Asymptotic stability of positive fractional 2D linear systems

被引:29
|
作者
Kaczorek, T. [1 ]
机构
[1] Bialystok Tech Univ, Fac Elect Engn, PL-15351 Bialystok, Poland
关键词
asymptotic stability; fractional; positive; 2D linear system; STATE-SPACE MODEL;
D O I
10.2478/v10175-010-0131-2
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
New necessary and sufficient conditions for the asymptotic stability of the positive fractional 2D systems are established. It is shown that the checking of the asymptotic stability of positive fractional 2D linear systems can be reduced to testing the stability of corresponding 1D positive linear systems.
引用
下载
收藏
页码:289 / 292
页数:4
相关论文
共 50 条
  • [41] New stability tests for fractional positive descriptor linear systems
    Kaczorek, Tadeusz
    Ruszewski, Andrzej
    ARCHIVES OF CONTROL SCIENCES, 2023, 33 (01) : 71 - 81
  • [42] Stability radii of positive linear systems under fractional perturbations
    Bui The Anh
    Nguyen Khoa Son
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2009, 19 (11) : 1267 - 1277
  • [43] Asymptotic stability for 2 × 2 fractional nabla difference systems
    Jonnalagadda J.M.
    International Journal of Dynamics and Control, 2019, 7 (01) : 326 - 329
  • [44] On the positive reachability of 2D positive systems
    Fornasini, E
    Valcher, ME
    POSITIVE SYSTEMS, PROCEEDINGS, 2003, 294 : 297 - 304
  • [45] POSITIVITY AND STABILIZATION OF FRACTIONAL 2D LINEAR SYSTEMS DESCRIBED BY THE ROESSER MODEL
    Kaczorek, Tadeusz
    Rogowski, Krzysztof
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2010, 20 (01) : 85 - 92
  • [46] Positivity and stability of fractional 2D Lyapunov systems described by the Roesser model
    Rogowski, K.
    BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2011, 59 (02) : 195 - 200
  • [47] Stability and stabilisation of 2D discrete linear systems with multiple delays
    Paszke, W
    Gatkowski, K
    Lam, J
    Xu, SY
    Rogers, E
    Owens, DH
    PROCEEDINGS OF THE 2003 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL III: GENERAL & NONLINEAR CIRCUITS AND SYSTEMS, 2003, : 670 - 673
  • [48] Asymptotic Stability and Decay Rates of Positive Linear Systems with Unbounded Delays
    Feyzmandavian, Hamid Reza
    Charalambous, Themistoklis
    Johansson, Mikael
    2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 1423 - 1428
  • [49] Asymptotic Stability Analysis of a Kind of Switched Positive Linear Discrete Systems
    Xue, Xiaoping
    Li, Zhuchun
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (09) : 2198 - 2203
  • [50] Asymptotic Stability of Fractional Langevin Systems
    Govindaraj, Venkatesan
    Priyadharsini, Sivaraj
    Kumar, Pitchaikkannu Suresh
    Balachandan, Krishnan
    JOURNAL OF APPLIED NONLINEAR DYNAMICS, 2022, 11 (03) : 635 - 650