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Concatenation of LTI Models
LTI model concatenation is done in a manner similar to the way you concatenate matrices in MATLAB, using
sys = [sys1 , sys2]% horizontal concatenation sys = [sys1 ; sys2]% vertical concatenation sys = append(sys1,sys2)% block diagonal appending
In I/O terms, horizontal and vertical concatenation have the following block-diagram interpretations (with
and
denoting the transfer matrices of sys1 and sys2).

You can use concatenation as an easy way to create MIMO transfer functions or zero-pole-gain models. For example,
H = [ tf(1,[1 0]) 1 ; 0 tf([1 -1],[1 1]) ]
append(sys1,sys2)
to specify the block-decoupled LTI model interconnection.

See append for more information on this function.
| Model Interconnection Functions | Feedback and Other Interconnection Functions | ![]() |