Stability and Stabilizability of Continuous-Time Linear Compartmental Switched Systems

被引：14
|
作者：
Valcher, Maria Elena [1 ]
Zorzan, Irene [1 ]
机构：
[1] Univ Padua, Dip Ingn Informaz, I-35131 Padua, Italy
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2016年 / 61卷 / 12期
关键词：
Compartmental systems; positive systems; stability and stabilizability; switched systems; COPOSITIVE LYAPUNOV FUNCTIONS; POSITIVE SYSTEMS; INVARIANCE-PRINCIPLE; HYBRID SYSTEMS; STABILIZATION; REACHABILITY; CRITERIA; CONTROLLABILITY; MATRIX; PAIR;
D O I：
10.1109/TAC.2016.2525016
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we introduce continuous-time linear compartmental switched systems and investigate their stability and stabilizability properties. By their nature, these systems are always stable. Necessary and sufficient conditions for asymptotic stability for arbitrary switching functions, and sufficient conditions for asymptotic stability under certain dwell-time conditions on the switching functions are proposed. Finally, stabilizability is thoroughly investigated and proved to be equivalent to the existence of a Hurwitz convex combination of the subsystem matrices, a condition that, for positive switched systems, is only sufficient for stabilizability.
引用
收藏
页码：3885 / 3897
页数：13
相关论文
共 50 条
  • [31] Robust Switching Design for Continuous-time Switched Linear Systems
    Sun, Zhendong
    [J]. PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 258 - 263
  • [32] Chattering free control of continuous-time switched linear systems
    Deaecto, Grace Silva
    Souza, Matheus
    Geromel, Jose C.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2014, 8 (05): : 348 - 354
  • [33] Even Triggered Control of Continuous-Time Switched Linear Systems
    Xiao, Xiaoqing
    Zhou, Lei
    Ho, Daniel W. C.
    Lu, Guoping
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (04) : 1710 - 1717
  • [34] Robust switched controller design for linear continuous-time systems
    Ilka, Adrian
    Vesely, Vojtech
    [J]. ARCHIVES OF CONTROL SCIENCES, 2015, 25 (04): : 401 - 416
  • [35] Controller Design for Continuous-Time Switched Linear Singular Systems
    Chen Yonggang
    Fei Shumin
    Fu Zhumu
    [J]. 2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 1728 - 1732
  • [36] Interval observers design for continuous-time linear switched systems
    Ethabet, Haifa
    Raissi, Tarek
    Amairi, Messaoud
    Aoun, Mohamed
    [J]. IFAC PAPERSONLINE, 2017, 50 (01): : 6259 - 6264
  • [37] Interconnected continuous-time switched systems: Robust stability and stabilization
    Mahmoud, Magdi S.
    Al-Sunni, Fouad M.
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (03) : 531 - 542
  • [38] Stability analysis of two-dimensional switched non-linear continuous-time systems
    Huang, Shipei
    Xiang, Zhengrong
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (06): : 724 - 729
  • [39] Output-Feedback Model Matching with Strong Stability in Continuous-Time Switched Linear Systems
    Zattoni, Elena
    Perdon, Anna Maria
    Conte, Giuseppe
    [J]. 2014 22ND MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED), 2014, : 525 - 530
  • [40] The Stabilizability and Detectability of Continuous-time Complex Stochastic Systems
    Yin, Lulu
    An, Xiuying
    [J]. 2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2015, : 2075 - 2079
12345