Stability investigation of quadratic systems with delay. (2000)

• Record Type: Journal Article
• Authors: Davydov, Vladimir; Khusainov, Denis
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 13:Number 1(2000)
• Page Start: 85
• Page End: 92
• Publication Date: 2000
• Subjects: quadratic differential system -- Lyapunov function -- asymptotic stability -- delay; 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/S1048953300000095
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : Systems of differential equations with quadratic right-hand sides with delay are considered in the paper. Compact matrix notation form is proposed for the systems of such type. Stability investigations are performed by Lyapunov's second method with functions of quadratic form. Stability conditions of quadratic systems with delay, uniformly by argument deviation, and with delay depending on the system's parameters are derived. A guaranteed radius of the ball of asymptotic stability region for zero solution is obtained.