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1.
根据蔡氏电路混沌系统的特点,得出了蔡氏电路混沌驱动系统与响应系统的误差系统.根据混沌系统的同步条件,可将混沌的同步问题转化成为误差系统的稳定性问题,即使混沌同步误差系统渐近稳定以实现混沌同步控制.针对蔡氏电路混沌系统的误差系统,采用自适应无源化方法,设计了使同步误差系统渐近稳定的具有自适应功能的反馈镇定器.该控制方法实现了2个蔡氏电路混沌系统同步,仿真研究验证了该方法的有效性.  相似文献   

2.
具有m个开关系统的渐近稳定性   总被引:5,自引:1,他引:4  
研究了一类具有m个开关系统的渐近稳定性,借助于多重Lyapunov函数,给出了该系统全局渐近稳定的充分条件,部分地改进了前人的结果。  相似文献   

3.
线性切换系统经周期切换渐近稳定性研究   总被引:3,自引:0,他引:3  
高立群  景丽 《控制与决策》2005,20(5):541-544
研究一类含有两个子系统的线性切换系统经周期切换渐近稳定问题.首先给出了特殊周期切换,即等时切换下线性切换系统渐近稳定的充要条件;然后将所得结论进行了推广,使之适合于一般的周期切换情形,并结合自适应思想提出了实现系统周期切换的方法,使之能应用于工程实际.特别指出,一个系统可经切换达到二次稳定的充要条件是该系统可经周期切换渐近稳定.对于一类线性切换系统,采用周期切换可使切换信号的设计变得相对简单.仿真结果表明了所提出的方法简洁而有效.  相似文献   

4.
将严格实用稳定性相关概念推广到具有控制输入的非线性奇异系统,利用两个Lyapunov函数方法和比较原理,得出其严格实用稳定及严格实用渐近稳定的判别准则.另外,我们给出了含有时滞的非线性奇异系统关于两个测度严格实用稳定的定义,并得出该类系统严格实用稳定及严格实用渐近稳定的充分条件.  相似文献   

5.
研究一类线性切换系统的稳定性问题.该类切换系统包含2个不同维数的线性子系统.首先根据原系统的结构,构造出它的比较切换系统;然后设计出比较系统的切换率,在保证每个线性子系统的被激活时间均大于某一数值τ(>0)的情况下,构造出2个子系统的Lyapunov函数;随后利用线性矩阵不等式(LMI)的方法给出每个子系统渐近稳定的条件.进一步利用Lyapunov稳定性理论的方法,保证整个比较系统的渐进稳定性,进而给出了原切换系统达到渐近稳定的一个充分条件.最后,一个数值例子说明文中方法的有效性.  相似文献   

6.
祝乔  崔家瑞  胡广大 《自动化学报》2013,39(9):1543-1546
本文分析了初始状态为正交的二维线性正系统的渐近稳定性. 与一维系统不同, 初始状态为正交的二维系统的稳定性严格依赖于合适的初始条件. 首先, 当初始状态 绝对收敛时, 二维正FM I 模型的渐近稳定性判据被提出. 然后, 针对二维正Rosser模型, 在初始状态 绝对收敛时, 相似的结论被给出. 最后, 两个数字实例证实了这些判据的有效性.  相似文献   

7.
首次提出了切换对称组合系统的概念, 研究了此类系统在任意切换下渐近稳定的条件, 同时分别利用多李雅普诺夫函数方法和单李雅普诺夫函数方法, 给出使切换对称组合系统渐近稳定的切换律, 利用切换对称组合系统的结构特点, 使其切换律的设计条件得到简化.  相似文献   

8.
工业过程稳态模型估计误差的渐近正态性分析:SISO情形   总被引:2,自引:1,他引:1  
本文研究了在相当弱的条件下工业过程稳态模型估计误差的渐近正态性.参数估计采用 简单加权最小二乘法,并利用近似线性模型集.优化过程中正常的系统设定点阶跃变化作为 辨识信号.据此证明了系统稳态模型估计误差渐近正态分布的结论.同时,还研究了估计量 的收敛速度和对线性近似模型结构的渐近鲁棒性.仿真研究则探讨了在有限样本空间内,影 响估计精度的若干因素.  相似文献   

