Further results for robust stability of homogeneous large-scale bilinear systems with time delays and uncertainties
In this paper, the problem of stability analysis for homogeneous large-scale time-delay bilinear systems subjected to uncertainties is considered. Two classes of uncertainty are treated: nonlinear uncertainties and parametric uncertainties. By making use of the Lyapunov stability approach associated with solution bounds of the Lyapunov equation, two delay-independent criteria are presented to guarantee the robust stability of the overall systems. The stability condition for the mentioned system with nonlinear uncertainties is sharper than that of a previous work. The main feature of the schemes presented is that they do not involve any Lyapunov equation which may be unsolvable although the Lyapunov stability theorem is used.
uncertainty time-delay homogeneous bilinear system constrained input transient response