Necessary and sufficient stability condition of fractional-order interval linear systems

Hyo-Sung Ahn; YangQuan Chen

doi:10.1016/j.automatica.2008.07.003

Necessary and sufficient stability condition of fractional-order interval linear systems

Automatica ◽

10.1016/j.automatica.2008.07.003 ◽

2008 ◽

Vol 44 (11) ◽

pp. 2985-2988 ◽

Cited By ~ 170

Author(s):

Hyo-Sung Ahn ◽

YangQuan Chen

Keyword(s):

Linear Systems ◽

Fractional Order ◽

Stability Condition ◽

Order Interval ◽

Sufficient Stability Condition ◽

Sufficient Stability ◽

Interval Linear ◽

Interval Linear Systems ◽

Necessary And Sufficient

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Authors’ reply to “Comments on ‘Necessary and sufficient stability condition of fractional-order interval linear systems”’ [Automatica 44 (2008) 2985–2988]

Automatica ◽

10.1016/j.automatica.2014.08.014 ◽

2014 ◽

Vol 50 (10) ◽

pp. 2736

Author(s):

Hyo-Sung Ahn ◽

YangQuan Chen

Keyword(s):

Linear Systems ◽

Fractional Order ◽

Stability Condition ◽

Order Interval ◽

Sufficient Stability Condition ◽

Sufficient Stability ◽

Interval Linear ◽

Interval Linear Systems ◽

Necessary And Sufficient

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Comments on “Necessary and sufficient stability condition of fractional-order interval linear systems” [Automatica 44 (2008), 2985–2988]

Automatica ◽

10.1016/j.automatica.2014.08.013 ◽

2014 ◽

Vol 50 (10) ◽

pp. 2734-2735 ◽

Cited By ~ 2

Author(s):

Michał Góra ◽

Dominik Mielczarek

Keyword(s):

Linear Systems ◽

Fractional Order ◽

Stability Condition ◽

Order Interval ◽

Sufficient Stability Condition ◽

Sufficient Stability ◽

Interval Linear ◽

Interval Linear Systems ◽

Necessary And Sufficient

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Necessary and sufficient stability condition for arbitrarily switched linear systems from a data-driven perspective

PAMM ◽

10.1002/pamm.201310232 ◽

2013 ◽

Vol 13 (1) ◽

pp. 479-480

Author(s):

Fan Zhang ◽

Dirk Söffker

Keyword(s):

Linear Systems ◽

Stability Condition ◽

Data Driven ◽

Switched Linear Systems ◽

Sufficient Stability Condition ◽

Sufficient Stability ◽

Necessary And Sufficient

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Conservatism-free Robust Stability Check of Fractional-order Interval Linear Systems

IFAC Proceedings Volumes ◽

10.3182/20080706-5-kr-1001.02580 ◽

2008 ◽

Vol 41 (2) ◽

pp. 15256-15261 ◽

Cited By ~ 4

Author(s):

Hyo-Sung Ahn ◽

YangQuan Chen

Keyword(s):

Linear Systems ◽

Fractional Order ◽

Robust Stability ◽

Order Interval ◽

Interval Linear ◽

Interval Linear Systems

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A new necessary and sufficient stability condition for linear time-delay systems

IFAC Proceedings Volumes ◽

10.3182/20140824-6-za-1003.02677 ◽

2014 ◽

Vol 47 (3) ◽

pp. 11018-11023 ◽

Cited By ~ 8

Author(s):

Alexey V. Egorov

Keyword(s):

Time Delay ◽

Stability Condition ◽

Linear Time ◽

Delay Systems ◽

Time Delay Systems ◽

Sufficient Stability Condition ◽

Sufficient Stability ◽

Necessary And Sufficient

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Necessary and sufficient D-stability condition of fractional-order linear systems

2017 36th Chinese Control Conference (CCC) ◽

10.23919/chicc.2017.8027318 ◽

2017 ◽

Cited By ~ 2

Author(s):

Keyong Shao ◽

Lipeng Zhou ◽

Kun Qian ◽

Yeqiang Yu ◽

Feng Chen ◽

...

Keyword(s):

Linear Systems ◽

Fractional Order ◽

Stability Condition ◽

Order Linear ◽

Necessary And Sufficient

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Sufficient stability condition for fractional-order nonlinear systems

Journal of Mechanical Science and Technology ◽

10.1007/s12206-017-0641-z ◽

2017 ◽

Vol 31 (7) ◽

pp. 3531-3537 ◽

Cited By ~ 1

Author(s):

Keyong Shao ◽

Lei Zuo

Keyword(s):

Nonlinear Systems ◽

Fractional Order ◽

Stability Condition ◽

Sufficient Stability Condition ◽

Sufficient Stability

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Necessary and sufficient stability condition of LTV iterative learning control systems using a 2-D approach

Asian Journal of Control ◽

10.1002/asjc.277 ◽

2010 ◽

Vol 13 (1) ◽

pp. 25-37 ◽

Cited By ~ 14

Author(s):

Deyuan Meng ◽

Yingmin Jia ◽

Junping Du ◽

Fashan Yu

Keyword(s):

Control Systems ◽

Stability Condition ◽

Iterative Learning Control ◽

Learning Control ◽

Iterative Learning ◽

Sufficient Stability Condition ◽

Sufficient Stability ◽

Necessary And Sufficient

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Lyapunov matrix based necessary and sufficient stability condition by finite number of mathematical operations for retarded type systems

Automatica ◽

10.1016/j.automatica.2019.06.027 ◽

2019 ◽

Vol 108 ◽

pp. 108475 ◽

Cited By ~ 3

Author(s):

Marco A. Gomez ◽

Alexey V. Egorov ◽

Sabine Mondié

Keyword(s):

Finite Number ◽

Stability Condition ◽

Type Systems ◽

Sufficient Stability Condition ◽

Sufficient Stability ◽

Lyapunov Matrix ◽

Necessary And Sufficient ◽

Mathematical Operations

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Necessary and sufficient stability condition for second-order switched systems: a phase function approach

International Journal of Control ◽

10.1080/00207179.2017.1375157 ◽

2017 ◽

Vol 92 (4) ◽

pp. 926-939 ◽

Cited By ~ 2

Author(s):

Xiaozhan Yang ◽

H. K. Lam ◽

Ligang Wu

Keyword(s):

Stability Condition ◽

Switched Systems ◽

Phase Function ◽

Second Order ◽

Function Approach ◽

Sufficient Stability Condition ◽

Sufficient Stability ◽

Necessary And Sufficient

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