Stability of Singular and Time－Delay Measure Differential Large－Scale Systems with Impulse Effects

ＳｔａｂｉｌｉｔｙｏｆＳｉｎｇｕｌａｒａｎｄＴｉｍｅ－ＤｅｌａｙＭｅａｓｕｒｅＤｉｆｆｅｒｅｎｔｉａｌＬａｒｇｅ－ＳｃａｌｅＳｙｓｔｅｍｓｗｉｔｈＩｍｐｕｌｓｅＥｆｆｅｃｔｓＧＵＡＮＺｈｉｈｏｎｇ；ＬＩＵＹｏｎｇｑｉｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＡｕ...     

Study on Variation of Parameters Formula and Stability for Impulsive Time－Delay Nonlinear Large Scale Systems

ＳｔｕｄｙｏｎＶａｒｉａｔｉｏｎｏｆＰａｒａｍｅｔｅｒｓＦｏｒｍｕｌａａｎｄＳｔａｂｉｌｉｔｙｆｏｒＩｍｐｕｌｓｉｖｅＴｉｍｅ－ＤｅｌａｙＮｏｎｌｉｎｅａｒＬａｒｇｅＳｃａｌｅＳｙｓｔｅｍｓＧＵＡＮＺｈｉｈｏｎｇ（Ｄｅｐｔ．ｏｆＢａｓｉｃＳｃｉｅｎｃ...     

An Optimal Experimental Method of the Large Scale Linear System

ＡｎＯｐｔｉｍａｌＥｘｐｅｒｉｍｅｎｔａｌＭｅｔｈｏｄｏｆｔｈｅＬａｒｇｅＳｃａｌｅＬｉｎｅａｒＳｙｓｔｅｍＣＨＥＮＧＪｉｌｉｎＹａｎｇｚｈｏｕＵｎｉｖｅｒｓｉｔｙ，Ｙａｎｇｚｈｏｕ，２２５００９ＺＨＯＵＺｈｅｎｈｏｎｇＷｕｈａｎＨｙｄｒａｌｉｃａｎ...     

Global Exponential Stability of Variable Delay and Time－varying Measure Differential Systems with Impulse Effect

ＧｌｏｂａｌＥｘｐｏｎｅｎｔｉａｌＳｔａｂｉｌｉｔｙｏｆＶａｒｉａｂｌｅＤｅｌａｙａｎｄＴｉｍｅ－ｖａｒｙｉｎｇＭｅａｓｕｒｅＤｉｆｆｅｒｅｎｔｉａｌＳｙｓｔｅｍｓｗｉｔｈＩｍｐｕｌｓｅＥｆｆｅｃｔＧＵＡＮＺｈｉｈｏｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＢａ...     

Robust Stabilization of Uncertain Time Delay System

ＲｏｂｕｓｔＳｔａｂｉｌｉｚａｔｉｏｎｏｆＵｎｃｅｒｔａｉｎＴｉｍｅＤｅｌａｙＳｙｓｔｅｍＴｈｉｓｐｒｏｊｅｃｔｗａｓｓｕｐｐｏｒｔｅｄｂｙｔｈｅＳｃｉｅｎｃｅＦｏｕｎｄａｔｉｏｎｏｆＥｄｕｃａｔｉｏｎａｌＢｕｒｅａｕｏｆｔｈｅＭｅｔａｌｕｒｇｙ...     

A New Method of State Estimation for Singular Discrete-time Stochastic Linear System

ＡＮｅｗＭｅｔｈｏｄｏｆＳｔａｔｅＥｓｔｉｍａｔｉｏｎｆｏｒＳｉｎｇｕｌａｒＤｉｓｃｒｅｔｅｔｉｍｅＳｔｏｃｈａｓｔｉｃＬｉｎｅａｒＳｙｓｔｅｍＷＡＮＧＹｕｚｈｅｎＷＡＮＧＬｉａｎｇｕｏＳｙｓｔｅｍｓＥｎｇｉｎｅｅｒｉｎｇＩｎｓｔｉｔｕｔｅ，Ｓｈａ...     

A New Method of Structuring the Hierarchy of a System

Structuring the hierarchy of a system is an important link of solving problems with the analytic hierarchy process. This paper gives and proves the two theorems about the relationship between the hierarchy and the reachability matrix of the system. On the basis of it, we propose a method of structuring hierarchy by directly using the reachability matrix of the system. This method is simpler and clearer than that of interpretive structural modeling and is suitable for both manual calculating and computer proceeding. It fully shows the simplicity of the AHP.     

On Robust Stability of a Class of Uncertain Nonlinear Systems with Time—Varying Delay

The problem of robust stability of a class of uncertain nonlinear dynamical systems with time-delay is considered. Based on the assumption that the nominal system is stable, some sufficient conditions on robust stability of uncertain nonlinear dynamical systems with time-delay are derived. Some analytical methods and a type of Lyapunov functional are used to investigate such sufficient conditions. The results obtained in this paper are applicable to perturbed time-delay systems with unbounded time-varying delay. Some previous results are improved and a numerical example is given to demonstrate the validity of our results.     

