直线不稳定船舶航迹控制的稳定性研究

针对直线不稳定船舶的全局直线航迹控制,提出了一类航迹非线性状态反馈控制算法。采用Lya-punov直接法分析系统的稳定性,得到了保证闭环控制系统全局渐近稳定的充分条件,从而解决了直线不稳定船舶航迹闭环控制系统全局稳定性的判定问题。数值仿真和模拟试验结果验证了该充分条件的正确性。     

Stability analysis of extended discrete-time BAMneural networks based on LMI approach

1 .INTRODUCTIONBidirectional associative memory model is a kind ofneural network models in common use with the abili-ty of information memory and association. Since thedistributed memory of the information,the networkcan associate a completed and clear mode stored in itfroman uncompleted and fuzzy mode . Bidirectionalassociative memory (BAM) proposed by B. KoskoinRef .[1] is a generalization of Cohen-Grossberg’smodel from single layer to two layers . Since then,there have beenlots of …     

具分布延时细胞神经网络的指数周期与稳定性

研究了具分布延时细胞神经网络的全局指数周期性与指数稳定性。在没有假设激活函数是有界的、可微的、单调增的情况下,通过应用一些新的分析技巧与Halanay-type不等式方法,得到了确保延时细胞神经网络周期解存在唯一且全局指数周期与全局指数稳定的简单的、容易验证的、新的充分条件。并给出了算例及其仿真结果支持所得结论。     

ALMOST PERIODIC SOLUTION FOR A CLASS OF LOTKA-VOLTERRA TYPE N-SPECIES ECOLOGICAL SYSTEMS WITH TIME DELAY

The uniform permanence and global asymptotic stability of a class of almost periodic Lotka-Volterra type N-species competitive systems with diffusion and delays are investigated. It is shown that the system is uniformly persistent under some appropriate conditions, and new sufficient conditions are obtained for the global asymptotic stability of the unique positive almost periodic solution of the system.     

具有时滞的二阶Hopfield神经网络的稳定性分析

对具有时滞的二阶Hopfield型神经网络平衡点的全局渐近稳定性问题进行了研究。在不要求连接权矩阵的对称性和输入输出函数的可微性与单调性的情况下 ,通过构造适当的Lyapunov泛函得到了网络平衡点的存在性和全局渐近稳定性的若干充分条件 ,这些条件可用于设计全局渐近稳定的二阶人工神经网络。     

Global stabilizing controller design for linear time-varying systems and its application on BTT missiles

A parametric method for the gain-scheduled controller design of a linear time-varying system is given. According to the proposed scheduling method, the performance between adjacent characteristic points is preserved by the invariant eigenvalues and the gradually varying eigenvectors. A sufficient stability criterion is given by constructing a series of Lyapunov functions based on the selected discrete characteristic points. An important contribution is that it provides a simple and feasible approach for the design of gain-scheduled controllers for linear time-varying systems, which can guarantee both the global stability and the desired closed-loop performance of the resulted system. The method is applied to the design of a BTT missile autopilot and the simulation results show that the method is superior to the traditional one in sense of either global stability or system performance.     

GLOBAL STABILITY AND HOPF BIFURCATION OF AN SIS EPIDEMIC MODEL WITH TIME DELAYS

1 IntroductionFor epidemic model with delays, many people have done a lot of work and many valuableresults have been obtained. In SIS ePidemiologic models, susceptibles become infectious aftersufficieot contact with an infective and then become susceptible again after they have recoveredfrom the infection. SIS models with a time delay in the infectious class and a constan poWulation size were analyzed by Cooke and Yorke[1] and Greenberg and Hoppensteadt[2J. TheyfOund that aJl solutions a…     

GLOBAL PHASE-PORTRAITS OF PLANEHOMOGENEOUS POIYNOMIAL VECTOR FIELDSAND STABILITY OF THE ORIGIN

1.IntroductionT.Dated]obtainedanalgebraicclassificationofplanehomogeneousquadraticvectorfields,A.Cima[2]gaveanalgebraicandtopologicalclassificationofhomogeneouscubicvectorfieldsintheplane.Theirmethodswerebasedontheclassificationofforth-orderbinaryformsdev…     

STUDY ON AN SIS EPIDEMIC MODEL WITH TIME VARIANT DELAY

In this paper, we study an SIS epidemic model with a time variant delay. By means of Liapunov functional, some sufficient conditions of global stability to endemic equilibrium and disease free equilibrium have been obtained. The influence of time delay on the stability of equilibria is displayed.     

