A note on "A class of linear differential dynamical systems with fuzzy initial condition"

被引:12
|
作者
Mazandarani, Mehran [1 ]
Najariyan, Marzieh [2 ]
机构
[1] Ferdowsi Univ Mashhad, Dept Elect Engn, Mashhad, Iran
[2] Ferdowsi Univ Mashhad, Dept Appl Math, Mashhad, Iran
关键词
Fuzzy differential equations; Stability property; Quasi-level-wise system;
D O I
10.1016/j.fss.2014.05.018
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this note, we show that the proposed approach in J. Xu et al. (2007) [1] fails to obtain the stable solutions to the stable linear dynamical systems with fuzzy initial conditions. As it will be explained, this shortcoming is caused by neglecting to move the stability property of the fuzzy system to the quasi-level-wise system. Moreover, to handle this, another approach is proposed similar to the previous one for the stable and unstable systems. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:121 / 126
页数:6
相关论文
共 50 条
  • [1] A class of linear differential dynamical systems with fuzzy initial condition
    Xu, Jiuping
    Liao, Zhigao
    Hu, Zhineng
    FUZZY SETS AND SYSTEMS, 2007, 158 (21) : 2339 - 2358
  • [2] A class of linear differential dynamical systems with fuzzy matrices
    Xu, Jiuping
    Liao, Zhigao
    Nieto, Juan J.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 368 (01) : 54 - 68
  • [3] Controllability of Linear Time-invariant Dynamical Systems with Fuzzy Initial Condition
    Dubey, Bhaskar
    George, Raju K.
    WORLD CONGRESS ON ENGINEERING AND COMPUTER SCIENCE, WCECS 2013, VOL II, 2013, Ao, : 879 - 884
  • [4] Linear matrix differential dynamical systems with fuzzy matrices
    Ghazanfari, B.
    Niazi, S.
    Ghazanfari, A. G.
    APPLIED MATHEMATICAL MODELLING, 2012, 36 (01) : 348 - 356
  • [5] Differential initial-value privacy and observability of linear dynamical systems
    Wang, Lei
    Manchester, Ian R.
    Trumpf, Jochen
    Shi, Guodong
    AUTOMATICA, 2023, 148
  • [6] Propagation of initial condition uncertainty for linear dynamical systems: beyond the Gaussian assumption
    Kurdyaeva, Tamara
    Milias-Argeitis, Andreas
    2022 EUROPEAN CONTROL CONFERENCE (ECC), 2022, : 1391 - 1396
  • [7] Solutions of Systems of Linear Fuzzy Differential Equations for a Special Class of Fuzzy Processes
    Laiate, Beatriz
    Esmi, Estevao
    Santo Pedro, Francielle
    Barros, Laecio C.
    EXPLAINABLE AI AND OTHER APPLICATIONS OF FUZZY TECHNIQUES, NAFIPS 2021, 2022, 258 : 217 - 228
  • [8] Cyclic linear differential automata: A simple class of hybrid dynamical systems
    Saykin, Andrey V.
    Matveev, Alexey S.
    Proceedings of the IEEE Conference on Decision and Control, 1998, 3 : 3214 - 3217
  • [9] Cyclic linear differential automata: a simple class of hybrid dynamical systems
    Savkin, AV
    Matveev, AS
    AUTOMATICA, 2000, 36 (05) : 727 - 734
  • [10] Cyclic linear differential automata: A simple class of hybrid dynamical systems
    Savkin, AV
    Matveev, AS
    PROCEEDINGS OF THE 37TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1998, : 3214 - 3217