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区间动力系统的鲁棒稳定性分析 总被引:1,自引:0,他引:1
本文研究区间系统的鲁棒稳定性问题 ,把连续区间系统的鲁棒Hurwtiz稳定和离散区间系统的鲁棒Schur稳定的问题等价转换于一参数扰动矩阵集的鲁棒非奇异问题 ,然后给出鲁棒Hurwtiz稳定和鲁棒Schur稳定的基于 μ 分析的充分必要条件 . 相似文献
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同时求解f(x)零点的一种迭代解法 总被引:2,自引:0,他引:2
1 引 言在许多实际问题中 ,常常会遇到求解非线性方程 f( x) =0的根 ,或称为求函数 f( x)的零点 .此时 f( x) =( x-α) μg( x) ,且 g(α)≠ 0 ,μ为大于零的常数 ,称为零点α的根指数 .当 f( x)为 n次多项式 ,设 δ(l)k =-f( z(l)k ) /f′( z(l)k ) ,牛顿修正量迭代解法为z(l+1 )k =z(l)k +δ(l)k /( 1 +δ(l)k ni=1 ,i≠ k1z(l)k -z(l)i) , k =1 ,2 ,… ,n, l =0 ,1 ,2 ,… ( 1 )当所有根为单根时 ,迭代法收敛 ,且收敛阶为 3阶 (见 [1 ] ,[2 ] ,[3 ] ,[4 ] ) .当 f ( x)为 n次多项式 ,所有互不相同的根为 r1 ,r2 ,… ,rm,对应… 相似文献
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In this paper, we consider multi-agent consensus problems
in a decentralised fashion. The interconnection topology graph among
the agents is switching and undirected. The agent dynamics is
expressed in the form of a double integrator model. Two different
cases are considered in this study. One is the leader-following case
and the other is leaderless case. Based on graph theory and common
Lyapunov function method, some sufficient conditions are obtained
for the consensus stability of the considered systems with the
neighbour-based feedback laws in both leader-following case and
leaderless case respectively. Finally, two numerical examples are
given to illustrate the obtained results. 相似文献
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In this paper, the consensus problem with position sampled data for second-order multi-agent systems is investigated.The interaction topology among the agents is depicted by a directed graph. The full-order and reduced-order observers with position sampled data are proposed, by which two kinds of sampled data-based consensus protocols are constructed. With the provided sampled protocols, the consensus convergence analysis of a continuous-time multi-agent system is equivalently transformed into that of a discrete-time system. Then, by using matrix theory and a sampled control analysis method, some sufficient and necessary consensus conditions based on the coupling parameters, spectrum of the Laplacian matrix and sampling period are obtained. While the sampling period tends to zero, our established necessary and sufficient conditions are degenerated to the continuous-time protocol case, which are consistent with the existing result for the continuous-time case. Finally, the effectiveness of our established results is illustrated by a simple simulation example. 相似文献
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针对基因表达谱信息基因提取的问题,使用Wilcoxon秩和检验方法进行"无关基因"的剔除,基于高低水平基因表达的特点,建立了关于高/低表达水平的双线性回归模型,基于残差分析提取了19个特征基因.使用启发式宽度优先搜索算法搜索最优基因子集,确定结肠癌的基因"标签",运用支持向量机对分类效果进行检验,分类效果良好. 相似文献
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