Stabilizing Decomposition of neutral Linear Time－invariant Large－Scale Control Systems With Multi－group Multi－delays

ＳｔａｂｉｌｉｚｉｎｇＤｅｃｏｍｐｏｓｉｔｉｏｎｏｆｎｅｕｔｒａｌＬｉｎｅａｒＴｉｍｅ－ｉｎｖａｒｉａｎｔＬａｒｇｅ－ＳｃａｌｅＣｏｎｔｒｏｌＳｙｓｔｅｍｓｗｉｔｈＭｕｌｔｉ－ｇｒｏｕｐＭｕｌｔｉ－ｄｅｌａｙｓ￥ＧａｏＣｕｎｃｈｅｎ；ＬＩＵＹｏｎｇｑ...     

A New Method for the Decomposition of Portfolio VaR

In this paper, we give a new method of decomposing of portfolio VaR which are held with the hypotheses of non-normal distribution, based on the mutual relationships of marginal VaR, component VaR and Incremental VaR, and have the same results with decomposing of portfolio under the hypotheses of normal distribution.     

A New Criterion for Stability of Large-Scale Systems with Delay

1. INTanDUCTIONIn recent years, a number of research efforts have been made on stability analysis ed design for large-scaletime--delay systems. Hmamed [1] adopted a generalized linear system model and solxred the complex LyaPu-novequation to obtain the main results. Mori, et al.[2I worked ont a stability criterion for large--scale systemswith time delays by using comparison methods and M--matrix properties. Suh and Bien [3l and Lewis andAnderson [4] deve1oped some stability criteria for…     

具有时滞的线性系统渐近稳定的时滞相关条件

确定了线性时滞系统 x(t) =Ax(t) Bx(t-τ)稳定的时滞界 ,以改进现有有关该系统研究结果的保守性 ,并降低稳定验算的计算复杂度。详细介绍了确定时滞界的数值算法 ,给出了释例并与现有有关结果进行了比较。     

全系统网络延迟分析方法

针对飞行仿真系统实时性要求高的特点,构建了以以太网、实时反射内存网及现场总线技术等多种技术为主的飞行仿真系统分布式网络结构。分析了影响系统延迟的因素及其改进的方法,提出并建立了以太网、实时反射内存网及现场总线技术的延迟计算的数学模型,并提出了一种综合估算全系统时间延迟的方法。这些方法在相关的产品研发中得以运用并取得很好的实时性效果。     

连续MFN神经控制系统的稳定性判据

针对广泛应用的多层前向神经网络 (MFN) ,建立了连续MFN控制系统的数学模型 ,给出了其闭环稳定性判据 ,利用Lyapunov方法 ,进行了严格的数学证明 ,并且在证明过程中给出了系统的Lyapunov函数 ,同时进一步得出了系统为线性系统时的稳定性条件 ,最后讨论了目前神经控制系统稳定性研究中存在的有关问题 ,指出了将来的研究方向。     

STABILITY ANALYSIS FOR THE LARGE-SCALE SYSTEMS WITH TIME-DELAY

The stability analysis problems were put forward for the large-scale systems with time-delayby using the partial decomposition method.With the stability of the isolated subsystems without time-delay,some sufficient criterions for the asymptotical stability of the whole system were obtained bymaking a Lyapunov function with the Razumikhin condition and a Lyapunov functional for the retardedtype and neutral type,respectively.     

具有无界时变时滞的线性系统的稳定性

讨论了一类无界时变时滞线性系统的稳定性，给出了无界时变时滞线性系统稳定性的充分条件，这些条件也适用于常时滞系统。同时讨论了具有多个无界时变时滞系统的稳定性，并且改进了一些已有的关于常时滞系统稳定性的结论。最后给出了本文结论的两个示例。     

延迟微分方程隐-显式线性多步法的稳定性

通过研究延迟微分方程隐-显式线性多步法的稳定性,给出两类特殊的隐-显式方法即隐-显式Euler方法和隐-显式BDF方法的稳定性结论,证明了隐-显式Euler方法是P-稳定的,隐-显式BDF方法不是P-稳定的.为了克服边界轨迹法刻画复空间稳定区域的困难,给出了一种新的复空间上稳定区域的刻画方法,并用这种方法给出了隐-显式BDF方法的数值稳定性区域的描述,最后通过数值算例验证了这种刻画稳定区城的方法的可行性.     

Nonlinear Dynamics and Stability of Neural Networks with Delay-Time

In this paper we study the dynamic properties and stabilities of neural networks with delay-time (which includes the time-varying case) by differential inequalities and Lyapunov function approaches. The criteria of connective stability, robust stability, Lyapunov stability, asymptotic atability, exponential stability and Lagrange stability of neural networks with delay-time are established, and the results obtained are very useful for the design, implementation and application of adaptive learning neural networks.     

一种奇异混合信号盲分算法的稳定性分析

混合信号盲分问题是一类很难而又具有很强应用背景的问题,以往对这类问题的研究均在混合矩阵为非奇异的条件下进行。给出一种神经网络模型及相应算法,处理混合矩阵为奇异的混合信号盲分问题,并分析了算法的稳定性。     

一个离散时间系统稳定性判据及其应用

给出了一个便于应用的判定离散时间系统稳定性的简单判据，做为实例，分析讨论了某鱼雷在深度控制系统操纵下纵平面运动的稳定性.