On the necessity of looped-functionals arising in the analysis of pseudo-periodic, sampled-data and hybrid systems

Briat Corentin; Seuret Alexandre

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On the necessity of looped-functionals arising in the analysis of pseudo-periodic, sampled-data and hybrid systems

机译：关于伪周期，采样数据和混合系统分析中出现循环功能的必要性

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Looped-functionals have been shown to be relevant for the analysis of a wide variety of systems. However, the conditions obtained in previous papers on the analysis of sampled-data, impulsive and switched systems have only been shown to be sufficient for the characterisation of their associated discrete-time stability conditions. We prove here that these conditions are also necessary. This result is derived for a wider class of linear systems, referred to as impulsive pseudo-periodic systems, that encompass periodic, impulsive, sampled-data and switched systems as special cases.

机译：循环功能已被证明与各种系统的分析有关。但是，以前的论文中对采样数据，脉冲和交换系统进行分析所获得的条件仅被证明足以表征其相关的离散时间稳定性条件。我们在这里证明这些条件也是必要的。该结果是针对一类更广泛的线性系统（称为脉冲伪周期系统）得出的，该系统包含周期，脉冲，采样数据和交换系统作为特殊情况。

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《International Journal of Control》 |2015年第12期|共7页
作者
Briat Corentin; Seuret Alexandre;
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正文语种 eng
中图分类控制论、信息论（数学理论）;自动控制、自动控制系统;
关键词
looped-functionals; periodic systems; sampled-data systems; hybrid systems;

机译：循环功能;周期系统;采样数据系统;混合系统;

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专利

1. On the necessity of looped-functionals arising in the analysis of pseudo-periodic, sampled-data and hybrid systems [J] . Briat Corentin, Seuret Alexandre International Journal of Control . 2015,第10a12期

机译：关于伪周期，采样数据和混合系统分析中出现循环功能的必要性
2. A new looped-functional for stability analysis of sampled-data systems [J] . Zeng Hong -Bing, Teo Kok Lay, He Yong Automatica . 2017,第期

机译：一种新的采样数据系统稳定性循环功能
3. Stability analysis of uncertain sampled-data systems with incremental delay using looped-functionals [J] . Seuret Alexandre, Briat Corentin Automatica . 2015,第Null期

机译：使用循环函数的不确定时滞不确定采样数据系统的稳定性分析
4. Stability analysis of rational nonlinear sampled-data control systems: a looped-functional approach [C] . L. G. Moreira, J. M. Gomes Da Silva, D. Coutinho, Annual American Control Conference . 2019

机译：有理非线性采样数据控制系统的稳定性分析：循环函数法
5. Multirate Nonlinear Sampled-Data Systems: Analysis and Design. [D] . Beikzadeh, Hossein. 2014

机译：多速率非线性采样数据系统：分析和设计。
6. Disturbance Modelling for Minimum Variance Control in Adaptive Optics Systems Using Wavefront Sensor Sampled-Data [O] . María Coronel, Rodrigo Carvajal, Pedro Escárate, 2021

机译：使用波前传感器采样数据的自适应光学系统中最小方差控制的扰动建模
7. On the necessity of looped-functionals arising in the analysis of pseudo-periodic, sampled-data and hybrid systems [O] . Briat, Corentin, Seuret, Alexandre 2015

机译：论循环函数分析中出现的循环函数的必要性伪周期，采样数据和混合系统
8. The Development of a Pseudo-Nyquist Analysis Technique for Hybrid Sampled-Data Control Systems [R] . Burnitt, M. G., Davis, C. W. 1973

机译：混合采样数据控制系统伪奈奎斯特分析技术的发展

On the necessity of looped-functionals arising in the analysis of pseudo-periodic, sampled-data and hybrid systems

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