Stability Analysis of State Saturation 2D Discrete Time-Delay Systems Based on F-M Model
Stability Analysis of State Saturation 2D Discrete Time-Delay Systems Based on F-M Model
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DOI：
10.1155/2013/749782
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发表时间：
2013-12
影响因子：
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通讯作者：
Dongyan Chen;Hui Yu
中科院分区：
文献类型：
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作者：
Dongyan Chen;Hui Yu
研究了由 Fornasini-Marchesini (F-M) 模型描述的一类状态饱和二维 (2D) 离散时滞系统的稳定性分析问题。允许延迟是有界时变函数。通过构造时滞相关的二维离散李雅普诺夫泛函并引入非负标量 ，提出了保证所解决系统的全局渐近稳定性的充分条件。随后，该准则被转换为线性矩阵不等式（LMI），可以使用标准数值软件轻松测试。最后，给出两个数值例子来说明所提出的稳定性准则的有效性。
The problem of stability analysis is investigated for a class of state saturation two-dimensional (2D) discrete time-delay systems described by the Fornasini-Marchesini (F-M) model. The delay is allowed to be a bounded time-varying function. By constructing the delay-dependent 2D discrete Lyapunov functional and introducing a nonnegative scalar , a sufficient condition is proposed to guarantee the global asymptotic stability of the addressed systems. Subsequently, the criterion is converted into the linear matrix inequalities (LMIs) which can be easily tested by using the standard numerical software. Finally, two numerical examples are given to show the effectiveness of the proposed stability criterion.