Pointwise-in-Time Analysis and Non-Quadratic Lyapunov Functions for Linear Time-Varying Systems

2021 American Control Conference (ACC) ◽

10.23919/acc50511.2021.9483291 ◽

2021 ◽

Author(s):

Matthew Abate ◽

Corbin Klett ◽

Samuel Coogan ◽

Eric Feron

Keyword(s):

Lyapunov Functions ◽

Linear Time ◽

Time Varying ◽

Time Analysis ◽

Quadratic Lyapunov Functions ◽

Time Varying Systems

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On construction of Lyapunov functions for scalar linear time-varying systems

Systems & Control Letters ◽

10.1016/j.sysconle.2019.104591 ◽

2020 ◽

Vol 135 ◽

pp. 104591 ◽

Author(s):

Bin Zhou ◽

Yang Tian ◽

James Lam

Keyword(s):

Lyapunov Functions ◽

Linear Time ◽

Time Varying ◽

Time Varying Systems

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Stability analysis of non-linear time-varying systems by Lyapunov functions with indefinite derivatives

IET Control Theory and Applications ◽

10.1049/iet-cta.2016.1538 ◽

2017 ◽

Vol 11 (9) ◽

pp. 1434-1442 ◽

Author(s):

Bin Zhou

Keyword(s):

Stability Analysis ◽

Lyapunov Functions ◽

Linear Time ◽

Time Varying ◽

Time Varying Systems

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Time-varying Lyapunov functions for linear time-varying systems

International Journal of Control ◽

10.1080/00207178608933694 ◽

1986 ◽

Vol 44 (6) ◽

pp. 1699-1702 ◽

Author(s):

S. RAMARAJAN

Keyword(s):

Lyapunov Functions ◽

Linear Time ◽

Time Varying ◽

Time Varying Systems

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Parameter-dependent homogeneous Lyapunov functions for robust stability of linear time-varying systems

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601) ◽

10.1109/cdc.2004.1429393 ◽

2004 ◽

Author(s):

G. Chesi ◽

A. Garulli ◽

A. Tesi ◽

A. Vicino

Keyword(s):

Robust Stability ◽

Lyapunov Functions ◽

Linear Time ◽

Time Varying ◽

Time Varying Systems ◽

Parameter Dependent

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Lyapunov Functions for Linear Time-varying Systems

IETE Journal of Research ◽

10.1080/03772063.1975.11450767 ◽

1975 ◽

Vol 21 (8) ◽

pp. 403-405

Author(s):

R. Gangopadhyay ◽

A. K. Mandal

Keyword(s):

Lyapunov Functions ◽

Linear Time ◽

Time Varying ◽

Time Varying Systems

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Piecewise Lyapunov functions for robust stability of linear time-varying systems

Systems & Control Letters ◽

10.1016/s0167-6911(97)00027-3 ◽

1997 ◽

Vol 31 (3) ◽

pp. 165-171 ◽

Author(s):

Lin Xie ◽

Serge Shishkin ◽

Minyue Fu

Keyword(s):

Robust Stability ◽

Lyapunov Functions ◽

Linear Time ◽

Time Varying ◽

Time Varying Systems

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Diagonal Lyapunov functions for positive linear time-varying systems

2016 IEEE 55th Conference on Decision and Control (CDC) ◽

10.1109/cdc.2016.7799076 ◽

2016 ◽

Author(s):

Sei Zhen Khong ◽

Anders Rantzer

Keyword(s):

Lyapunov Functions ◽

Linear Time ◽

Time Varying ◽

Time Varying Systems

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Stability analysis of linear time-varying time-delay systems by non-quadratic Lyapunov functions with indefinite derivatives

Systems & Control Letters ◽

10.1016/j.sysconle.2018.09.012 ◽

2018 ◽

Vol 122 ◽

pp. 77-85 ◽

Author(s):

Tianrui Zhao ◽

Bin Zhou ◽

Wim Michiels

Keyword(s):

Stability Analysis ◽

Lyapunov Functions ◽

Linear Time ◽

Delay Systems ◽

Time Varying ◽

Time Delay Systems ◽

Quadratic Lyapunov Functions ◽

Varying Time Delay

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Piecewise Lyapunov functions for robust stability of linear time-varying systems

Proceedings of 1995 34th IEEE Conference on Decision and Control ◽

10.1109/cdc.1995.479149 ◽

2002 ◽

Author(s):

Lin Xie ◽

S.L. Shishkin ◽

Minyue Fu

Keyword(s):

Robust Stability ◽

Lyapunov Functions ◽

Linear Time ◽

Time Varying ◽

Time Varying Systems

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Design of H∞ Gain-Scheduled Controllers for Linear Time-Varying Systems by means of Polynomial Lyapunov Functions

Proceedings of the 45th IEEE Conference on Decision and Control ◽

10.1109/cdc.2006.376707 ◽

2006 ◽

Author(s):

V.F. Montagner ◽

R.C.L.F. Oliveira ◽

P.L.D. Peres

Keyword(s):

Lyapunov Functions ◽

Linear Time ◽

Time Varying ◽

Time Varying Systems ◽

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