Delay-range-dependent Robust Stability for Uncertain Singular Systems with Interval Time-varying Delays

摘要

In this paper, we consider the delay-range- dependent robust stability problem of uncertain singular system with interval time-varying delays. Stability criteria, which guarantee the concerned singular system is regular, free and stable, is derived in terms of linear matrix inequalities (LMIs) by introducing some identical equations with integral inequality approach (IIA) and using the Leibniz-Newton formula to reduce the conservatism of the results. The upper bound of time-delay can be obtained by using the modified generalized eigenvalue minimization problem (GEVP) technique such that the system can be stabilized for all time-delays. Finally, numerical examples show the method presented in our paper is more effective and less conservative than the existing ones.