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

Ruth F. Curtain

doi:10.1007/bf02088004

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 ◽

Cited By ~ 58

Author(s):

Ruth F. Curtain

Keyword(s):

Exponential Stability ◽

Input Output ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Output Stability

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Integral control of infinite-dimensional systems in the presence of hysteresis: an input-output approach

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv:2007022 ◽

2007 ◽

Vol 13 (3) ◽

pp. 458-483 ◽

Cited By ~ 25

Author(s):

Hartmut Logemann ◽

Eugene P. Ryan ◽

Ilya Shvartsman

Keyword(s):

Input Output ◽

Integral Control ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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

Automatica ◽

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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Design of robust multivariable tuning regulators for infinite-dimensional systems by discrete-time input-output data

International Journal of Control ◽

10.1080/00207178608933584 ◽

1986 ◽

Vol 44 (1) ◽

pp. 83-90 ◽

Cited By ~ 5

Author(s):

TOSHIHIRO KOBAYASHI

Keyword(s):

Discrete Time ◽

Input Output ◽

Output Data ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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Pseudo-Rational Input/Output Maps and Their Realizations: A Fractional Representation Approach to Infinite-Dimensional Systems

SIAM Journal on Control and Optimization ◽

10.1137/0326081 ◽

1988 ◽

Vol 26 (6) ◽

pp. 1415-1430 ◽

Cited By ~ 44

Author(s):

Yutaka Yamamoto

Keyword(s):

Input Output ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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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 ◽

Cited By ~ 3

Author(s):

Yutaka Yamamoto ◽

Shinji Hara

Keyword(s):

Exponential Stability ◽

Robust Stability ◽

Stability Condition ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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Input-output theory of high-gain adaptive stabilization of infinite-dimensional systems with non-linearities

International Journal of Adaptive Control and Signal Processing ◽

10.1002/acs.4480020304 ◽

1988 ◽

Vol 2 (3) ◽

pp. 193-216 ◽

Cited By ~ 27

Author(s):

Hartmut Logemann ◽

David H. Owens

Keyword(s):

High Gain ◽

Adaptive Stabilization ◽

Input Output ◽

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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