System of eqs

**Mollier** · November 16th 2010, 10:51 AM

Hi,

given the following system,

$ \begin{aligned} v(t_1) &=& b_1 + b_2e^{-t_1/b_3} + b_4e^{-t_1/b_4} \\ v(t_2) &=& b_1 + b_2e^{-t_2/b_3} + b_4e^{-t_2/b_4} \\ v(t_3) &=& b_1 + b_2e^{-t_3/b_3} + b_4e^{-t_3/b_4} \\ v(t_4) &=& b_1 + b_2e^{-t_4/b_3} + b_4e^{-t_4/b_4} \\ \end{aligned} $

where times $t_1,\dots,t_4$ and measurements $v(t_1),\cdots,v(t_4)$ are known, find constants $b_1,\dots,b_4$ .

I have not had much about nonlinear systems, but perhaps Newton's would work well enough for something like this. What do you guys think?

**Ackbeet** · November 16th 2010, 10:57 AM

Sure. It looks a bit different, but I think it would work well for your application.

**Mollier** · November 16th 2010, 11:02 AM

Thanks for the quick reply!

**Ackbeet** · November 16th 2010, 11:05 AM

You're welcome. Have a good one!

Thread: System of eqs

LinkBack

Thread Tools

Display

System of eqs

Similar Math Help Forum Discussions

1-cos LTI system

Transfer Funtion for a cascade system and sub system

Where is 50% on Log System?

System in R2

System in C

Search Tags