This paper is concerned with the finite-time boundedness of two dimensional (2-D) positive continuous-discrete systems in Roesser model. By constructing an appropriate co-positive type Lyapunov function, sufficient conditions of finite-time stability for the nominal 2-D positive continuous-discrete system are established. Sufficient conditions of finite-time boundedness for the addressed system with external disturbances are also proposed. The proposed results are then extended to uncertain cases, where the interval and polytopic uncertainties are considered respectively. Finally, three examples are provided to illustrate the effectiveness of the proposed results.

中文翻译：

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Roesser模型中二维正连续离散系统的有限时间有界性

本文关注的是Roesser模型中二维（2-D）正连续离散系统的有限时间有界性。通过构造适当的共正类型的Lyapunov函数，为标称二维正连续离散系统建立了足够的有限时间稳定性条件。还提出了带有外部干扰的寻址系统的有限时间有界条件。然后将建议的结果扩展到不确定的情况下，分别考虑间隔和多主题不确定性。最后，提供了三个示例来说明所提出结果的有效性。