Stochastic stability analysis for 2-D Roesser systems with multiplicative noise
Stochastic stability analysis for 2-D Roesser systems with multiplicative noise
复制标题
具有乘性噪声的二维 Roesser 系统的随机稳定性分析
DOI：
10.1016/j.automatica.2016.03.006
复制
发表时间：
2016
期刊：
影响因子：
6.4
通讯作者：
Shi Peng
中科院分区：
文献类型：
--
作者：
Ahn Choon Ki;Wu Ligang;Shi Peng
研究了Roesser形式的二维离散状态乘性噪声系统的鲁棒随机稳定性。首先，我们得到了一个新的充分条件下，线性离散2-D SMNS是2-D鲁棒随机稳定的。基本问题，然后可以重铸为线性矩阵不等式表示的凸问题，这可以方便地使用现有的数值算法。然后，我们应用所得到的结果来检查的2-D鲁棒随机稳定性的2-D数字滤波器的Roesser形式的随机系数变化和饱和溢出算法的基础上的自由加权矩阵和对角占优矩阵。一个说明性的例子来验证所提出的结果的有用性和潜力。
This paper is concerned with the robust stochastic stability analysis for two-dimensional (2-D) discrete state-multiplicative noisy systems (SMNSs) in the Roesser form. We first derive a new sufficient condition under which linear discrete 2-D SMNSs are 2-D robustly stochastically stable. The underlying problem can then be recast as a convex problem expressed by linear matrix inequalities, which can be facilitated using existing numerical algorithms. We then apply the obtained result to examine the 2-D robust stochastic stability for 2-D digital filters in the Roesser form with random coefficient variation and saturation overflow arithmetic based on free-weighting matrices and diagonally dominant matrices. An illustrative example is presented to verify the usefulness and potential of the proposed results.