Simulate recursive function in simulink

I want to solve the point kinetic equations in simulink as given below

where rho, beta, lamda are all constants. I need to know the method of simulating recursive functions in simulink

[Aquatris]

This looks like a simple ODE. Which part do you think is the recursive function here?

[Gary]

The second equation is used in first , the value of Ci and n(t) from the first equation is used in second. btw i varies from 1 to 6.

[Walter Roberson]

I do not believe that Simulink can handle recursion, except that a MATLAB Function Block can potentially be coded recursively.

[Paul]

Agree with @Aquatris. This looks like an ODE with state variables n(t) and C_i(t), i = 1-6. Any instant in time the states are known and can be use to compute the state derivatives.

Answer 1

[Aquatris]

I did not care about the dimensions at all while creating the simulink model so some adjustment might be necessary but this is one way to do it. Keep in mind you can represent [ sum of lamda_i * c_i ] as a matrix multiplication , i.e.,

[Gary]

I was looking for physical implementation of this equation in some kind of hardware (not just behavioural one). I mean to have 6 groups of equations culminating in final generation of n(t). Is that possible in simulink?

[Aquatris]

It is possible with the Simulink model I shared. 6 equation means you will be doing matrix algebra, that is about the only difference in implementation between a single state model and multi-state model.