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带离散不等式约束的LQ最优控制 总被引:1,自引:0,他引:1
陈关荣 《高等学校计算数学学报》1982,(4)
在笔者文[1]中,我们给出了一类实抽象Hilbert空间中对状态变量x和控制变量u带有线性等式约束或带有凸约束并具有二次型代价指标的有限时域线性控制过程最优解(x~*,u~*)的存在唯一性定理及特征性定理,证明了两类约束条件下的最优解分别是Hilbert空间中插值样条函数和凸集上的样条函数。在笔者的文[2]中,又对实Hilbert函 相似文献
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本文给出一个反例,指出Kalman关于他本人提出的标准系统分解的原始证明以及后来孙承启先生在《自动化学报》1984年第3期上发表的证明均是错误的。事实上,如何严格地证明(或反证)这一重要结论尚是一个未有彻底解决的问题。 相似文献
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为了克服Kalman最优线性滤波计算过于复杂的缺点,本文引进“近最优滤波”作为定常离散时间系统中大样本数据过程的一种极限处理,通过使用极限式Kalman增益矩阵,获得一种结构简单使用方便的极限式Kalman最优线性滤波。本文用扩大维数的办法讨论一般的有色噪声过程而把白噪声过程作为特殊情况导出。在近最优α-β-γ轨道滤波器中,我们可以通过对参数的适当选择而克服误差协方差矩阵退化的现象并且由于整个滤波器的结构简单而不致于增大计算量,从而为有色噪声数据过程的线性滤波提供一种可行的途径。在本文中,对有色噪声情形我 相似文献
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研究了带负载电容的DC-DC buck变换器的分岔行为及其混沌控制问题,提到了一些新的有意义的结果.随着负载电容的增加,这种电路系统出现周期叠加序列窗口,且系统混沌运动的参数空间的测度逐渐趋于零,而且系统处在周期运动区时其电压转换效率高于系统处在混沌运动区时的电压转换效率,这些结果对于实际电路的设计具有较好的参考价值.同时,采用外加周期脉冲控制方法,能有效地实现该电路系统中的混沌控制. 相似文献
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A higher-order approximation analytical solution for a current-carrying ion sheath is automatically derived in computer by decomposition method. Chaos behaviors in the system driven by an external periodic oscillation are controlled using feedback control strategy. Its effectiveness is verified by numerical simulations. 相似文献
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Undetermination of the relation between network synchronizability and betweenness centrality 下载免费PDF全文
Betweenness centrality is taken as a sensible indicator of the synchronizability of complex networks. To test whether betweenness centrality is a proper measure of the synchronizability in specific realizations of random networks,this paper adds edges to the networks and then evaluates the changes of betweenness centrality and network synchronizability. It finds that the two quantities vary independently. 相似文献
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Pinning-controlled synchronization of complex networks with bounded or unbounded synchronized regions 下载免费PDF全文
This paper studies pinning-controlled synchronization of complex
networks with bounded or unbounded synchronized regions. To study a
state-feedback pinning-controlled network with N nodes, it first
converts the controlled network to an extended network of N+1
nodes without controls. It is shown that the controlled
synchronizability of the given network is determined by the real
part of the smallest nonzero eigenvalue of the coupling matrix of
its extended network when the synchronized region is unbounded; but
it is determined by the ratio of the real parts of the largest and
the smallest nonzero eigenvalues of the coupling matrix when the
synchronized region is bounded. Both theoretical analysis and
numerical simulation show that the portion of controlled nodes has
no critical values when the synchronized region is unbounded, but it
has a critical value when the synchronized region is bounded. In the
former case, therefore, it is possible to control the network to
achieve synchronization by pinning only one node. In the latter
case, the network can achieve controlled synchronization only when
the portion of controlled nodes is larger than the critical value. 相似文献