摘要：The set of controllers which make closed-loop quadratically stable can be implicitly parametrized by the solutions Q, Y of a system of Linear Matrix Inequalities (LMIs). The paper is concerned with obtaining linear perturbation bounds for the continuous and discrete-time LMI based quadratic stability problem, which are linear functions of the data perturbations. The sensitivity analysis of the perturbed matrix inequalities is considered in a similar manner as for perturbed matrix equations, after introducing a suitable right hand part, which is slightly perturbed. The proposed approach leads to tight linear perturbation bounds for the LMIs’ solutions to the quadratic stability problem. Numerical examples are also presented.
关键词：Perturbation analysis; quadratic stability problem; LMI based synthesis;Linear systems.
