Stability and guaranteed cost control for uncertain time-delay Lur''''e systems

The problem of delay-dependent stability and guaranteed cost control （GCC） for a class of uncertain time-delay Lur＇e systems are studied. By using an improved integral inequality,a less conservative delay-dependent stability criterion is formulated as the feasibility problem of the linear matrix inequality （LMI）. The criterion is proved theoretically to be less conservative than some existing results for linear time-delay systems. Because of the fact that the matrices in the LMI-based stability criteria usually have different dimensions, different structures, and different variables, the conservatism analysis of the criteria is difficult. This study brings about a new insight into the comparison of conservatism among different stability criteria, which are expressed in certain LMI forms. The existence of the guaranteed cost controller is given in terms of matrix inequalities. The condition can be solved by using an iterative procedure and does not need any parameter tuning. A numerical example is given to illustrate the effectiveness of the proposed method.     

Stability Analysis of Ranking Alternatives Based on Subjective and Objective Weight

1　 IntroductionWeights of criteria are used to assess the relative importance of the different criteria inmulticriteria analysis,which can influence ranking result more or less depending on themulticriteria decision-making( MCDM) method used.Determining the weights ofcriteria isusually a difficult task due to the decision-maker( DM) is not always clear about how toweightfor each criterion and is noteasy to understand thatthe change of weightinfluencesthe ranking results from qualitative mea…     

Delay-dependent state feedback robust stabilization for uncertain singular time-delay systems

The problem of robust stabilization for uncertain singular time-delay systems is studied. First, a new delay-dependent asymptotic stability criteria for normal singular time-delay systems is given, which is less conservative. Using this result, the problem of state feedback robust stabilization for uncertain singular time-delay systems is discussed, Finally, two examples are given to illustrate the effectiveness of the results.     

ON THE EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS OF VOLTERRA INTEGRAL DIFFERENTIAL EQUATIONS

In this paper,we use the contraction principle and the Leray-Schauder principleto deal with the existence of periodic solutions of the Volterra integral differential equation.Some new existence criteria and unique existence criteria are obtained.     

FUNDAMENTALS OF THE ANALYTIC NETWORK PROCESS - MULTIPLE NETWORKS WITH BENEFITS,COSTS,OPPORTUNITIES AND RISKS

The general theory of the ANP enables one to deal with the benefits,opportunities,costs,andrisks(the BOCR merits)of a decision,by introducing the notion of negative priorites for C and Ralong with the rating(not comparison)of the top priority alternative synthesized for each of the fourmerits in terms of strategic criteria to enable one to combine the four B,O,C,and R values of eachalternative into a single outcome.Strategic criteria are very basic criteria individuals and groups useto assess whether they should make any of the many decisions they face in their daily operations.They do not depend on any particular decision for their priorities but are assessed in terms of the goalsand values of the individual or organization.Synthesis is made with two formulas,one multiplicativeand one additive subtractive that can give rise to negative overall priorities.This paper summarizesand illustrates basic complex decisions involving several control criteria under each of the BOCRmerits.     

Delay differential equations under nonlinear impulsive control and applications to neural network models

In this paper,a class of delay differential equations with nonlinear impulsive control is discussed.Based on the nonsmooth analysis,criteria of stability are obtained for delay differential equations with nonlinear impulses control under certain conditions.These criteria can be applied to some neural network models.At the end of the paper,two examples are provided to illustrate the feasibility and effectiveness of the proposed results.     

THE AHP： A MULTICRITERIA DECISION MAKING METHODOLOGY FOR SHIFTWORK PRIORITIZING

1. Introduction The Analytic Hierarchy Process (AHP) for decision-making uses objective mathematics to process the inescapably subjective and personal preferences of an individual or a group in making a decision. With the AHP, we construct hierarchies that have a first level of strategic or politic criteria, then expand each one of these criteria into more specific subcriteria until reach the terminal criteria, the behavior indicators. Later, makes judgments or performs measurements on pai…     

Study on a Evaluation Method of Vendorst

Based on the background of vendors＇ selection in supply chain management, the theory of entropy is adopted to filter the criteria. With the combination of data envelopment analysis（DEA） model, it can not only to eliminate the exclusive information of criteria, but it can keep the advantages of DEA model as well, which can conveniently conduct to automatic data collection and going on an objective evaluation of the priority of vendors.     

