Abstract

This paper investigates the absolute stability on ℊs of the zero solution of Lurie-Postnikov systems with impulses and structural perturbation. A number of absolutely stable on ℊs theorems of the Lyapunov type for Lurie-Postnikov systems are proved, extending and generalizing previous work on the subject. These results are applied to some fourth-order Lurie-Postnikov type systems decomposed into two systems.