共查询到18条相似文献,搜索用时 140 毫秒
1.
本文研究具有滞后耦合特性的时不变线性Ito随机大系统的稳定性,得到了大系统平衡态滞后无关的均方渐近稳定性代数判据。文中所考虑的子系统是随机子系统,对它们的建设正好是它们的均方渐近稳定的充要条件。另外,文中采用的Lyapunov泛函是确定型的Lyapunov泛函。 相似文献
2.
3.
4.
研究非线性滞后Ito随机系统的滞后无关均方渐近稳定性,将关于线性时滞不等式的Halanay不等式推广到非线性情形,用Lyapunov函数和关于时滞随机系统的比较原理,得到了非线性滞后Ito随机系统滞后无关均方渐近稳定性的一些判据。 相似文献
5.
6.
7.
8.
9.
讨论了多组滞后线性定常离散大系统的稳定性问题,给出了求解离散Lyapunov方程及实对称矩阵特箱奶的智能方法,同时基于M-矩阵建立了判定多组滞后的线性定常离散大系统无条件渐近稳定的实用并行算法,最后,通过实例验证了该算法在正确性和有效性。 相似文献
10.
11.
本文对分布迭代随机大系统给出了定性分析,对时不变性线,时变线性和非线性迭代随机大系统建立了关联均方收敛性判据,在所有孤立子系统都收敛的情形,只需选择子系统中适当的乘子,迭代随机大系统就能对任意互连项和在结构扰动下保持均方收敛性。 相似文献
12.
广义大系统的稳定性是广义大系统理论的基本问题之一,对其稳定性的研究要比状态空间大系统复杂得多,因为广义大系统不仅需要考虑稳定性,而且还要考虑正则性和因果性(离散广义系统)及脉冲自由(连续广义系统).本文在所有孤立子系统都是正则的且具有因果关系的条件下,利用Lyapunov方程,应用Lyapunov函数方法,研究了广义离散线性大系统和广义离散非线性大系统的稳定性和不稳定性问题,给出了离散广义大系统稳定性和不稳定性判定定理,得到了离散广义大系统的关联稳定参数域和不稳定域. 相似文献
13.
Bondi P. Fergola P. Gambardella L. Tenneriello C. 《Automatic Control, IEEE Transactions on》1979,24(1):94-97
In this paper a theorem concerning the asymptotic partial stability for large-scale systems is given. By describing high-order systems as collections of lower order interconnected subsystems, the theorem takes the form of conditions on the interconnection structure so that asymptotic partial stability property of isolated subsystems infer the same property of the over-all system. An application is given for a problem of partial controllability in the large. 相似文献
14.
Vector Lyapunov functions are used in the stability analysis of large-scale stochastic systems described by Itô differential equations (with stochastic disturbances in the subsystems and in the interconnecting structure). Sufficient conditions for asymptotic stability and exponential stability with probability 1 and in probability are established, in all cases the objective is the same: to analyze large-scale systems in terms of their lower order (and simpler) subsystems and in terms of their interconnecting structure. Use of the method presented makes it often possible to circumvent difficulties usually encountered when the Lyapunov method is applied to high-dimensional systems and to systems with complicated interconnecting structure. In order to demonstrate the usefulness of the present approach, a specific example is considered. 相似文献
15.
16.
ABSTRACTThis paper is devoted to study the stability of switched singular stochastic linear systems with both stable and unstable subsystems. By using the method of multiple Lyapunov functions and the notion of average dwell time, we provide sufficient conditions for the exponential mean-square stability of switched singular stochastic systems in terms of a proper switching rule and the linear matrix inequalities. An example is given to illustrate the effectiveness of the obtained results. 相似文献
17.
The purpose of this paper is to develop new methods for constructing vector Lyapunov functions and broaden the application of Lyapunov's theory to stability analysis of large-scale dynamic systems. The application, so far limited by the assumption that the large-scale systems are composed of exponentially stable subsystems, is extended via the general concept of comparison functions to systems which can be decomposed into asymptotically stable subsystems. Asymptotic stability of the composite system is tested by a simple algebraic criterion. By redefining interconnection functions among the subsystems according to interconnection matrices, the same mathematical machinery can be used to determine connective asymptotic stability of large-scale systems under arbitrary structural perturbations. With minor technical adjustments, the theory is broadened to include considerations of unstable subsystems as well as instability of composite systems. 相似文献
18.
Stability analysis of fuzzy large-scale systems 总被引:1,自引:0,他引:1
Feng-Hsiag Hsiao Jing-Dong Hwang 《IEEE transactions on systems, man, and cybernetics. Part B, Cybernetics》2002,32(1):122-126
This paper is concerned with the stability problem of fuzzy large-scale systems. Each of them consists of J interconnected subsystems which are represented by Takagi-Sugeno fuzzy models. A stability criterion in terms of Lyapunov's direct method is proposed to guarantee the asymptotic stability of fuzzy large-scale systems. Finally, an example is given to demonstrate the results. 相似文献