On robust stability of 2-D discrete systems

Lu W.-S.

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On robust stability of 2-D discrete systems

机译：关于二维离散系统的鲁棒稳定性

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Presents a study on robust stability of two-dimensional (2-D) discrete systems in the Fornasini-Marchesini (F-M) state space setting. A measure of stability robustness of a stable F-M model is defined. The relation of this measure to its counterpart in the Roessor state space and related computational issues are addressed. Three lower bounds of the stability-robustness measure defined are derived using a one-dimensional parameterization approach and a 2-D Lyapunov approach. A numerical example is included to illustrate the main results obtained.

机译：提出了在Fornasini-Marchesini（F-M）状态空间设置中的二维（2-D）离散系统的鲁棒稳定性的研究。定义了稳定F-M模型的稳定性鲁棒性的度量。解决了该度量与其在Roessor状态空间中的对应度量之间的关系以及相关的计算问题。使用一维参数化方法和二维Lyapunov方法导出了定义的稳定性-鲁棒性度量的三个下限。包括一个数值示例，以说明获得的主要结果。

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《IEEE Transactions on Automatic Control》 |1995年第3期|P.502-506|共5页
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Lu W.-S.;
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1. LMI-based criterion for robust stability of 2-D discrete systems with interval time-varying delays employing quantisation/overflow nonlinearities [J] . Anurita Dey, Haranath Kar Multidimensional systems and signal processing . 2014,第3期

机译：基于LMI的具有离散时变时延的二维离散系统鲁棒稳定性的准则，采用量化/溢出非线性
2. Robust stability of 2-D discrete systems described by the Fornasini-Marchesini second model employing quantization/overflow nonlinearities [J] . Kar H., Singh V. IEEE transactions on circuits and systems. II, Express briefs . 2004,第11期

机译：Fornasini-Marchesini第二模型使用量化/溢出非线性描述的二维离散系统的鲁棒稳定性
3. Robust stability test for 2-D continuous-discrete systems with interval parameters [J] . 肖扬系统工程与电子技术（英文版） . 2004,第003期

机译：具有间隔参数的二维连续离散系统的鲁棒稳定性测试
4. Robust stability test for 2-D continuous-discrete systems with interval parameters [C] . Yang Xiao . 2003

机译：具有间隔参数的二维连续离散系统的鲁棒稳定性测试
5. Robust Stability and Stabilization of a Class of Non-Linear Discrete-Time Stochastic Systems. [D] . Strong, Andre' J. 2011

机译：一类非线性离散时间随机系统的鲁棒稳定性和稳定性。
6. Mean square exponential and robust stability of stochastic discrete-time genetic regulatory networks with uncertainties [O] . Qian Ye, Baotong Cui 2010

机译：具有不确定性的随机离散时间遗传调控网络的均方指数和鲁棒稳定性
7. Testing stability of 2-D discrete systems by a set of real 1-D stability Tests [O] . Yuval Bistritz 2004

机译：通过一组真实的一维稳定性测试来测试二维离散系统的稳定性

On robust stability of 2-D discrete systems

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