QUADRATIC APPROXIMATION AND TIME-VARYING FEEDBACK LAWS

Coron Jean-Michel; Rivas Ivonne

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QUADRATIC APPROXIMATION AND TIME-VARYING FEEDBACK LAWS

机译：二次近似值和时变反馈法

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摘要

We present a method to construct stabilizing time-varying feedback laws for a large class of systems. We apply our technique to several classical examples which do not satisfy the necessary Brockett condition or the Coron condition for stabilization by means of continuous stationary feedback laws.

机译：我们提出了一种构建稳定时变化的反馈法律的方法，用于大类系统。我们将技术应用于几种经典示例，该实例不满足必要的Brockett条件或通过连续固定反馈法律稳定的铸件条件。

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《SIAM Journal on Control and Optimization》 |2017年第6期|共24页
作者
Coron Jean-Michel; Rivas Ivonne;
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作者单位

Univ Pierre &

Marie Curie Paris 6 Lab Jacques Louis Lions UMR 7598 F-75005 Paris France;

Univ Pierre &

Marie Curie Paris 6 Lab Jacques Louis Lions UMR 7598 F-75005 Paris France;

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原文格式 PDF
正文语种 eng
中图分类运筹学;控制论、信息论（数学理论）;
关键词
stability; controllability; missing directions;

机译：稳定性;可控性;缺少方向;

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专利

1. QUADRATIC APPROXIMATION AND TIME-VARYING FEEDBACK LAWS [J] . Coron Jean-Michel, Rivas Ivonne SIAM Journal on Control and Optimization . 2017,第6期

机译：二次近似值和时变反馈法
2. Dynamic output feedback control based on virtual feedback control law for planar switched nonlinear systems with time-varying delays and multiple subsystems [J] . Wei Zheng, Hongbin Wang, Hongrui Wang, Advances in Difference Equations . 2018,第1期

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3. Approximation-based Adaptive Tracking Control of Nonlinear Pure-feedback Systems with Time-varying Output Constraints [J] . Kim Bong Su, Yoo Sung Jin International Journal of Control, Automation, and Systems . 2015,第2期

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4. Output feedback stabilization of hydraulic drives based on quadratic approximations and canonical observers [C] . H.Schwarz, M.Senger IFAC symposium on robot control;SYROCO'97 . 1998

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5. Non-convex Quadratically Constrained Quadratic Programming: Hidden Convexity, Scalable Approximation and Applications [D] . Konar, Aritra. 2017

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6. Importance of convective boundary layer flows with inhomogeneous material properties under linear and quadratic Boussinesq approximations around a horizontal cylinder [O] . Sunday Iyiola Opadiran, Samuel Segun Okoya 2021

机译：对流边界层在水平圆筒周围线性和二次Boussinesq近似下的非均匀材料特性流动的重要性
7. Quadratic approximation and time-varying feedback laws [O] . Coron, Jean-Michel, Rivas, Ivonne 2016

机译：二次逼近和时变反馈定律

QUADRATIC APPROXIMATION AND TIME-VARYING FEEDBACK LAWS

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