Robust Stabilization for Singular Bilinear Systems with Uncertainty
不确定广义双线性系统的鲁棒镇定

The problem of robust stabilization for uncer- tain singular bilinear systems(SBS)with norm-bounded time- varying uncertainties is studied.The purpose of this paper is to design a state feedback controller such that the closed-loop sys- tem is asymptotically stable for all admissible uncertainties.The sufficient conditions of stabilization for SBS with uncertainties in two different conditions are presented respectively via the notion of generated quadratic stability and Lyapunov method.Further- more,effectiveness and rationality of the two design methods are illustrated by two numerical examples respectively.