Robust stability and stabilization of large-scale descriptor systems with norm-bounded uncertainties

This paper presents a strategy to deal with the problem of robust stability and stabilization of large-scale descriptor systems with uncertainties in both the derivative and state matrices. Using a parameter dependent Lyapunov function, we derive a LMI based sufficient condition for the stability and stabilization of the system. By solving the LMIs, a state feedback decentralized controller is obtained for the closed-loop systems to be quadratically stable. Finally, the numerical example is given to show the effectiveness of the proposed theorems.