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yangxiao55

新虫 (小有名气)

应助: 12 (小学生)
金币: 3076.4
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虫号: 1953755
注册: 2012-08-24
性别: GG
专业: 信号理论与信号处理

[交流] 多时滞线性系统仿真已有2人参与

我最近完成一多时滞线性系统仿真程序: http://www.mathworks.cn/matlabce ... -time-delay-systems
程序说明:
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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多维系统理论,多维信号处理

1楼2012-08-25 09:57:41

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yangxiao55

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专业: 信号理论与信号处理

引用回帖:

2楼: Originally posted by zhangysu at 2012-08-26 20:17:43
what do you want to do？
explain the error in the book or paper?

1. 我设计的程序可以验证文献[2]的主要结果是错的. 而文献[2]发表在顶级期刊:IEEE TRANSACTIONS ON AUTOMATIC CONTROL上.
[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.
文献[2]宣称可以给出多时滞系统的稳定边界,但是本程序发现在其宣称的稳定边界内的系统确实不稳定的.
2. 文献[1]中的有关稳定性检验为多时滞系统稳定的充分条件, 尚不能确定多时滞系统的稳定边界.
3. 多时滞系统的稳定边界的确定需要给出多时滞系统稳定的充要条件,目前基于LMI的多时滞系统稳定条件均无法得到多时滞系统的稳定边界.
4. 文献[2]的问题在于其主要结果不是多时滞系统稳定的充要条件, 因此才会出现将不稳定的系统归入稳定集合的情况.
5. 目前, 多时滞系统稳定性方面的许多发表论文, 并不进行系统仿真,读者难以确定其结果在实际应用中是否正确.