In this manuscript, we consider the matrix Sylvester Volterra integro-dynamic system on time scales YΔ(t) = A(t)Y (t) + Y (t)B(t) + μ(t)A(t)Y (t)B(t) + ∫tt0(L1(t, s)Y (s) + Y (s)L2(t, s))Δs + C(t)U(t). In this system convert to an equivalent system of Kronecker product Volterra integro- dynamic system on time scales with the help of a vectorization operator. we establish a sufficient condition for the controllability, observability, and stability aspects of the matrix Sylvester Volterra integro-dynamic system on time scales. Moreover, generalize to a time scales some known properties relating to stability from the case of continuous analysis.2010 Mathematics Subject Classification. Primary:34A37. Secondary:34N05, 34D05, 45D05.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.