LMI-based criterion for robust stability of 2-D discrete systems with interval time-varying delays employing quantisation/overflow nonlinearities

Anurita Dey; Haranath Kar

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LMI-based criterion for robust stability of 2-D discrete systems with interval time-varying delays employing quantisation/overflow nonlinearities

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

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This paper is concerned with the problem of global asymptotic stability of a class of nonlinear uncertain two-dimensional (2-D) discrete systems described by the Fornasini-Marchesini second local state-space model with time-varying state delays. The class of systems under investigation involves norm bounded parameter uncertainties, interval-like time-varying delays and various combinations of quantisation and overflow nonlinearities. A linear matrix inequality-based delay-dependent criterion for the global asymptotic stability of such systems is proposed. An example is given to illustrate the effectiveness of the proposed method.

机译：本文涉及具有时变状态时滞的Fornasini-Marchesini第二局部状态空间模型所描述的一类非线性不确定二维（2-D）离散系统的全局渐近稳定性问题。正在研究的系统类别涉及范数有界的参数不确定性，类似间隔的时变延迟以及量化和溢出非线性的各种组合。针对此类系统的全局渐近稳定性，提出了基于线性矩阵不等式的时滞相关准则。举例说明了所提方法的有效性。

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《Multidimensional systems and signal processing》 |2014年第3期|共20页
作者
Anurita Dey; Haranath Kar;
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正文语种 eng
中图分类通信理论;
关键词
Delayed system; Linear matrix inequality; Lyapunov stability; Nonlinear system; Two-dimensional system; Uncertain system;

机译：时滞系统线性矩阵不等式Lyapunov稳定性非线性系统二维系统不确定系统;

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专利

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. LMI-Based Criterion for the Robust Stability of 2D Discrete State-Delayed Systems Using Generalized Overflow Nonlinearities [J] . AnuritaDey, HaranathKar Journal of control science and engineering . 2011,第1期

机译：基于LMI的2D离散状态时滞系统的鲁棒稳定性准则
3. LMI-Based Criterion for the Robust Stability of ID Discrete State-Delayed Systems Using Generalized Overflow Nonlinearities [J] . Anurita Dey, Haranath Kar Journal of control science and engineering . 2011,第Pta2期

机译：基于LMI的ID离散状态滞后系统鲁棒稳定性的准则，使用广义溢出非线性
4. New LMI Criterion to the Robust Stability of Discrete-Time Systems with Time-Varying Delays and Generalized Overflow Nonlinearities [C] . Pushpendra Kumar Gupta, V. Krishna Rao Kandanvli International conference on VLSI, communication, and signal processing . 2019

机译：具有时变延迟和广义溢出非线性的离散时间系统的鲁棒稳定性的新LMI标准
5. Stabilization and robust stability of discrete-time, time-varying systems. [D] . Dale, Wilbur Nolan. 1991

机译：离散时间随时间变化的系统的稳定性和鲁棒性。
6. An LMI Based Criterion for Global Asymptotic Stability of Discrete-Time State-Delayed Systems with Saturation Nonlinearities [O] . Priyanka Kokil 2014

机译：具有饱和非线性的离散状态时滞系统的全局渐近稳定性的基于LMI的准则
7. New Robust Exponential Stability Criterion for Uncertain Neutral Systems with Discrete and Distributed Time-Varying Delays and Nonlinear Perturbations [O] . Sirada Pinjai, Kanit Mukdasai 2011

机译：具有离散和分布时变延迟和非线性扰动的不确定中性系统的新的强大指数稳定性标准

LMI-based criterion for robust stability of 2-D discrete systems with interval time-varying delays employing quantisation/overflow nonlinearities

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