9.
讨论了线性离散周期奇异系统初值问题的可解性和渐近稳定性问题.首先分析总结了线性离散变系数奇异系统可解性及其广义状态解的一般概念.在此基础上,定义了线性离散变系数奇异系统的一致渐近稳定性,并通过增加系统维数把线性离散周期奇异系统转化为线性定常奇异系统,从而得到了线性离散周期奇异系统可解和一致渐近稳定的充要条件.  相似文献   

10.
广义系统的渐近稳定性与镇定   总被引:8,自引:2,他引:8  
利用Lyapunov方法研究广义系统的渐近稳定性及相关的镇定问题.得到了渐近 稳定的条件及镇定方法.  相似文献   

11.
We consider a chemical reaction network model in which some of the reactions are stochastic and depend on past history. In this chemical reaction network, we found the emergence of autocatalytic sets (ACS) and complex dynamics in which ACS are repeatedly created and destroyed. This work was presented in part at the 7th International Symposium on Artificial Life and Robotics, Oita, Japan, January 16–18, 2002  相似文献   

12.
13.
In this paper, the interrelation between positive invariance, monotonicity and comparison of iterated nonlinear systems defined in partially ordered sets is studied. First, necessary and sufficient conditions guaranteeing the positive invariance of sets defined by relations of the form v(x)≤w with respect to nonlinear systems are established. Then, various characterizations of monotone nonlinear systems are developed and a connection between positive invariance and monotonicity is established. Finally, necessary and sufficient conditions for a, not necessarily monotone, nonlinear system to be a comparison system are established. No specific algebraic structure is necessary for developing the main results of this work. Numerical examples illustrating the applicability of all these results to the case of discrete-time dynamical systems are also given.  相似文献   

14.
We present sufficient conditions for the global stabilizability of two cascade connected nonlinear systems. These are based on general results concerning global asymptotic stability of triangular systems which are proved in the last section. For polynomial systems, in particular, the stabilizing feedback is given explicitly.  相似文献   

15.
This paper deals with the positive realization problem. The problem is to find, from a given transfer function, a state equation in which state variables and the output take nonnegative values whenever initial states and inputs are nonnegative. Necessary conditions are investigated and a new one is given, together with some related results.  相似文献   

16.
The property of dichotomy of interconnected second-order pendulum-like systems with multiple equilibria is investigated. This interconnection can be viewed as harmonic control of independent subsystems. Linear interconnections and a class of input and output interconnections are considered in this paper. The effects of input and output interconnections are shown through a permutation matrix. Frequency domain and linear matrix inequality (LMI) conditions of dichotomy of interconnected pendulum-like systems are derived. It is shown that global properties of two coupled systems can be changed significantly through interconnections. Examples are given to illustrate the results.  相似文献   

17.
This paper is a statistical analysis of hybrid expert system approaches and their applications but more specifically connectionist and neuro-fuzzy system oriented articles are considered. The current survey of hybrid expert systems is based on the classification of articles from 1988 to 2010. Present analysis includes 91 articles from related academic journals, conference proceedings and literature reviews. Our results show an increase in the number of recent publications which is an indication of gaining popularity on the part of hybrid expert systems. This increase in the articles is mainly in neuro-fuzzy and rough neural expert systems’ areas. We also observe that many new industrial applications are developed using hybrid expert systems recently.  相似文献   

18.
In the paper infinite-dimensional dynamical control systems described by semilinear abstract differential equations are considered. Using a generalized open-mapping theorem, sufficient conditions for constrained exact local controllability are formulated and proved. It is generally assumed, that the values of admissible controls are in a convex and closed cone with vertex at zero. Constrained exact local controllability of semilinear abstract second-order dynamical systems are also formulated and proved. As an illustrative example, constrained exact local controllability problem for semilinear hyperbolic type distributed parameters dynamical system is solved in details. Some remarks and comments on the existing results for controllability of nonlinear dynamical systems are also presented.  相似文献   

19.
This paper deals with the analysis of robust BIBO-stability of LTI fractional order delay systems in the presence of real parametric uncertainties. Two large classes of these systems, namely retarded and neutral types, are considered. Two theorems are given to check the robust BIBO-stability of these two families of fractional order systems. One of these theorems provides necessary and sufficient conditions for the case of retarded type and another one presents only sufficient conditions for the case of neutral type. Furthermore, upper and lower bounds (cutoff frequencies) are provided for drawing the value sets. To illustrate the results, two numerical examples are presented.  相似文献   

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