Abstract: Network controllability in structured networks, characterized by edge weights as either zero or non-zero, is an emerging research area. This field has grappled with determining the dimension ...

In this manuscript, we consider the matrix Sylvester Volterra integro-dynamic system on time scales Y Δ (t) = A(t)Y (t) + Y (t)B(t) + μ(t)A(t)Y (t)B(t) + ∫ t t0 (L 1 (t, s)Y (s) + Y (s)L 2 (t, s))Δs + ...