LMI approach to robust stability of 2D filters with finite-word length

机译：LMI具有有限字长度的2D滤波器的稳定性稳定性

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In this paper, we investigate the problem of stability of a class of linear two-dimensional (2D) digital filters when implemented on finite word-length machines and subject to uncertain variations in the parameters. A necessary and sufficient robust stability condition is developed and expressed in terms of a system of linear matrix inequalities (LMIs). Two examples are presented to illustrate the developed theory.

机译：在本文中，我们在有限字长机器上实施时，研究了一类线性二维（2D）数字滤波器的稳定性问题，并受参数的不确定变化。以线性矩阵不等式（LMI）的系统而开发并表达了必要和充分的稳定稳定性条件。提出了两个示例以说明发达的理论。

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《International Conference on Microelectronics》|2000年||共4页
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Mahmoud M.S.;
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中图分类自动化技术、计算机技术;
关键词
two-dimensional digital filters; linear network analysis; circuit stability; matrix algebra; roundoff errors; LMI approach; robust stability; 2D filters; finite-word length; stability; linear 2D digital filters; finite word-length machines; robust stabil;

机译：二维数字过滤器;线性网络分析;电路稳定性;矩阵代数;循环误差;LMI方法;鲁棒稳定性;2D过滤器;有限字长;稳定性;线性2D数字滤光器;有限的话语长度;

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2. LMI APPROACH TO ROBUST FILTERING FOR DISCRETE TIME-DELAY SYSTEMS WITH NONLINEAR DISTURBANCES [J] . Huijun Gao, Changhong Wang Asian Journal of Control . 2005,第2期

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3. LMI approach to robust H-infinity filtering for neutral delay differential systems [J] . Park JH., Kwon O., Won S. Applied mathematics and computation . 2004,第1期

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4. LMI approach to robust stability of 2D filters with finite-word length [C] . Mahmoud M.S. International Conference on Microelectronics . 2000

机译：LMI具有有限字长度的2D滤波器的稳定性稳定性
5. Robust and reduced order H-infinity filtering via LMI approach and its application to fault detection. [D] . Kim, Young-Man. 2006

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6. Robust Kalman Filtering Cooperated Elman Neural Network Learning for Vision-Sensing-Based Robotic Manipulation with Global Stability [O] . Xungao Zhong, Xunyu Zhong, Xiafu Peng 2013

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7. A Robust Delay-Dependent Approach to Design Globally Robust State Estimator,Robust Passivity and Stochastic Robust Stability under External Disturbance for Uncertain Transcriptional Regulatory Networks with Time-Varying Delays---An LMI Approach [O] . 盧建余 2012

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LMI approach to robust stability of 2D filters with finite-word length

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