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 ◽

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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 ◽

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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 ◽

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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 ◽

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CHARACTERIZING THE IRREVERSIBILITY OF HEAT CONDUCTION PROCESS BY ENTRANSY AND ITS DISSIPATION RATE AS LYAPUNOV FUNCTIONS

10.1615/ihtc16.cip.022994 ◽

2018 ◽

Author(s):

Yu-Chao Hua ◽

Zeng-Yuan Guo

Keyword(s):

Heat Conduction ◽

Lyapunov Functions ◽

Dissipation Rate ◽

Conduction Process ◽

Heat Conduction Process

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Stabilization of Non-Autonomous Systems with Respect to a Part of Variables by Means of Controlled Lyapunov Functions

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v32.i10.30 ◽

2000 ◽

Vol 32 (10) ◽

pp. 18-25 ◽

Author(s):

Alexander L. Zuev

Keyword(s):

Lyapunov Functions ◽

Autonomous Systems

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Lyapunov Functions for Systems Satisfying Barbashin-Krasovskii Theorem Conditions

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v40.i11.10 ◽

2008 ◽

Vol 40 (11) ◽

pp. 1-11

Author(s):

Alexander M. Kovalev ◽

Alexey S. Suykov

Keyword(s):

Lyapunov Functions

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Parameter-Dependent Lyapunov Functions and the Discrete-Time Popov Criterion for Robust Analysis and Synthesis

1992 American Control Conference ◽

10.23919/acc.1992.4792137 ◽

1992 ◽

Author(s):

Wassim M. Haddad ◽

Dennis S. Bernstein

Keyword(s):

Discrete Time ◽

Lyapunov Functions ◽

Robust Analysis ◽

Analysis And Synthesis ◽

Parameter Dependent

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Synthesis of variable gain controllers for a class of uncertain nonlinear systems via piecewise Lyapunov functions

2009 European Control Conference (ECC) ◽

10.23919/ecc.2009.7074555 ◽

2009 ◽

Author(s):

Hidetoshi Oya ◽

Kojiro Hagino

Keyword(s):

Nonlinear Systems ◽

Lyapunov Functions ◽

Uncertain Nonlinear Systems ◽

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Lyapunov functions defined by Hölder p-norms for linear time-variant systems

2009 European Control Conference (ECC) ◽

10.23919/ecc.2009.7074702 ◽

2009 ◽

Author(s):

O. Pastravanu ◽

M.H. Matcovschi

Keyword(s):

Lyapunov Functions ◽

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Achieving a large domain of attraction with short-horizon linear MPC via polyhedral Lyapunov functions

2013 European Control Conference (ECC) ◽

10.23919/ecc.2013.6669403 ◽

2013 ◽

Author(s):

Sergio Grammatico ◽

Gabriele Pannocchia

Keyword(s):

Lyapunov Functions ◽

Domain Of Attraction ◽

Large Domain ◽

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