On the convexity of sublevel sets of polynomial and homogeneous polynomial Lyapunov functions

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

10.1109/cdc.2006.377486 ◽

2006 ◽

Author(s):

G. Chesi ◽

Y.S. Hung

Keyword(s):

Lyapunov Functions ◽

Homogeneous Polynomial ◽

Download Full-text

Homogeneous polynomial lyapunov functions for piecewise affine systems

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

10.1109/acc.2005.1470019 ◽

2005 ◽

Author(s):

Jun Xu ◽

Lihua Xie

Keyword(s):

Lyapunov Functions ◽

Homogeneous Polynomial ◽

Piecewise Affine Systems ◽

Affine Systems ◽

Piecewise Affine

Download Full-text

Robust Analysis of LFR Systems Through Homogeneous Polynomial Lyapunov Functions

IEEE Transactions on Automatic Control ◽

10.1109/tac.2004.831152 ◽

2004 ◽

Vol 49 (7) ◽

pp. 1211-1216 ◽

Author(s):

G. Chesi ◽

A. Garulli ◽

A. Tesi ◽

A. Vicino

Keyword(s):

Lyapunov Functions ◽

Homogeneous Polynomial ◽

Robust Analysis

Download Full-text

Estimation of asymptotic stability regions via homogeneous polynomial Lyapunov functions

International Journal of Control ◽

10.1080/00207170600578324 ◽

2006 ◽

Vol 79 (6) ◽

pp. 617-623 ◽

Author(s):

Y. Fujisaki ◽

R. Sakuwa

Keyword(s):

Asymptotic Stability ◽

Lyapunov Functions ◽

Homogeneous Polynomial ◽

Stability Regions

Download Full-text

Homogeneous polynomial Lyapunov functions for the admissibility analysis of uncertain descriptor systems

2017 IEEE 56th Annual Conference on Decision and Control (CDC) ◽

10.1109/cdc.2017.8264126 ◽

2017 ◽

Author(s):

Ana Carolina dos Santos Paulino ◽

Gabriela Iuliana Bara

Keyword(s):

Lyapunov Functions ◽

Homogeneous Polynomial ◽

Descriptor Systems

Download Full-text

Automatic Determination of Connected Sublevel Sets of CPA Lyapunov Functions

SIAM Journal on Applied Dynamical Systems ◽

10.1137/19m1262528 ◽

2020 ◽

Vol 19 (2) ◽

pp. 1029-1056

Author(s):

Peter Giesl ◽

Conor Osborne ◽

Sigurdur Hafstein

Keyword(s):

Lyapunov Functions ◽

Automatic Determination ◽

Download Full-text

Establishing Convexity of Polynomial Lyapunov Functions and Their Sublevel Sets

IEEE Transactions on Automatic Control ◽

10.1109/tac.2008.2007857 ◽

2008 ◽

Vol 53 (10) ◽

pp. 2431-2436 ◽

Author(s):

G. Chesi ◽

Y. S. Hung

Keyword(s):

Lyapunov Functions ◽

Download Full-text

Deconvolution filtering for stochastic systems via homogeneous polynomial Lyapunov functions

Signal Processing ◽

10.1016/j.sigpro.2008.10.008 ◽

2009 ◽

Vol 89 (4) ◽

pp. 605-614 ◽

Author(s):

Baoyong Zhang ◽

James Lam ◽

Shengyuan Xu

Keyword(s):

Lyapunov Functions ◽

Homogeneous Polynomial ◽

Stochastic Systems

Download Full-text

Computing upper-bounds of the minimum dwell time of linear switched systems via homogeneous polynomial Lyapunov functions

Proceedings of the 2010 American Control Conference ◽

10.1109/acc.2010.5530590 ◽

2010 ◽

Author(s):

G Chesi ◽

P Colaneri ◽

J C Geromel ◽

R Middleton ◽

R Shorten

Keyword(s):

Switched Systems ◽

Lyapunov Functions ◽

Homogeneous Polynomial ◽

Download Full-text

Lyapunov Functions to Avoid Squashed Sublevel Sets for Interconnections Containing Non-ISS Components * *The work was supported in part by JSPS KAKENHI Grant Number 26420422.

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2017.08.1503 ◽

2017 ◽

Vol 50 (1) ◽

pp. 7427-7432

Author(s):

Hiroshi Ito

Keyword(s):

Lyapunov Functions ◽

Download Full-text

Estimation of asymptotic stability regions via composite homogeneous polynomial Lyapunov functions

International Journal of Control ◽

10.1080/00207179.2014.962616 ◽

2014 ◽

Vol 88 (3) ◽

pp. 484-493 ◽

Author(s):

Guochen Pang ◽

Kanjian Zhang

Keyword(s):

Asymptotic Stability ◽

Lyapunov Functions ◽

Homogeneous Polynomial ◽

Stability Regions

Download Full-text