Polynomial optimization with applications to stability analysis and control - Alternatives to sum of squares

Discrete and Continuous Dynamical Systems - Series B ◽

10.3934/dcdsb.2015.20.2383 ◽

2015 ◽

Vol 20 (8) ◽

pp. 2383-2417 ◽

Author(s):

Reza Kamyar ◽

Matthew M. Peet

Keyword(s):

Stability Analysis ◽

Polynomial Optimization ◽

Sum Of Squares ◽

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Modelling and control of flexible joint robot based on Takagi–Sugeno fuzzy approach and its stability analysis via sum of squares

Mathematical and Computer Modelling of Dynamical Systems ◽

10.1080/13873954.2012.731653 ◽

2013 ◽

Vol 19 (3) ◽

pp. 250-262 ◽

Author(s):

M. Hosseinpour ◽

P. Nikdel ◽

M.A. Badamchizadeh ◽

M.A. Akbari

Keyword(s):

Stability Analysis ◽

Sum Of Squares ◽

Fuzzy Approach ◽

Flexible Joint ◽

Takagi Sugeno ◽

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STABILITY ANALYSIS AND CONTROL DESIGN OF LINEAR SYSTEMS WITH INPUT SATURATION USING MATRIX SUM OF SQUARES RELAXATION

IFAC Proceedings Volumes ◽

10.3182/20060705-3-fr-2907.00064 ◽

2006 ◽

Vol 39 (9) ◽

pp. 369-374

Author(s):

Hiroyuki Ichihara ◽

Eitaku Nobuyama

Keyword(s):

Stability Analysis ◽

Linear Systems ◽

Input Saturation ◽

Control Design ◽

Sum Of Squares ◽

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Minimax polynomial optimization by using sum of squares relaxation and its application to robust stability analysis of parameter-dependent systems

Proceedings of the 2005, American Control Conference, 2005. ◽

10.1109/acc.2005.1470502 ◽

2005 ◽

Author(s):

H. Ichihara ◽

E. Nobuyama

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Polynomial Optimization ◽

Sum Of Squares ◽

Robust Stability Analysis ◽

Parameter Dependent

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Bayesian Safe Learning and Control with Sum-of-Squares Analysis and Polynomial Kernels

2020 59th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc42340.2020.9304397 ◽

2020 ◽

Author(s):

Alex Devonport ◽

He Yin ◽

Murat Arcak

Keyword(s):

Sum Of Squares ◽

And Control ◽

Polynomial Kernels

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Dynamic Stability Analysis and Control of Power System Based on Nyquist Array Theory

2020 IEEE Power & Energy Society General Meeting (PESGM) ◽

10.1109/pesgm41954.2020.9281899 ◽

2020 ◽

Author(s):

Shiyun Xu ◽

Huadong Sun ◽

Shihui Fang ◽

Jingtian Bi ◽

Jun Yi ◽

...

Keyword(s):

Stability Analysis ◽

Power System ◽

Dynamic Stability ◽

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Voltage stability analysis and control of wind farms connected to weak grids

13th IET International Conference on AC and DC Power Transmission (ACDC 2017) ◽

10.1049/cp.2017.0023 ◽

2017 ◽

Author(s):

M. Nawir ◽

O.D. Adeuyi ◽

G. Wu ◽

J. Liang

Keyword(s):

Stability Analysis ◽

Voltage Stability ◽

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Finite-time stability analysis and control for a class of nonlinear time-delay Hamiltonian systems

10.1016/j.automatica.2012.11.034 ◽

2013 ◽

Vol 49 (2) ◽

pp. 390-401 ◽

Author(s):

Renming Yang ◽

Yuzhen Wang

Keyword(s):

Stability Analysis ◽

Hamiltonian Systems ◽

Finite Time ◽

Time Stability ◽

Finite Time Stability ◽

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Stability analysis and control of medium-voltage micro-grids with dynamic loads

2013 IEEE Power & Energy Society General Meeting ◽

10.1109/pesmg.2013.6672234 ◽

2013 ◽

Author(s):

A. Kahrobaeian ◽

Yasser A.-R I. Mohamed

Keyword(s):

Stability Analysis ◽

Dynamic Loads ◽

Medium Voltage ◽

And Control ◽

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A simplified dynamic model for controlled insect hovering flight and control stability analysis

Bioinspiration & Biomimetics ◽

10.1088/1748-3190/ab2cc5 ◽

2019 ◽

Vol 14 (5) ◽

pp. 056005

Author(s):

Jie Yao ◽

K S Yeo

Keyword(s):

Stability Analysis ◽

Dynamic Model ◽

Hovering Flight ◽

Control Stability ◽

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On Sensitivities, Residues and Participations. Applications to Oscillatory Stability Analysis and Control

IEEE Power Engineering Review ◽

10.1109/mper.1989.4310488 ◽

1989 ◽

Vol 9 (2) ◽

pp. 61-61 ◽

Author(s):

F. Luis Pagola ◽

Ignacio J. Perez-Arriaga ◽

George C. Verghese

Keyword(s):

Stability Analysis ◽

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