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1.
1 IntroductionIn [4] 5 Liu Yongqing discussed the equivalence problem about the closed-loopcontrol system with delaysand the no-delay control systemin the stability theory, and obtained some sufficient criterion, where Al(i =1, 2), B, C are constants or time-varying matrices, h = hij 2 0(z, j = 1, 2,'' 9 n).Recently, the stability and the unconditional stability about the controlsystem with delays and the delay neutral type control system, has been payingattention by many authors, and got m… 相似文献
2.
通过得用区间动力系统的稳定性理论和构造适当的Lyapunov科学家函,我们讨论了具离散时滞Kolmogorov生态系统的渐近性,分别获得了该系统强稳定、部分稳定的充分条件。 相似文献
3.
对n维时滞Prajneshu^[1]生态系统dxi(t)/dt=xi(t)[ri+Σ↑n↓j=1aijlnxj+Σ↑n↓j=1bijlnxj(t-τj)i=1,2,…,n(1)的区间生态稳定性进行了研究,给出了其区间生态稳定的判别准则。 相似文献
4.
ABSOLUTE STABILITY OF TIME-VARYING NONLINEAR CONTROL SYSTEM 总被引:1,自引:0,他引:1
《数学物理学报(B辑英文版)》1999,19(4):442-448
In this paper the authors study two classes of time-varying nonlinear control systems. A few sufficient conditions of absolute stability of these systems were obtained by means of classical analysis and the analogue of the variation of constants formula of nonlinear systems. Moreover, they gave some sufficient conditions of absolute stability in Hurwitz angle for these systems. 相似文献
5.
研究了一类具有时变区间参数的不确定随机线性系统的均方鲁棒稳定性.利用时变区间矩阵的分解技术、矩阵的Kronecker积的性质和Lyapunov函数法,得到了该系统均方鲁棒稳定的几个充分性条件.通过一个数值例子说明了所得的这些充分性条件的有效性和实用性. 相似文献
6.
非线性非自治系统零解的稳定性及部分稳定性研究 总被引:6,自引:1,他引:5
讨论了非线性非自治系统未被扰动运动的全变元及关于部分变元的稳定性、一致稳定性及全局稳定性,给出了几个判定准则,这些定理允许Lyapunov函数的导数为变号函数,改进了已有文献中的有关结果。 相似文献
7.
采用了一类新型积分等式,研究了具有非线性扰动的线性多时变时滞系统的时滞相关鲁棒稳定性问题,并推广得到一般的时滞相关-时滞变化率无关的鲁棒稳定性条件.数值实例表明,稳定性条件的保守性也有所减少. 相似文献
8.
The theorem obtained by Liao was not true (see [2]). So, this paper presents some criteria of global robust stability for interval Hopfield neural networks with time delay. The methods to judge the robust stability are practical and easily verifiable. 相似文献
9.
Kao Yonggui~ 《Annals of Differential Equations》2007,23(4):427-432
In this paper,we implement topological degree theory and Lyapunov-functional methods to obtain the existence and uniqueness of the equilibrium point and its global robust stability for interval Hopfield neural networks with continuously distributed delays.Moreover,the methods used in judging the robust stability are proven practical and easily verifiable. 相似文献
10.
1IntroductionandLemmaOneofthemostbasicissuesthatarisesinthecontroltheoryisthero-bustnessofmultivariab1esystems,i.e.theirabilitytomaintainstabilityandperformanceiRthefaceofuncertainties.Inthislight,stabilityisaprimaryconcernedsinceanunstablesystemisobviouslyuseless.Therobustnessofmultivariab1econtrolsystemshasbeenextensivelystudiedinthepast[l,2].Inpaper[2],usingthefrequencyaswellasthetimedomainapproach,thepro-blemofrobustnessofabsolutestabilityofLuriesystemswithnonlinearitiessubjecttomodelvar… 相似文献
11.
非线性灰色离散系统零解的稳定性 总被引:9,自引:1,他引:8
本文用区间矩阵和Lyapunov第二方法讨论了具有非线性扰动项的灰色离散系统的稳定性,得到了若干稳定性的代数判据,这些结果将文(5)的主要结果由线性推广到了非线性,并给出了实现的例子。 相似文献
12.
Yang Li Zhang Qingling Liu Guoyi 《Annals of Differential Equations》2005,21(3):497-502
We discuss the delay dependent robust dissipative problem for a class of time-delay systems with nonlinear perturbations. And the sufficient conditions for the delay dependent robust dissipation and quadratic stability are given by the linear matrix inequalities (LMIs), then the time-delay bound and the delay dependent robust dissipative state feedback controller are presented. 相似文献
13.
关于变系数线性方程的稳定性 总被引:10,自引:0,他引:10
本文给出了变系数线性方程有关稳定性的一些简洁的判据.对周期系数线性方程,给出了较为精确的渐近稳定性判据.从理论上解释了原先“冻结系数法”一般不能成立的原因. 相似文献
14.
In this paper, some sufficient conditions for the stability of system dx/dt = A(t)x + f(t,x) are given which are based on the assumption of that the eigenvalues of the leading principal submatrix of order r and its complementary submatrix of order m in A(t) all have negative real parts. 相似文献
15.
针对城市水需求具有增长性和周期性的情形,建立城市水供需系统投资的离散时间控制模型.由于城市水管理系统参数估计值可能具有不确定性和时变性,为使此情形下仍能有效满足城市水需求,利用内模原理设计了系统补偿器,并证明了其可行性,然后利用补偿器对系统实施鲁棒控制.在预测城市水需求的基础上,通过合理控制城市水供给的投资,使城市的剩余供水能力逐渐准确逼近给定目标值,且系统具有鲁棒性. 相似文献
16.
By using the quasi-Lyapunov function, some sufficient conditions of global exponential stability for impulsive systems are established, which is the basis for the following discussion. Then, by employing Riccati inequality and Hamilton-Jacobi inequality approach, some sufficient conditions of robust exponential stability for uncertain linear/nonlinear impulsive systems are derived, respectively. Finally, some examples are given to illustrate the applications of the theory. 相似文献
17.
研究了非线性非自治系统平凡解的等度渐近稳定性。利用一个或两个Lyapunov函数得到了保证所给系统的平凡解等度渐近稳定性的几个充分判据,最后给出两个例子说明本文结果. 相似文献
18.
研究了一类具有非最小相位和非线性外部系统的非线性系统的全局鲁棒输出调节问题.首先,利用浸入系统设计了一个非线性内模.其次,把原系统的全局鲁棒输出调节问题转化为增广系统的全局鲁棒镇定问题.然后,利用改变能量函数和动态增益技巧设计了一个状态反馈控制器,使得闭环系统的解有界并且跟踪误差渐近趋于零.最后,利用仿真结果验证了所设计的控制器的有效性. 相似文献
19.
ABSOLUTESTABILITYOFCONTROLSYSTEMWITHMULTI-NONLINEARFEEDBACKTERMS¥(廖晓昕,王晓君,舒卫华,吴卫华)LiaoXiaoxin;WangXiaojun(Dept.ofMathematics,... 相似文献
20.
考虑不可测状态是非线性的非严格三角形非线性系统的全局渐近稳定性问题.提出了一种新的反馈控制设计方法,构造一个线性动态输出补偿器,并全局稳定所控制的非线性系统. 相似文献