Revisiting the theory of stability on time scales of the class of linear systemswith structural perturbations

Linear systems of dynamic equations with periodic coefficients and structural perturbations on time scale are analyzed for Lyapunov stability. Sufficient conditions for the asymptotic stability of the equations are established based on the matrix-value concept of Lyapunov’s direct method for all values of the structural matrix from the structural set. A system of two dynamic equations on time scale is considered as an example of applying the theoretical results obtained