GENERALIZED STABILITY OF MOTION OF IMPULSIVE LURIE-POSTNIKOV SYSTEMS WITH STRUCTURAL PERTURBATION

This paper investigates the absolute stability on Os of the zero solution of Lurie-Postnikov systems with impulses and structural perturbation. A number of absolutely stable on s 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 LuriePostnikov type systems decomposed into two systems.