Stability of nonlinearly-perturbed systems with time varying delay using LMIs

This paper studies delay dependent robust stability and the stabilization problem of nonlinear perturbed systems with time varying delay. A new set of sufficient conditions for the stability of open as well as close loop systems are obtained in the sense of Lyapunov-Krasovskii. To reduce the conservatism, the work exploits the idea of splitting the delay interval into multiple equal regions so that less information on the time delay can be imposed to derive the results. The derived criterion not only improves the upper bounds of the time delay but also does not require the derivative of the delay to be known at prior. Easily testable sufficient criteria are presented in terms of linear matrix inequalities. It is shown that the derived conditions are very less conservative while comparing the maximum allowable upper bound of delay with the existing results in literature.     

New results on the robust stability analysis of neural networks with discrete and distributed time delays

Delay-dependent robust stability of cellular neural networks with time-varying discrete and distributed time-varying delays is considered. Based on Lyapunov stability theory and the linear matrix inequality （LMIs） technique, delay-dependent stability criteria are derived in terms of LMIs avoiding bounding certain cross terms, which often leads to conservatism. The effectiveness of the proposed stability criteria and the improvement over the existing results are illustrated in the numerical examples.     

多延时线性中立型系统的稳定性的代数判据

近年来多延时线性中立型微分系统的稳定性被广泛研究,大量的充分条件被得到,这些条件互为补充,使得很多这类系统的稳定性通过这些充分条件得以判定(参见文献[1-4]),我们借助于矩阵理论得到了依赖于延时的稳定性代数判据;进而给出了独立于延时的稳定性代数判据,最后给出例子来说明所给判据是对文献[1-4]所给判据的补充。     

区间系统鲁棒绝对稳定性分析

针对区间型Lurie间接控制系统和直接控制系统,提出了鲁棒绝对稳定性分析的新方法。该方法通过引入区间矩阵的一种新的描述方法,利用李亚普诺夫(Lyapunov)稳定性理论分别给出了间接控制系统和直接控制系统的鲁棒绝对稳定性的新的判别方法。所得判据以线性矩阵不等式的形式进行描述,保守性小,计算方便。分别就间接控制系统和直接控制系统,给出了算例以说明方法的有效性。     

离散动态系统稳定与不稳定的简捷判据

运用矩阵特征值分析技巧研究了区间矩阵及一类离散动态系统的稳定性问题。在无需任何附加条件的情况下,仅用区间矩阵的界阵元素给出了一般区间矩阵及离散动态系统混合稳定、渐进(离散)稳定与不稳定的简便代数判据(含充分条件、必要条件与充要条件),弃掉了对区间矩阵的下(上)界阵为非负(正)的条件要求。相对于现存结果,提出判据不仅明显具有普适性强实用范围广且保守性小的特性,而且还涵盖了一些原有的稳定性判据。     

PROMETHEEⅡ法的权重稳定区间

通过改变各属性的权重 ,研究了由 PROMETHEE 方法所给出的排序结果对权重变化的敏感性 ;给出了权重变化导致结果变化的条件 ;提出了为不同的属性构造不同的权重稳定区间的方法 ,并应用于实际问题 .     

人口系统的稳定性分析

运用耗散结构理论对人口系统的演化问题进行了研究,并用非线性系统的稳定判据得出了人口持续发展目标。     

On the exponential stability of neural networks systems with time-varying delay

In this paper, exponential stability of Hopfield-type neural networks with time-varying delays are analyzed. By using the Lyapunov functional method, sufficient conditions are obtained for general exponential stabilities. At the same time, the output functions do not satisfy the Lipschitz conditions and do not require them to be differential or strictly monotonously increasing. Moreover, all results are established without assuming any symmetry of the connection matrix.A numeric example is pressented to show the effective of these criteria.     

Improved delay-dependent stability criteria for systems with interval delay

This paper deals with the problem of stability for systems with delay varying in an interval.A new Lyapunov functional,which makes use of the information of both the lower and upper bounds of the interval time-varying delay,is proposed to derive some new stability criteria.Furthermore,the relationship of the time-varying delay and its lower bound and upper bound is taken into account.As a result,some less conservative delay-dependent stability criteria are obtained without ignoring any useful information in the derivative of Lyapunov functional,which are established in the forms of linear matrix inequalities.Numerical examples are provided to show that the obtained results are better than existing ones.