Journal of Applied Mathematics and Stochastic Analysis 
Volume 11 (1998), Issue 4, Pages 481-492
doi:10.1155/S1048953398000392

Generalized stability of motion of impulsive Lurie-Postnikov systems with structural perturbation

A. A. Martynyuk1 and I. P. Stavroulakis2

 1National Ukrainian Academy of Sciences, Institute of Mathematics, Kiev-57 252057, Ukraine
2University of Ioannina, Department of Mathematics, Ioannina 451 10, Greece
Received 1 February 1997; Revised 1 November 1997

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.