On (h0, h)-stability of autonomous systems. (1992)

• Record Type: Journal Article
• Authors: Liu, Xinzhi
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 5:Number 4(1992)
• Page Start: 331
• Page End: 337
• Publication Date: 1992
• Subjects: stability in terms of two measures -- autonomous systems -- invariance principle -- 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/S1048953392000285
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : In this paper, we discuss the qualitative behavior of a map h along solutions of an autonomous system whose initial values are measured by a second map h 0 . By doing this, we may deal with, in a unified way, several concepts and associated problems, which are usually considered separately. Five theorems on asymptotic stability are given and two examples are worked out.