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 ◽

Cited By ~ 13

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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ROBUST STABILITY OF LINEAR TIME-VARYING POLYTOPIC SYSTEMS THROUGH POLYNOMIALLY PARAMETER-DEPENDENT LYAPUNOV FUNCTIONS

IFAC Proceedings Volumes ◽

10.3182/20060705-3-fr-2907.00013 ◽

2006 ◽

Vol 39 (9) ◽

pp. 65-70

Author(s):

V.F. Montagner ◽

R.C.L.F. Oliveira ◽

P.L.D. Peres

Keyword(s):

Robust Stability ◽

Lyapunov Functions ◽

Linear Time ◽

Time Varying ◽

Polytopic Systems ◽

Parameter Dependent

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Parameter-dependent Lyapunov functions for robust stability analysis of time-varying systems in polytopic domains

2007 American Control Conference ◽

10.1109/acc.2007.4282744 ◽

2007 ◽

Cited By ~ 2

Author(s):

Ricardo C. L. F. Oliveira ◽

Mauricio C. de Oliveira ◽

Pedro L. D. Peres

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Lyapunov Functions ◽

Time Varying ◽

Robust Stability Analysis ◽

Time Varying Systems ◽

Parameter Dependent

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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 ◽

Cited By ~ 137

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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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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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 ◽

Cited By ~ 3

Author(s):

Bin Zhou ◽

Yang Tian ◽

James Lam

Keyword(s):

Lyapunov Functions ◽

Linear Time ◽

Time Varying ◽

Time Varying Systems

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Local Adaptive Observer for Linear Time-Varying Systems with Parameter-Dependent State Matrices

2018 IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2018.8619470 ◽

2018 ◽

Author(s):

Romain Postoyan ◽

Qinghua Zhang

Keyword(s):

Linear Time ◽

Adaptive Observer ◽

Time Varying ◽

Time Varying Systems ◽

Parameter Dependent ◽

Dependent State

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Robust stability of time-varying polytopic systems via parameter-dependent homogeneous Lyapunov functions

Automatica ◽

10.1016/j.automatica.2006.08.024 ◽

2007 ◽

Vol 43 (2) ◽

pp. 309-316 ◽

Cited By ~ 93

Author(s):

G. Chesi ◽

A. Garulli ◽

A. Tesi ◽

A. Vicino

Keyword(s):

Robust Stability ◽

Lyapunov Functions ◽

Time Varying ◽

Polytopic Systems ◽

Parameter Dependent

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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 ◽

Cited By ~ 28

Author(s):

Bin Zhou

Keyword(s):

Stability Analysis ◽

Lyapunov Functions ◽

Linear Time ◽

Time Varying ◽

Non Linear ◽

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 ◽

Cited By ~ 7

Author(s):

S. RAMARAJAN

Keyword(s):

Lyapunov Functions ◽

Linear Time ◽

Time Varying ◽

Time Varying Systems

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Robust Stability/Performance Analysis for Linear Time-Invariant Polynomially Parameter-Dependent Systems Using Polynomially Parameter-Dependent Lyapunov Functions

Transactions of the Society of Instrument and Control Engineers ◽

10.9746/ve.sicetr1965.43.472 ◽

2007 ◽

Vol 43 (6) ◽

pp. 472-481 ◽

Cited By ~ 1

Author(s):

Masayuki SATO ◽

Dimitri PEAUCELLE

Keyword(s):

Performance Analysis ◽

Robust Stability ◽

Lyapunov Functions ◽

Linear Time ◽

Linear Time Invariant ◽

Stability Performance ◽

Parameter Dependent ◽

Time Invariant

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