Covariance control for discrete-time stochastic switched linear systems

被引:1
|
作者
Fiacchini, Mirko [1 ]
Alamo, Teodoro [2 ]
机构
[1] Univ Grenoble Alpes, GIPSA Lab, Grenoble INP, CNRS, F-38000 Grenoble, France
[2] Univ Seville, Dept Ingn Sistemas & Automat, Seville 41092, Spain
来源
IFAC PAPERSONLINE | 2022年 / 55卷 / 25期
关键词
Covariance control; stabilizability; switched systems; STABILITY ANALYSIS; STABILIZABILITY; STABILIZATION; MATRIX;
D O I
10.1016/j.ifacol.2022.09.337
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper deals with the covariance control for discrete-time linear switched systems affected by additive stochastic noises. Given any periodic stabilizing switching law for the deterministic system associated to the stochastic one, a finite set of matrices is characterized that is an attractor for the system state covariance matrix sequence. Moreover, upper and lower bounds on the covariance matrices of the state are determined by the trajectories of one-dimensional linear systems. Copyright (C) 2022 The Authors.
引用
收藏
页码:139 / 144
页数:6
相关论文
共 50 条
  • [41] Output controllability of the discrete-time linear switched systems
    Babiarz, Artur
    Czornik, Adam
    Niezabitowski, Michal
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2016, 21 : 1 - 10
  • [42] Detectability and Stabilizability of Discrete-Time Switched Linear Systems
    Lee, Ji-Woong
    Khargonekar, Pramod P.
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (03) : 424 - 437
  • [43] Dissipativeness and Dissipativation of discrete-time switched linear systems
    Jungers, Marc
    Ferrante, Francesco
    Loheac, Jerome
    [J]. 2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, : 5760 - 5765
  • [44] Periodic Stabilization of Discrete-Time Switched Linear Systems
    Lee, Donghwan
    Hu, Jianghai
    [J]. 2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, : 4260 - 4265
  • [45] Switched stability of discrete-time linear hybrid systems
    Sun, Zhendong
    [J]. 2007 IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION, VOLS 1-7, 2007, : 889 - 891
  • [46] Invertibility and flatness of switched linear discrete-time systems
    Millerioux, Gilles
    Daafouz, Jamal
    [J]. HYBRID SYSTEMS: COMPUTATION AND CONTROL, PROCEEDINGS, 2007, 4416 : 714 - +
  • [47] Stability of positive switched discrete-time linear systems
    Cimochowski, Robert
    [J]. 2010 15TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2010, : 207 - 211
  • [48] Realization theory of discrete-time linear switched systems
    Petreczky, Mihaly
    Bako, Laurent
    van Schuppen, Jan H.
    [J]. AUTOMATICA, 2013, 49 (11) : 3337 - 3344
  • [49] Stabilizability of Discrete-Time Controlled Switched Linear Systems
    Lee, Donghwan
    Hu, Jianghai
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (10) : 3516 - 3522
  • [50] Controllability and stabilization of discrete-time switched linear systems
    Xie, GM
    Wang, L
    [J]. 2004 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN & CYBERNETICS, VOLS 1-7, 2004, : 5338 - 5343