A delay-dependent criterion for robust absolutely stability of uncertain Lurie type control systems

This paper focuses on the problem of robust stability for a class of general Lurie indirect type control systems with time delay and time-variant uncertainty. Based on an improved inequality and Lyapunov stability theory, a new delay-dependent robust absolute stability criterion is derived. The result is given in terms of linear matrix inequalities, where efficient solution procedures are available. Numerical example is presented to illustrate the results.