A new estimate of the stability regions of large-scale systems

Abstract A new estimate of the stability region of a large-scale system is presented under the assumption that the system can be decomposed into subsystems and each subsystem has a second-order Lyapunov function. This estimate is potentially larger than those previously obtained by Weissenberger and by Bitsoris and Burgat, especially when the subsystems have Lyapunov functions with strongly-eccentric isoplethic curves. As with the example studied in this paper, the new estimate is considerably larger than that of Weissenberger.