Journal of Applied Mathematics and Stochastic Analysis
Volume 13 (2000), Issue 1, Pages 85-92
doi:10.1155/S1048953300000095
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.