On dynamic domain decomposition of controlled networks of elastic strings and joint-masses
On dynamic domain decomposition of controlled networks of elastic strings and joint-masses
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弹性弦和联合质量受控网络的动态域分解
DOI：
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发表时间：
1998
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通讯作者：
G. Leugering
中科院分区：
文献类型：
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作者：
G. Leugering
我们考虑一个平面图，它代表了在该图的顶点上耦合的弹性预拉伸弦网络的参考构形。一些或所有顶点可能带有点质量，在这些节点上可能会发生平面上的干摩擦。我们简要地描述了模型和文献中关于这类系统的适定性和控制性的一些结果。然后，我们引入了一种基于Steklov-Poincare算子的动态区域分解。给出了时间域和频域的分析。根据解耦过程，建立并研究了最优控制和精确能控性问题。
We consider a planar graph representative of the reference configuration of a network of elastic prestretched strings coupled at the vertices of that graph. Some or all of the vertices may carry a point mass, and at those nodes dry friction on the plane may occur. We briefly describe the model and some results on well-posedness and control of such systems obtained in the literature. We then introduce a dynamic domain decomposition based on a Steklov-Poincare-type operator. The analysis is given for the time-domain and the frequency-domain. Optimal control and problems of exact controllability are formulated and investigated in terms of the decoupling procedure.