Absolute stability criteria for a class of nonlinear singular systems with time delay (Q2518103)

The paper studies the absolute stability of a class of nonlinear singular systems with constant delay. The uncertainties are norm-bounded. By applying an integral inequality and constructing a Lyapunov-Krasovskii function, they derive some new delay-independent and delay-dependent stability conditions in terms of linear matrix inequality which can be solved numerically using the effective interior-point algorithm. Two numerical examples are given to illustrate the feasibility and effectiveness of the developed technique.