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ÎÒ×î½üÍê³ÉÒ»¶àʱÖÍÏßÐÔϵͳ·ÂÕæ³ÌÐò: http://www.mathworks.cn/matlabce ... -time-delay-systems ³ÌÐò˵Ã÷: In our book [1], we some stability test theorems for linear time-delay system. To verify our stability test theorems and others' stability test algorithms [2], we provide this simulation program of time-delay systems. You can use the program, to find that the results of [2] are incorrecct. The following example is taken from the case 1 of [2], where [2] claimed to found a stable region for the time-delay system of case 1,however, the simulation shows that the the time-delay system of case 1 is unstable, dx(t)/dt=Ax(t)+B1x(t-t1)+B2x(t-t2)+B3x(t-t1)+B4x(t-t4) with delay parameters: t1=.4;t2=.5; t3=.169;t4=0.26. Thus, the main results of [2] are incorrect. [1] Yang Xiao, Yingkang Zhang, Multidimensional Signal Processing and Multidimensional Systems, Publishing House of Electronics Industry, Beijing, 2011. [2] Rifat Sipahi and Ismail Ilker Delice, Advanced Clustering With Frequency Sweeping Methodology for the Stability Analysis of Multiple Time-Delay Systems,IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 56, NO. 2, 2011, pp.467-472. [ Last edited by yangxiao55 on 2012-8-25 at 10:00 ] |
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