Trial and Error using mathematica.
- To: mathgroup at smc.vnet.net
- Subject: [mg30696] Trial and Error using mathematica.
- From: teee at i-kool.com (Kritchai)
- Date: Sat, 8 Sep 2001 02:22:53 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Dear sir, Here is my problem, M(s,a1,a2)=a1*(5.5*s+7)+a2*(s^2+0.5*s+2) / (s+1)*(s+10) derived from Laplace Transform (s=jw that w is frequency (red./sec.)). In this case I considered two cases: M(jw,a1=1,a2=1) and M(jw,a1=1,a2=-1). I want to bound the magnitude of M (i.e., |M(jw,a1=1,a2=1)| and |M(jw,a1=1,a2=-1)|) by W(s) at each frequency. In this case the magnitude of M is in dB (Decibel unit). Therefore, my work would be to find a "W(s)" such that |W(jw)^-1*M(jw,a1,a2)| is less than or equal to "one" for all w. This verified by plotting the functions in frequency domain. The following is that I found in the text book- In "analytical" and accurate approach we could have verified that there were no intersections between the two curves by equating them and computing corresponding zeros. I would like you to show me for the algorithm to compute W(s) using MATHEMATICA. Thank you for your kindness and I would be glad to hearing from you soon. Best regards, Kritchai.