Journal of the Franklin Institute ( IF 4.1 ) Pub Date : 2021-03-02 , DOI: 10.1016/j.jfranklin.2021.02.034 Vahid Hamdipoor , Jun Moon , Yoonsoo Kim
A link addition problem is considered for a directed linear network in order to improve the network robustness. The robustness of network is quantified through a well-known measure of stability margin. Optimal identification of links such that the stability margin is maximized by their addition, requires solving a complex combinatorial problem. Here two efficient methods are proposed for suboptimal link addition by exploiting the sensitivity being embedded in the derivative of singular value and Lagrange multiplier. Numerical tests are presented to demonstrate the efficacy of the proposed methods.
中文翻译:
鲁棒线性动力学网络的基于灵敏度的链路添加
考虑到有向线性网络的链路添加问题,以提高网络的鲁棒性。网络的健壮性是通过众所周知的稳定性裕量来量化的。链接的最佳标识,以使稳定性裕量通过添加链接而最大化,这需要解决一个复杂的组合问题。在此,通过利用嵌入奇异值和Lagrange乘数的导数中嵌入的灵敏度,提出了两种有效的方法用于次优链路添加。数值测试表明了所提出的方法的有效性。