Question: Is there a better way to connect two or more transfer functions?

I have two transfer functions,tf1,tf2, which describing two linear systems respectively.


Sometimes, the transfer function is very complex which contains so many symbols, and retyping them manually is very time consuming.

Now, I want to connect them in series,namely,tf3:=tf1*tf2, of course, I can extract them respectively,that is,

a:=tf1:-tf[1,1],b=tf2:-tf[1,1],then multiply a and b,c:=a*b,and finally,convet c to a transfer function,tf3:=TransferFunction(c).You see, this way is long-winded.

Is there any better way to connect two transfer functions?

I'm a begginner in maple, thank you in advance.

Best regards.

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