具有时变滞后的不确定马尔可夫跳跃系统的鲁棒稳定性(英文)

Robust stabilization of uncertain Markov Jump system with time-varying delays

马尔可夫跳跃线性系统是一类具有随机马尔可夫跳跃参数的线性系统，其应用于结构扰动衰减或变化的模型系统中。研究了具有不确定性跳跃线性时滞系统的鲁棒稳定性，采用线性矩阵不等式（ＬＭＩ）途径，提出并证明了鲁棒稳定性的存在条件，还设计了相应的状态反馈控制器。最后，举例说明这种途径的有效性。

Markov jump linear systems are defined as a family of linear systems with randomly Markov Jumping parameters and are used to model systems subject to failures or changes in structure. The authors study the robust stabilization of jump linear delay system with uncertainty. By using of linear matrix inequality. (LMI) approach, they present and prove the existence conditions of robust stabilizing as well the designing of state feedback controller. Finally, an illustrated example shows the effectiveness of this approach.