Stability criteria of sector- and slope-restricted Lur'e systems

PooGyeon Park

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Stability criteria of sector- and slope-restricted Lur'e systems

机译：受扇区和坡度限制的Lur'e系统的稳定性标准

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Presents stability criteria of sector- and slope-restricted Lur'e systems, in terms of linear matrix inequalities, by fully exploiting inherent properties of sector and slope restrictions in the time domain. Interpreting the time-domain criteria in the frequency domain, furthermore, supplies simpler expressions. Several examples show excellent performances of these criteria

机译：通过充分利用时域中扇区和斜率限制的固有属性，提出了线性矩阵不等式方面的扇区和斜率限制的Lur'e系统的稳定性标准。此外，在频域中解释时域标准可提供更简单的表达式。几个示例显示了这些标准的出色表现

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《IEEE Transactions on Automatic Control》 |2002年第2期|p.308-313|共6页
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PooGyeon Park;
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正文语种 eng
中图分类自动化系统;
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Lyapunov methods; control nonlinearities; frequency-domain analysis; matrix algebra; stability criteria; time-domain analysis; frequency domain; linear matrix inequalities; nonlinearities; sector-restricted Lur'e systems; slope-restricted Lur'e systems; stability c;

机译：Lyapunov方法;控制非线性;频域分析;矩阵代数;稳定性准则;时域分析;频域;线性矩阵不等式;非线性;扇区受限Lur'e系统;斜率受限Lur'e系统;稳定性c;

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专利

1. LMI-Based Stability Criteria for Discrete-Time Lur'e Systems With Monotonic, Sector- and Slope-Restricted Nonlinearities [J] . Ahmad N. S., Heath W. P., Li G. Automatic Control, IEEE Transactions on . 2013,第2期

机译：具有单调，扇形和斜率约束非线性的离散时间Lur'e系统的基于LMI的稳定性准则
2. Networked Reliable Synchronization of Chaotic Lur'e Systems with Sector- and Slope-Restricted Nonlinearities [J] . Yang Dedong Circuits, systems, and signal processing . 2016,第5期

机译：具有扇区和坡度受限非线性的混沌Lur'e系统的网络可靠同步
3. An improved stability criterion for discrete-time Lur'e systems with sector- and slope-restrictions [J] . Park Bum Yong, Park PooGyeon, Kwon Nam Kyu Automatica . 2015,第Null期

机译：具有扇区和斜率约束的离散时间Lur'e系统的改进稳定性准则
4. State Feedback Control of Discrete-Time Lur'e Systems with Sector-Bounded Slope-Restricted Nonlinearities [C] . Sandra C. Wells, Anastasia Nikolakopoulou, Richard D. Braatz Annual American Control Conference . 2021

机译：具有扇形限制斜率限制非线性的离散时间LUR'E系统的状态反馈控制
5. Absolute stability of large-scale Lur'e-Postnikov systems. [D] . Cheng, Enya. 2011

机译：大规模Lur'e-Postnikov系统的绝对稳定性。
6. Stability criteria on delay-dependent robust stability for uncertain neutral stochastic nonlinear systems with time-delay [O] . Tengyu Ma, Longsuo Li -1

机译：具有时滞的不确定中立随机非线性系统的时滞相关鲁棒稳定性的稳定性判据
7. Novel Delay-Decomposing Approaches to Absolute Stability Criteria for Neutral-Type Lur’e Systems [O] . Liang-Dong Guo, Sheng-Juan Huang, Li-Bing Wu 2019

机译：中性型LUR'e系统绝对稳定标准的新型延迟分解方法
8. Multivariable Sectors and Nonlinear Stability. Part 1: The Use of Sectors in the Derivation of Stability Criteria for Nonlinear Multivariable Systems [R] . Husband, R., Kouvaritakis, B. 1981

机译：多变量扇区与非线性稳定性。第1部分：非线性多变量系统稳定性判据推导中的区域使用

Stability criteria of sector- and slope-restricted Lur'e systems

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