Lyapunov functions for input-to-state stability of infinite-dimensional systems with integrable inputs

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2020.12.1222 ◽

2020 ◽

Vol 53 (2) ◽

pp. 5336-5341

Author(s):

Andrii Mironchenko

Keyword(s):

Lyapunov Functions ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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Lyapunov Functions for Infinite-Dimensional Systems

Journal of Functional Analysis ◽

10.1006/jfan.2001.3910 ◽

2002 ◽

Vol 192 (2) ◽

pp. 342-363 ◽

Author(s):

Maciej Kocan ◽

Pierpaolo Soravia

Keyword(s):

Lyapunov Functions ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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LMI parametrization of Lyapunov functions for infinite-dimensional systems: A framework

2014 American Control Conference ◽

10.1109/acc.2014.6859228 ◽

2014 ◽

Author(s):

Matthew M. Peet

Keyword(s):

Lyapunov Functions ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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Noncoercive Lyapunov Functions for Input-to-State Stability of Infinite-Dimensional Systems

SIAM Journal on Control and Optimization ◽

10.1137/19m1297506 ◽

2020 ◽

Vol 58 (5) ◽

pp. 2952-2978

Author(s):

Birgit Jacob ◽

Andrii Mironchenko ◽

Jonathan R. Partington ◽

Fabian Wirth

Keyword(s):

Lyapunov Functions ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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Non-coercive Lyapunov functions for infinite-dimensional systems

Journal of Differential Equations ◽

10.1016/j.jde.2018.11.026 ◽

2019 ◽

Vol 266 (11) ◽

pp. 7038-7072 ◽

Author(s):

Andrii Mironchenko ◽

Fabian Wirth

Keyword(s):

Lyapunov Functions ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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Lyapunov stability and Lyapunov functions of infinite dimensional systems

IEEE Transactions on Automatic Control ◽

10.1109/tac.1969.1099229 ◽

1969 ◽

Vol 14 (4) ◽

pp. 325-334 ◽

Author(s):

R. Baker ◽

A. Bergen

Keyword(s):

Lyapunov Stability ◽

Lyapunov Functions ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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Homogeneous Lyapunov functions for homogeneous infinite dimensional systems with unbounded nonlinear operators

Systems & Control Letters ◽

10.1016/j.sysconle.2020.104854 ◽

2021 ◽

Vol 148 ◽

pp. 104854

Author(s):

Andrey Polyakov

Keyword(s):

Lyapunov Functions ◽

Nonlinear Operators ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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The Nehari problem for discrete-time infinite-dimensional systems

2007 European Control Conference (ECC) ◽

10.23919/ecc.2007.7068467 ◽

2007 ◽

Author(s):

Ruth F. Curtain ◽

Mark R. Opmeer

Keyword(s):

Discrete Time ◽

Nehari Problem ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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Dynamics of Infinite Dimensional Systems

10.1007/978-3-642-86458-2 ◽

1987 ◽

Keyword(s):

Infinite Dimensional ◽

Infinite Dimensional Systems

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Solution of H∞ control problem for hybrid periodic infinite dimensional systems and general quadratic forms I

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) ◽

10.1109/cdc.2003.1272669 ◽

2004 ◽

Author(s):

N.E. Barabanov

Keyword(s):

Control Problem ◽

Quadratic Forms ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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Inference over heterogeneous finite-/infinite-dimensional systems using factor graphs and Gaussian processes

2014 IEEE International Conference on Robotics and Automation (ICRA) ◽

10.1109/icra.2014.6907015 ◽

2014 ◽

Author(s):

David M. Rosen ◽

Guoquan Huang ◽

John J. Leonard

Keyword(s):

Gaussian Processes ◽

Factor Graphs ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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