷的影响.研究表明,由于瞬态温度场的影响,螺栓载荷变化滞后于垫片载荷的变化,并且随着内壁温度的升高而增加;垫片外侧载荷变化呈先升后降的规律.