Estimating the Parameter 'a' from ODE System

[Bita_La]

Hi everyone
I have a system of ODE as follows
x1_dot=f1(t)-ax1
x2_dot=f2(t)-ax2
x3_dot=f3(t)-ax3

f1,2,3(t) are unknown nonlinear functions of time, a is constant and unknown, x1,2,3 and their derivatives are given. How can I estimate the parameter a from the given information?
Thanks

 

[SteamKing]

Hi everyone
I have a system of ODE as follows
x1_dot=f1(t)-ax1
x2_dot=f2(t)-ax2
x3_dot=f3(t)-ax3

f1,2,3(t) are unknown nonlinear functions of time, a is constant and unknown, x1,2,3 and their derivatives are given. How can I estimate the parameter a from the given information?
Thanks

It's not clear what information you are given, besides the form of the equations. Do you have some initial values given which occur at a certain time t ?

 

[Bita_La]

It's not clear what information you are given, besides the form of the equations. Do you have some initial values given which occur at a certain time t ?

It's not clear what information you are given, besides the form of the equations. Do you have some initial values given which occur at a certain time t ?

Thanks for your reply. Yes, I know x1(0)=x2(0)=x3(0)=1