The parameters of the observers and controller are obtained by solving a group of lmis , and finally a simulation validates the method proposed 最后以线性矩阵不等式可行解的方式分别给出了控制器和观测器的构造方法，仿真结果说明了所提出方法的有效性。
Based on the impulsive theory and linear matrix inequality technique , a sufficient condition for the impulsive synchronization of chaotic dynamical systems is derived 利用脉冲控制理论和线性矩阵不等式的方法，得到了关于混沌系统脉冲同步的一个充分条件。
This dissertation presents some research work about how to design controllers based lmi , in order to employing mrd for seismic - excited buildings 本文主要研究如何利用线性矩阵不等式（ lmi ）理论设计控制器，以便于磁流变阻尼器（ mrd ）更好地进行建筑结构抗震控制。
Once this condition is feasible , a strict linear matrix inequality ( lmi ) design approach is developed with an explicit expression for decentralized state feedback controller 当这组条件可解时，给出了分散状态反馈控制器的严格线性矩阵不等式设计方法和控制律的表达式。
Conditions for energy decoupling with input transformation or both state feedback and input transformation are given in terms of linear matrix inequalities . 3 分别给出了仅具有输入变换、同时具有状态反馈和输入变换情况下的能量解耦方法，结果以线性矩阵不等式的形式给出。
4 . the reduced order filter design for continuous and discrete system is put forward based on linear matrix inequality , and a set of permitted filters are obtained 研究了降阶控制器设计方法，利用线性矩阵不等式理论对连续离散系统设计降阶的滤波器，得到一组容许的滤波器集。
The major contributions of this dissertation are as follows : 1 . the robust stability is studied for a class of discrete systems with the nonlinear perturbations 研究了一类具有非线性扰动不确定离散系统的闭环鲁棒稳定性问题，利用线性矩阵不等式方法得到了该类系统的鲁棒稳定条件。
3 . the stability problems of fmm ii model of 2 - d systems are investigated by using lmi , and some new criteria for asymptotical stability of the systems are given 以线性矩阵不等式作为工具，研究了2 - dfmm模型的稳定性问题，以线性矩阵不等式的形式提出了该类系统渐近稳定的新判据。
According to a delay - dependent stability condition of control systems , a state feedback controller is designed and the madb is obtained in terms of linear matrix inequalities 该方法利用控制系统的时滞相关稳定性条件设计状态反馈控制器，得到最大允许延迟时间，并以线性矩阵不等式的形式描述。
Based on the parameter - dependent lyapunov stability and linear matrix inequality , the sufficient condition for robust stability is derived to enable the systems with delays to be robustly stable 基于参数依赖的李亚普诺夫稳定性和线性矩阵不等式推导出使得时滞鲁棒稳定系统鲁棒稳定的充分条件。
