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Uniform Exponential Stability in Switched Linear Systems: A Lagrange Duality Approach

机译：线性切换系统的均匀指数稳定性：Lagrange对偶方法

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摘要

The present communication concerns with uniform exponential stability, under arbitrary switching, in discrete-time switched linear systems. Two different, but equivalent, necessary and sufficient conditions for uniform exponential stability in switched li

机译：在离散时间交换线性系统中，目前在任意切换下的均匀指数稳定性的通信问题。两种不同，但相当，必要的，有足够的条件，用于切换锂的均匀指数稳定性

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《Annual American Control Conference》|2020年|2894-2900|共7页
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作者
Federico Najson;
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关键词
Switches; Linear systems; Control theory; Stability; Dynamic programming; Linear matrix inequalities; Switched systems;

机译：开关;线性系统;控制理论;稳定性;动态规划;线性矩阵不等式;开关系统;

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1. A Lagrange duality characterisation for stability under arbitrary switching in switched positive linear systems [J] . Najson Federico International Journal of Control . 2016,第4a6期

机译：切换正线性系统中任意切换下的稳定性的Lagrange对偶特征
2. A Lagrange duality approach to state-feedback stabilisability in switched positive linear systems [J] . Najson Federico International Journal of Control . 2015,第1a3期

机译：切换正线性系统中状态反馈稳定性的拉格朗日对偶方法
3. Sufficient and necessary conditions for discrete-time nonlinear switched systems with uniform local exponential stability [J] . Lu Junjie, She Zhikun International journal of systems science . 2016,第13a16期

机译：具有一致局部指数稳定性的离散时间非线性切换系统的充要条件
4. Uniform Exponential Stability in Switched Linear Systems: A Lagrange Duality Approach [C] . Federico Najson American Control Conference . 2019

机译：交换线性系统中的均匀指数稳定性：拉格朗日二元性方法
5. Data-Driven H∞ Loop-Shaping Controller Design and Stability of Switched Nonlinear Feedback Systems with Average Time-Variation Rate [D] . Sung, Yu-chen. 2019

机译：数据驱动的H∞环形整形控制器设计和具有平均时间变化率的交换非线性反馈系统的稳定性
6. P-th moment and almost sure stability of stochastic switched nonlinear systems [O] . Haibo Gu, Caixia Gao -1

机译：随机切换非线性系统的P阶矩和几乎确定的稳定性
7. Robust periodic stability implies uniform exponential stability of Markovian jump linear systems and random linear ordinary differential equations [O] . Xiongping Dai 2014

机译：坚固的周期稳定性意味着马尔可夫跳跃线性系统和随机线性常微分方程的均匀指数稳定性

Uniform Exponential Stability in Switched Linear Systems: A Lagrange Duality Approach

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