Generalized stability of motion of impulsive Lurie-Postnikov systems with structural perturbation. (1998)

• Record Type: Journal Article
• Authors: Martynyuk, A. A.; Stavroulakis, I. P.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 11:Number 4(1998)
• Page Start: 481
• Page End: 492
• Publication Date: 1998
• Subjects: absolute stability on ℊs -- matrix-valued Lyapunov function; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953398000392
• Languages: English
• ISSNs: 1048-9533

Abstract

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