An approach to compute and design the delay margin of a large-scale matrix delay equation

An approach to compute and design delay margin of a large-scale matrix delay equation<br>xdot(t) = Ax(t)+Bx(t-tau)<br>matrix set, A and B<br><br>A: random sparse matrixB: random matrix (A+B:stable), symmetric &amp; non-symmetric<br>n=25,50,100,200<br>matrices_A_B1_200.mat is used for delay margin design.<br><br>

一种面向大规模矩阵时滞方程的时滞裕度计算与设计方法，对应的动力学方程为：$dot{x}(t) = Ax(t) + Bx(t- au)$，涉及的矩阵集合为A与B：A为随机稀疏矩阵；B为随机矩阵，需满足$(A+B)$稳定，且涵盖对称与非对称两种形式。矩阵维度$n$的取值为25、50、100、200，本次时滞裕度设计所用的数据集存储于matrices_A_B1_200.mat文件中。