Integer-fractional decomposition and stability analysis of fractional-order nonlinear dynamic systems using homotopy singular perturbation method

Mahnaz Abolvafaei; Soheil Ganjefar

doi:10.1007/s00498-020-00268-6

Integer-fractional decomposition and stability analysis of fractional-order nonlinear dynamic systems using homotopy singular perturbation method

Mathematics of Control Signals and Systems ◽

10.1007/s00498-020-00268-6 ◽

2020 ◽

Vol 32 (4) ◽

pp. 517-542

Author(s):

Mahnaz Abolvafaei ◽

Soheil Ganjefar

Keyword(s):

Stability Analysis ◽

Singular Perturbation ◽

Perturbation Method ◽

Fractional Order ◽

Dynamic Systems ◽

Nonlinear Dynamic ◽

Nonlinear Dynamic Systems ◽

Singular Perturbation Method

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Application of an operational method of non-classical type for the analysis of transient processes in nonlinear dynamic systems of whole and fractional order

Electronics and Control Systems ◽

10.18372/1990-5548.28.872 ◽

2011 ◽

Vol 2 (28) ◽

Author(s):

Е.В. Киркач

Keyword(s):

Fractional Order ◽

Dynamic Systems ◽

Nonlinear Dynamic ◽

Transient Processes ◽

Nonlinear Dynamic Systems ◽

Classical Type ◽

Operational Method

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Energy absorption capacity; a new concept for stability analysis of nonlinear dynamic systems

Asian Journal of Control ◽

10.1002/asjc.78 ◽

2009 ◽

Vol 11 (1) ◽

pp. 40-48 ◽

Cited By ~ 2

Author(s):

Ali Akbar Jamshidifar ◽

Ahmad Afshar

Keyword(s):

Stability Analysis ◽

Energy Absorption ◽

Dynamic Systems ◽

Nonlinear Dynamic ◽

Absorption Capacity ◽

Nonlinear Dynamic Systems ◽

Energy Absorption Capacity

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New Results on Exponential Stability of Fractional Order Nonlinear Dynamic Systems

The interdisciplinary journal of Discontinuity Nonlinearity and Complexity ◽

10.5890/dnc.2016.12.007 ◽

2016 ◽

Vol 5 (4) ◽

pp. 415-425 ◽

Cited By ~ 1

Author(s):

Tianzeng Li ◽

Yu Wang ◽

Yong Yang

Keyword(s):

Exponential Stability ◽

Fractional Order ◽

Dynamic Systems ◽

Nonlinear Dynamic ◽

Nonlinear Dynamic Systems

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Fractional-order Hammerstein state-space modeling of nonlinear dynamic systems from input–output measurements

ISA Transactions ◽

10.1016/j.isatra.2019.06.015 ◽

2020 ◽

Vol 96 ◽

pp. 177-184

Author(s):

Mohammad-Reza Rahmani ◽

Mohammad Farrokhi

Keyword(s):

State Space ◽

Fractional Order ◽

Dynamic Systems ◽

Nonlinear Dynamic ◽

Nonlinear Dynamic Systems ◽

Input Output ◽

Space Modeling ◽

State Space Modeling

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Non-intrusive generalized polynomial chaos approach to the stability analysis of uncertain nonlinear dynamic systems

Eighth International Multi-Conference on Systems, Signals & Devices ◽

10.1109/ssd.2011.5767403 ◽

2011 ◽

Cited By ~ 1

Author(s):

L Nechak ◽

S Berger ◽

E Aubry

Keyword(s):

Stability Analysis ◽

Dynamic Systems ◽

Nonlinear Dynamic ◽

Polynomial Chaos ◽

Nonlinear Dynamic Systems ◽

Generalized Polynomial Chaos ◽

Generalized Polynomial ◽

The Stability

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COMPUTATIONAL SINGULAR PERTURBATION METHOD FOR DYNAMIC SYSTEMS

Automatic Control 1990 ◽

10.1016/b978-0-08-041263-4.50071-3 ◽

1991 ◽

pp. 409-413

Author(s):

M.D. Ardema

Keyword(s):

Singular Perturbation ◽

Perturbation Method ◽

Dynamic Systems ◽

Singular Perturbation Method ◽

Computational Singular Perturbation

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Computational singular perturbation method for dynamic systems

Journal of Guidance Control and Dynamics ◽

10.2514/3.20688 ◽

1991 ◽

Vol 14 (3) ◽

pp. 661-664 ◽

Cited By ~ 7

Author(s):

Mark D. Ardema

Keyword(s):

Singular Perturbation ◽

Perturbation Method ◽

Dynamic Systems ◽

Singular Perturbation Method ◽

Computational Singular Perturbation

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An Efficient Method for Stability Analysis of Highly Nonlinear Dynamic Systems*

Cybernetics and Systems Analysis ◽

10.1007/s10559-019-00161-4 ◽

2019 ◽

Vol 55 (4) ◽

pp. 531-538

Author(s):

E. R. Smol’yakov

Keyword(s):

Stability Analysis ◽

Efficient Method ◽

Dynamic Systems ◽

Nonlinear Dynamic ◽

Nonlinear Dynamic Systems ◽

Highly Nonlinear

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Comments on “Mittag-Leffler stability of fractional order nonlinear dynamic systems [Automatica 45(8) (2009) 1965–1969]”

Automatica ◽

10.1016/j.automatica.2016.09.023 ◽

2017 ◽

Vol 75 ◽

pp. 329 ◽

Cited By ~ 12

Author(s):

Omar Naifar ◽

Abdellatif Ben Makhlouf ◽

Mohamed Ali Hammami

Keyword(s):

Fractional Order ◽

Dynamic Systems ◽

Nonlinear Dynamic ◽

Nonlinear Dynamic Systems

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T-S fuzzy models based approximation for general fractional order nonlinear dynamic systems

2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE) ◽

10.1109/fuzz-ieee.2014.6891524 ◽

2014 ◽

Author(s):

Yong Wang ◽

Yiheng Wei ◽

Min Zhu ◽

Mengmeng Liu ◽

Cheng Peng ◽

...

Keyword(s):

Fractional Order ◽

Dynamic Systems ◽

Nonlinear Dynamic ◽

Nonlinear Dynamic Systems ◽

Fuzzy Models

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