Finding the Exact Value of the Maximum Allowable Upper Bound of the Delay Parameters in the Multiple-Delays LTI Systems

These files are related to the following paper: -R. Abolpour, M. Dehghani, "Finding the Exact Value of the Maximum Allowable Upper Bound of the Delay Parameters in the Multiple-Delays LTI Systems," Journal of Vibration and Control, 2023 The dataset contains details of 10 systems in Example 2 and the results of the proposed method compared to other two previous methods in the literature. The dataset is a mat file which can be opened by Matlab and gives the details of ten systems and the upper bound of delay. t0 gives the details of our proposed method. t1 shows the result of the following paper: Lee, W.I., Lee, S.Y. and Park, P., 2018. Affine Bessel–Legendre inequality: application to stability analysis for systems with time-varying delays. <em>Automatica</em>, <em>93</em>, pp.535-539.<br> t2 presents the result of the following paper: Zeng, H.B., He, Y., Wu, M. and She, J., 2015. Free-matrix-based integral inequality for stability analysis of systems with time-varying delay. <em>IEEE Transactions on Automatic Control</em>, <em>60</em>(10), pp.2768-2772.<br>