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yangxiao55

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ÎÒ×î½üÍê³ÉÒ»¶àʱÖÍÏßÐÔϵͳ·ÂÕæ³ÌÐò: http://www.mathworks.cn/matlabce ... -time-delay-systems
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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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explain the error in the book or paper?
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2Â¥: Originally posted by zhangysu at 2012-08-26 20:17:43
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1. ÎÒÉè¼ÆµÄ³ÌÐò¿ÉÒÔÑéÖ¤ÎÄÏ×[2]µÄÖ÷Òª½á¹ûÊÇ´íµÄ. ¶øÎÄÏ×[2]·¢±íÔÚ¶¥¼¶ÆÚ¿¯:IEEE TRANSACTIONS ON AUTOMATIC CONTROLÉÏ.
[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.
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yangxiao55

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3Â¥: Originally posted by meteop at 2012-08-27 00:12:44
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yangxiao55

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6Â¥: Originally posted by zhangysu at 2012-08-27 17:23:11
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