Computer method for stability analysis of linear discrete-time systems of fractional commensurate order

被引:0
|
作者
Buslowicz, Mikolaj [1 ]
机构
[1] Bialystok Tech Univ, Wydzial Elekt, PL-15351 Bialystok, Poland
来源
PRZEGLAD ELEKTROTECHNICZNY | 2010年 / 86卷 / 02期
关键词
linear system; discrete-time; fractional; stability; Mikhailov criterion;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Frequency domain computer method for stability analysis of linear discrete-time fractional systems of commensurate order has been given. The method proposed is based on the Mikhailov stability criterion known from the stability theory of natural order systems. The considerations are illustrated by numerical examples. (Computer method for stability analysis of linear discrete-time systems of fractional commensurate order)
引用
收藏
页码:112 / 115
页数:4
相关论文
共 50 条
  • [1] Model order reduction of commensurate linear discrete-time fractional-order systems
    Rydel, Marek
    Stanislawski, Rafal
    Latawiec, Krzysztof J.
    Galek, Marcin
    IFAC PAPERSONLINE, 2018, 51 (01): : 536 - 541
  • [2] Robust stability of positive discrete-time linear systems of fractional order
    Buslowicz, M.
    BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2010, 58 (04) : 567 - 572
  • [3] Robust stability conditions of fractional order discrete-time linear systems
    Ruszewski, Andrzej
    2017 22ND INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2017, : 543 - 547
  • [4] Stability of fractional-order periodic discrete-time linear systems
    Tehrani, H. A.
    Esmaeili, J.
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2017, 34 (01) : 271 - 281
  • [5] A New Approach for Stability Analysis of Linear Discrete-Time Fractional-Order Systems
    Guermah, Said
    Djennoune, Said
    Bettayeb, Maamar
    NEW TRENDS IN NANOTECHNOLOGY AND FRACTIONAL CALCULUS APPLICATIONS, 2010, : 151 - +
  • [6] Stability of discrete-time fractional linear systems with delays
    Ruszewski, Andrzej
    ARCHIVES OF CONTROL SCIENCES, 2019, 29 (03): : 549 - 567
  • [7] Stabilization of fractional order linear discrete-time control systems
    Jurczyk, Wiktoria
    Mozyrska, Dorota
    Wyrwas, Malgorzata
    2024 28TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS, MMAR 2024, 2024, : 451 - 456
  • [8] Stability Analysis of Fractional Discrete-Time Linear Scalar Systems with Pure Delay
    Ruszewski, Andrzej
    NON-INTEGER ORDER CALCULUS AND ITS APPLICATIONS, 2019, 496 : 84 - 91
  • [9] PRACTICAL STABILITY OF POSITIVE FRACTIONAL DISCRETE-TIME LINEAR SYSTEMS
    Kaczorek, Tadeusz
    EMSS 2008: 20TH EUROPEAN MODELING AND SIMULATION SYMPOSIUM, 2008, : 362 - 367
  • [10] Stability of Linear Discrete-Time Systems with Fractional Positive Orders
    Wyrwas, Malgorzata
    Mozyrska, Dorota
    THEORETICAL DEVELOPMENTS AND APPLICATIONS OF NON-INTEGER ORDER SYSTEMS, 2016, 357 : 157 - 166