Stability analysis of cellular neural networks with time-varying delay

The global asymptotic stability of cellular neural networks with delays is investigated. Three kinds of time delays have been considered. New delay-dependent stability criteria are proposed and are formulated as the feasibility of some linear matrix inequalities, which can be checked easily by resorting to the recently developed interior-point algorithms. Based on the Finsler Lemma, it is theoretically proved that the proposed stability criteria are less conservative than some existing results.     

Stability of stochastic neural networks with Markovian jumping parameters

The global asymptotical stability for a class of stochastic delayed neural networks (SDNNs) with new delay-dependent stability conditions are derived. All results are expressed in terms of linear matrix inequality (LMI), and a numerical example is presented to illustrate the correctness and less conservativeness of the proposed method.     

Global Stability in a Competition Model of Plankton Allelopathy with Infinite Delay

A competition model of plankton allelopathy with infinite delay is considered in this paper.By using an iterative method, the global stability of the interior equilibrium point of the system is investigated. The result shows that for this system, delay and toxic substances are harmless for the stability of the interior equilibrium point.     

时滞竞争神经网络的全局指数稳定性

对于不同时标的时变时滞竞争神经网络的网络模型,通过构造适当的Lyapunov函数,结合微分不等式分析,研究了时变时滞竞争神经网络的全局指数稳定性,获得了新的全局指数稳定性判据,所得判据推广和改进了前人的相关结论。最后的数值仿真例子证明了该算法的有效性。     

一类非线性系统的自适应神经跟踪控制

针对一类未知非线性动态系统,提出了一种基于神经网络的自适应输出跟踪控制方案。网络权值的自适应修正规则是基于Lyapunov稳定性理论实现的,避免了递归训练过程;一个滑模控制项用于消除神经网络逼近误差的影响。因此,该自适应神经控制器能保证系统的全局稳定性和输出跟踪误差渐近收敛于0。     

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

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基于拟态物理学的群集行为研究

基于拟态物理学的思想,提出一种近似于万有引力的作用力函数来描述群体中个体之间的相互作用,以此为基础建立了基于个体信息的群集模型。基于Lya-punov稳定性理论研究了该作用力函数情况下群体中个体运动的内聚性和稳定性。仿真实验表明,在该作用力函数下,能够实现群体的稳定全局聚集行为。     

Stability of coupled impulsive Markovian jump reaction-diffusion systems on networks

This paper is devoted to the investigation of stability for a class of coupled impulsive Markovian jump reaction-diffusion systems on networks (CIMJRDSNs). By using graph theory, a systematic method is provided to construct global Lyapunov functions for the CIMJRDSNs. Based on Lyapunov functions and stochastic analysis method, some novel stability principles associated with the topology property of the networks are established.     

一类非线性离散系统的自适应控制

针对一类非线性离散系统 ,利用 Lyapunov方法和加权最小二乘估计设计了一种自适应控制器 ,在对非线性 (不加增长条件约束 )的情况下 ,得到了闭环系统的全局跟踪性能 .     

SOLUTION OF A CLASS OF INVESTMENT DEVELOPMENTAL EQUATIONS

1. PerfaceIn paper [l], we have established the partial differential equation based on assets develop-mental process. In this paper we will consider the kind of distributed parameter system. Hence,we study the solution of the following problem (K):where a represents the age of productive assets, t represellts time, K(a, t) is the age--distributiondensity function of the productive assets at time t. p(a) is relative depreciation rate of assets. ris the accumulation rate of assets, A(t) means t…     

延时耦合复杂动力网络的全局混沌同步

利用Lyapunov稳定性理论,结合线性矩阵不等式方法,给出了具有耦合延时的复杂动力网络全局指数同步的时滞无关和时滞相关的若干条件.同时以Duffing混沌系统为例,应用时滞相关条件,得到了保证同步状态全局指数稳定的时滞上界,并与已有结论作比较,验证了结论的保守性有所减弱.数值仿真结果也说明理论分析的正确性.