Output of system with system function H1 and H2

Question

Specify output of system with system function H1 and H2 when connected in cascade and in parallel?

Answer 1

When system having input x(t) is linked in cascade with the system H1 and H2 the output of the system comes out to be:

Y (t) =H₂ {H₁ {x (t)}}

When system is linked in parallel output of the system is given by

Y (t) =H₁ x₁ (t) +H₂ x₂ (t).