Tree-Based Algorithms for the Stability of Discrete-Time Switched Linear Systems Under Arbitrary and Constrained Switching

Fabio Dercole; Fabio Della Rossa

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Tree-Based Algorithms for the Stability of Discrete-Time Switched Linear Systems Under Arbitrary and Constrained Switching

机译：基于树的离散切换线性系统在任意约束切换下的稳定性算法

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摘要

We present a direct approach to study the stability of discrete-time switched linear systems that can be applied to arbitrary switching, as well as when switching is constrained by a switching automaton. We explore the tree of possible matrix products, by

机译：我们提出了一种直接的方法来研究离散时间切换线性系统的稳定性，该系统可以应用于任意切换，以及当切换受自动机约束时。我们通过以下方式探索可能的矩阵乘积的树

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来源
《IEEE Transactions on Automatic Control》 |2019年第9期|3823-3830|共8页
作者
Fabio Dercole; Fabio Della Rossa;
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作者单位

Dipartimento di Elettronica Informazione e Bioingegneria Politecnico di Milano Milan Italy;

Department of Mechanical Engineering University of New Mexico Albuquerque NM USA;

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原文格式 PDF
正文语种 eng
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关键词
Switches; Asymptotic stability; Automata; Thermal stability; Linear systems; Upper bound; Linear matrix inequalities;

机译：开关;渐近稳定性;自动机热稳定性;线性系统;上限;线性矩阵不等式;

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1. Stability analysis of discrete-time switched systems under arbitrary switching [J] . Thales S. Gomide, Márcio J. Lacerda IFAC PapersOnLine . 2018,第25期

机译：任意切换下的离散时间切换系统的稳定性分析
2. Ultimate bound minimisation by state feedback in discrete-time switched linear systems under arbitrary switching [J] . Heidari Rahmat, Braslaysky Julio H., Seron Maria M., Nonlinear analysis. Hybrid systems: An International Multidisciplinary Journal . 2016,第Null期

机译：任意切换下离散时间切换线性系统中状态反馈的极限极限最小化
3. H-infinity filtering for discrete-time switched linear systems under arbitrary switching [J] . Dawei DING, Guanghong YANG, Xiaoli LI 控制理论与应用（英文版） . 2011,第002期

机译：任意切换下离散时间切换线性系统的H无限滤波
4. A simple tree-based algorithm for deciding the stability of discrete-time switched linear systems [C] . Fabio Dercole, Fabio Della Rossa IEEE Annual Conference on Decision and Control . 2017

机译：确定离散时间切换线性系统稳定性的基于树的简单算法
5. Fast Exact Algorithms for Optimization Problems in Resource Allocation and Switched Linear Systems [D] . Wu, Zeyang. 2019

机译：资源分配中优化问题的快速准确算法和交换线性系统
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. DISTURBANCE DECOUPLING WITH STABILITY IN DISCRETE-TIME SWITCHING LINEAR SYSTEMS: ARBITRARY SWITCHING [O] . E. Zattoni 2016

机译：在离散时间开关线性系统中具有稳定性的扰动解耦：任意切换

Tree-Based Algorithms for the Stability of Discrete-Time Switched Linear Systems Under Arbitrary and Constrained Switching

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