Generalized practical stability results by perturbing Lyapunov functions. (1996)

• Record Type: Journal Article
• Authors: Stutson, Donna; Vatsala, A. S.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 9:Number 1(1996)
• Page Start: 69
• Page End: 75
• Publication Date: 1996
• Subjects: practical stability -- perturbing Lyapunov functions; 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/S104895339600007X
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : It is known that practical stability is neither stronger nor weaker than Lyapunov stability. In this paper we combine perturbing Lyapunov technique with stability in terms of two measures to obtain nonuniform practical stability results under weaker assumptions. We also use comparison methods to obtain these results.