Yet another matrix commutator condition for stabilizability of discrete-time switched linear systems

Atreyee Kundu

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Yet another matrix commutator condition for stabilizability of discrete-time switched linear systems

机译：用于离散时间切换线性系统的稳定性的另一个矩阵换向器条件

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This paper deals with stability of discrete-time switched linear systems whose all subsystems are unstable. We present sufficient conditions on the subsystems matrices such that a switched system is globally exponentially stable under a set of purely time-dependent switching signals that are allowed to activate all subsystems. The main apparatuses for our analysis are (matrix) commutation relations between certain products of the subsystems matrices and graph-theoretic arguments. We present a numerical experiment to demonstrate our results.

机译：本文涉及离散时间切换线性系统的稳定性，其所有子系统都不稳定。我们在子系统矩阵上呈现足够的条件，使得在允许激活所有子系统的一组纯时间相关的切换信号下，交换系统是全球呈指数稳定的。我们分析的主要设备是子系统矩阵和图形 - 理论参数的某些产品之间的（矩阵）换向关系。我们提出了一个数字实验来证明我们的结果。

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《IFAC PapersOnLine》 |2021年第5期|共6页
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Atreyee Kundu;
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switched systemsstabilitymatrix commutators;

机译：切换系统斯特利亚斯利克莱克斯换向器;

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1. Robust matrix commutator conditions for stability of switched linear systems under restricted switching [J] . Kundu Atreyee, Chatterjee Debasish Automatica . 2020,第1期

机译：受限制切换下开关线性系统稳定性的强大矩阵换向器条件
2. On the Stabilizability of Discrete-Time Switched Linear Systems: Novel Conditions and Comparisons [J] . Mirko Fiacchini, Antoine Girard, Marc Jungers IEEE Transactions on Automatic Control . 2016,第5期

机译：离散切换线性系统的稳定性：新条件与比较
3. Convex lifted conditions for robust l(2)-stability analysis and l(2)-stabilization of linear discrete-time switched systems with minimum dwell-time constraint (vol 50, pg 976, 2014) [J] . Briat Corentin Automatica . 2016,第Null期

机译：具有最小停留时间约束的线性离散时间切换系统的鲁棒l（2）稳定性分析和l（2）稳定化的凸提升条件（vol 50，pg 976，2014）
4. On stabilizability conditions for discrete-time switched linear systems [C] . Fiacchini Mirko, Girard Antoine, Jungers Marc IEEE Annual Conference on Decision and Control . 2014

机译：离散时间线性切换系统的镇定条件
5. Robust Stability and Stabilization of a Class of Non-Linear Discrete-Time Stochastic Systems. [D] . Strong, Andre' J. 2011

机译：一类非线性离散时间随机系统的鲁棒稳定性和稳定性。
6. Stabilization of Positive Linear Discrete-Time Systems by Using a Brauers Theorem [O] . Begoña Cantó, Rafael Cantó, Snezhana Kostova -1

机译：利用Brauer定理稳定正线性离散时间系统
7. Robust matrix commutator conditions for stability of switched linear systems under restricted switching [O] . Atreyee Kundu, Debasish Chatterjee 2020

机译：受限制切换下交换线性系统稳定性的强大矩阵换向器条件
8. Semi-Global Stabilization of Linear Discrete-Time Systems Subject to InputSaturation via Linear Feedback: An ARE-Based Approach [R] . Lin, Z., Saberi, A., Stoorvogel, A. A. 1994

机译：线性离散时间系统的半全局镇定受输入饱和度的线性反馈：基于aRE的方法

Yet another matrix commutator condition for stabilizability of discrete-time switched linear systems

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