【摘要】 研究了含有多面体不确定性Delta算子系统的鲁棒稳定性问题,采用线性矩阵不等式技术得出了一个新的参数依赖型Lyapunov稳定条件,此条件中,不确定系统在多面体不同顶点用不同Lyapunov矩阵判断其稳定性。研究结果表明与二次稳定条件相比,所提方法具有较低保守性,数值仿真验证了其可行性和有效性。更多还原

【Abstract】 The problem of robust stability for Delta operator linear systems with convex polytopic uncertainties is studied.A new parameter-dependent robust stability condition is presented by using linear matrix inequalities.New matrix inequality characterization shows the feasibility of parameter-dependent Lyapunov functionals.Compared with quadratic stability condition,the proposed approach is less conservative and the simulation verifies its feasibility and effectiveness.更多还原