Exponential stability of nonlinear infinite-dimensional systems: Application to nonisothermal axial dispersion tubular reactors

10.1016/j.automatica.2020.109201 ◽

2020 ◽

Vol 121 ◽

pp. 109201

Author(s):

Anthony Hastir ◽

Joseph J. Winkin ◽

Denis Dochain

Keyword(s):

Exponential Stability ◽

Axial Dispersion ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Tubular Reactors

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Equivalence of input-output stability and exponential stability for infinite-dimensional systems

Mathematical Systems Theory ◽

10.1007/bf02088004 ◽

1988 ◽

Vol 21 (1) ◽

pp. 19-48 ◽

Author(s):

Ruth F. Curtain

Keyword(s):

Exponential Stability ◽

Input Output ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Output Stability

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Robust Stability Condition for Infinite-Dimensional Systems with Internal Exponential Stability

Robust Control of Linear Systems and Nonlinear Control ◽

10.1007/978-1-4612-4484-4_65 ◽

1990 ◽

pp. 647-654 ◽

Author(s):

Yutaka Yamamoto ◽

Shinji Hara

Keyword(s):

Exponential Stability ◽

Robust Stability ◽

Stability Condition ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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Lyapunov characterization of uniform exponential stability for nonlinear infinite-dimensional systems

IEEE Transactions on Automatic Control ◽

10.1109/tac.2021.3080526 ◽

2021 ◽

pp. 1-1

Author(s):

Ihab Haidar ◽

Yacine Chitour ◽

Paolo Mason ◽

Mario Sigalotti

Keyword(s):

Exponential Stability ◽

Uniform Exponential Stability ◽

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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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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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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Hankel operators for non-exponentially stabilizable infinite dimensional systems

Systems & Control Letters ◽

10.1016/0167-6911(90)90115-b ◽

1990 ◽

Vol 15 (3) ◽

pp. 221-226 ◽

Author(s):

Bert van Keulen

Keyword(s):

Hankel Operators ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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The Optimal Projection Equations for Finite-Dimensional Fixed-Order Dynamic Compensation of Infinite-Dimensional Systems

SIAM Journal on Control and Optimization ◽

10.1137/0324006 ◽

1986 ◽

Vol 24 (1) ◽

pp. 122-151 ◽

Author(s):

Dennis S. Bernstein ◽

David C. Hyland

Keyword(s):

Dynamic Compensation ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Finite Dimensional ◽

Optimal Projection ◽

Fixed Order ◽

Projection Equations

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