Guaranteed cost control for uncertain singular bilinear systems with time-delay

In the paper, complex systems that combine singular systems and bilinear systems with time-delay are studied. Guaranteed cost control for a class of uncertain singular bilinear system with time-delay is analysed by using spreaded Lyapunov function under the condition that a singular system is admissible. At the same time, stabilization for a uncertain singular bilinear system with time-delay is discussed. Considering the complexity of problems, the existing conditions of stable controlling and guaranteed cost controlling are given by using Lyapunov function and applying method of enlargement in the set domain simultaneously. Related theory for a singular bilinear system with time-delay lying between nonlinear and linear are solved.