Modified circle criterion of absolute stability and robustness estimation

机译：绝对稳定性和鲁棒性估计的修正圆准则

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摘要

The modified circle criterion of absolute stability is proposed. This criterion enables to determine bounds of the system multivariable gain stability margins. For physical parameters of the control plant one can find the robust stability bounds within which these parameters can change in arbitrary way.

机译：提出了绝对稳定性的修正圆判据。该标准使得能够确定系统多变量增益稳定性裕度的界限。对于控制工厂的物理参数，可以找到鲁棒的稳定范围，在这些范围内，这些参数可以以任意方式更改。

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《International Conference on Stability and Oscillations of Nonlinear Control Systems》|2018年|1-4|共4页
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V. N. Chestnov; D. V. Shatov;
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Linear matrix inequalities; Stability criteria; Asymptotic stability; Robust stability; Numerical stability; Robustness;

机译：线性矩阵不等式稳定性判据渐近稳定性鲁棒稳定性数值稳定性鲁棒性;

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专利

1. Absolute stability analysis of non-linear active disturbance rejection control for single-input–single-output systems via the circle criterion method [J] . Jie Li, Yuanqing Xia, Xiaohui Qi, Control Theory & Applications, IET . 2015,第15期

机译：单输入单输出系统非线性有源干扰抑制控制的绝对稳定性的圆判据分析
2. Strongly absolute stability problem of descriptor systems: Circle criterion [J] . Chunyu Yang, Qingling Zhang, Linna Zhou Journal of the Franklin Institute . 2008,第5期

机译：广义系统的绝对绝对稳定性问题：圆判据
3. Robust Absolute Stability Criterion for Uncertain Lur'e Differential Inclusion Systems with Time Delay [J] . Jun Huang, Yang Yang, Zhengzhi Han, Circuits, systems, and signal processing . 2012,第6期

机译：不确定时滞Lur'e微分包含系统的鲁棒绝对稳定性判据
4. Modified circle criterion of absolute stability and robustness estimation [C] . V. N. Chestnov, D. V. Shatov International Conference Stability and Oscillations of Nonlinear Control Systems . 2018

机译：绝对稳定性和鲁棒性估算的修改圈子标准
5. Model selection: Consistency and robustness properties of the Schwarz Information Criterion for generalized M-estimation [D] . Machado, Jose Antonio Ferreira. 1989

机译：模型选择：Schwarz信息准则用于广义M估计的一致性和鲁棒性
6. MAD saccade: statistically robust saccade threshold estimation via the median absolute deviation [O] . Benjamin Voloh, Marcus R. Watson, Seth König, 2019

机译：MAD SACCADE：通过中位绝对偏差统计上稳健的扫描阈值估计
7. A Criterion for Robust Stability with Respect to Parametric Uncertainties Modeled by Multiplicative White Noise with Unknown Intensity, with Applications to Stability of Neural Networks [O] . Dragan, Vasile, Stoica, Adrian-Mihail, Morozan, Toader 2015

机译：关于以不确定强度乘以白噪声建模的参数不确定性的鲁棒稳定性的准则，及其在神经网络稳定性中的应用
8. Multivariable Sectors and Nonlinear Stability. Part 2: A Generalization of the Circle Criterion [R] . Kouvaritakis, B., Husband, R. 1981

机译：多变量扇区与非线性稳定性。第2部分：圆标准的推广

Modified circle criterion of absolute stability and robustness estimation

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