A Novel Stabilizing Controller Design for Singular Delayed Systems: An Optimization Approach

This paper studies the problem of stabilization for a class of linear singular time-delay systems. First, a delay-dependent stability criterion is developed within the context of Lyapunov stability theory and linear matrix inequalities. The stability result is then extended to obtain a stabilizing state-feedback controller within the bilinear matrix inequalities (BMI) framework. Employing the cone complementary linearization approach, the synthesis problem can be resolved through a set of LMI conditions. Several numerical examples are presented to illustrate the application of the theoretical results.