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 ◽

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 ◽

Download Full-text

Non-intrusive generalized polynomial chaos for the robust stability analysis of uncertain nonlinear dynamic friction systems

Journal of Sound and Vibration ◽

10.1016/j.jsv.2012.09.046 ◽

2013 ◽

Vol 332 (5) ◽

pp. 1204-1215 ◽

Author(s):

Lyes Nechak ◽

Sébastien Berger ◽

Evelyne Aubry

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Nonlinear Dynamic ◽

Polynomial Chaos ◽

Dynamic Friction ◽

Generalized Polynomial Chaos ◽

Generalized Polynomial ◽

Robust Stability Analysis

Download Full-text

A polynomial chaos expansion approach for nonlinear dynamic systems with interval uncertainty

Nonlinear Dynamics ◽

10.1007/s11071-020-05895-x ◽

2020 ◽

Vol 101 (4) ◽

pp. 2489-2508

Author(s):

Liqun Wang ◽

Zengtao Chen ◽

Guolai Yang

Keyword(s):

Dynamic Systems ◽

Nonlinear Dynamic ◽

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Interval Uncertainty ◽

Nonlinear Dynamic Systems ◽

Chaos Expansion

Download Full-text

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 ◽

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

Download Full-text

Stability analysis of a clutch system with multi-element generalized polynomial chaos

Mechanics & Industry ◽

10.1051/meca/2015061 ◽

2016 ◽

Vol 17 (2) ◽

pp. 205 ◽

Author(s):

Minh Hoang Trinh ◽

Sébastien Berger ◽

Evelyne Aubry

Keyword(s):

Stability Analysis ◽

Polynomial Chaos ◽

Generalized Polynomial Chaos ◽

Clutch System ◽

Generalized Polynomial

Download Full-text

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

Download Full-text

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

Download Full-text

Probabilistic analysis and control of uncertain dynamic systems: Generalized polynomial chaos expansion approaches

2012 American Control Conference (ACC) ◽

10.1109/acc.2012.6314853 ◽

2012 ◽

Author(s):

Kwang Ki Kevin Kim ◽

R. D. Braatz

Keyword(s):

Dynamic Systems ◽

Probabilistic Analysis ◽

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Generalized Polynomial Chaos ◽

Uncertain Dynamic Systems ◽

Generalized Polynomial ◽

Download Full-text

A New Stability Analysis Method for Large Scale Nonlinear Dynamic Systems

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)55702-x ◽

1987 ◽

Vol 20 (9) ◽

pp. 179-184

Author(s):

Lielie Zheng ◽

Jianxun He

Keyword(s):

Stability Analysis ◽

Dynamic Systems ◽

Nonlinear Dynamic ◽

Large Scale ◽

Nonlinear Dynamic Systems ◽

Analysis Method

Download Full-text

An Approximate Stability Analysis of Discrete-Time Basis Nonlinear Dynamic Systems Using Universal Learning Networks

Journal of Signal Processing ◽

10.2299/jsp.8.235 ◽

2004 ◽

Vol 8 (3) ◽

pp. 235-247

Author(s):

Kotaro Hirasawa ◽

Jinglu Hu ◽

Yunqing Yu ◽

Shingo Mabu

Keyword(s):

Stability Analysis ◽

Discrete Time ◽

Dynamic Systems ◽

Nonlinear Dynamic ◽

Nonlinear Dynamic Systems ◽

Learning Networks ◽

Download Full-text

On the stability of steady-state response of certain nonlinear dynamic systems subjected to harmonic excitations

Ingenieur-Archiv ◽

10.1007/bf00533144 ◽

1972 ◽

Vol 41 (6) ◽

pp. 407-420 ◽

Author(s):

F. C. L. Fu ◽

S. Nemat-Nasser

Keyword(s):

Steady State ◽

Dynamic Systems ◽

Nonlinear Dynamic ◽

Nonlinear Dynamic Systems ◽

Steady State Response ◽

State Response ◽

Harmonic Excitations ◽

Download Full-text