Low-Gain Integral Control of Well-Posed Linear Infinite-Dimensional Systems with Input and Output Nonlinearities

T. Fliegner; H. Logemann; E.P. Ryan

doi:10.1006/jmaa.2000.7526

Low-Gain Integral Control of Well-Posed Linear Infinite-Dimensional Systems with Input and Output Nonlinearities

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.2000.7526 ◽

2001 ◽

Vol 261 (1) ◽

pp. 307-336 ◽

Cited By ~ 6

Author(s):

T. Fliegner ◽

H. Logemann ◽

E.P. Ryan

Keyword(s):

Integral Control ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Input And Output ◽

Well Posed

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Absolute stability results for well-posed infinite-dimensional systems with applications to low-gain integral control

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv:2000115 ◽

2000 ◽

Vol 5 ◽

pp. 395-424 ◽

Cited By ~ 11

Author(s):

Hartmut Logemann ◽

Ruth F. Curtain

Keyword(s):

Absolute Stability ◽

Integral Control ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Well Posed ◽

Stability Results

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Variable sampling integral control of infinite-dimensional systems

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187) ◽

10.1109/cdc.2000.912205 ◽

2002 ◽

Cited By ~ 1

Author(s):

N. Ozdemir ◽

S. Townley

Keyword(s):

Integral Control ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Variable Sampling

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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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The linear quadratic optimal control problem for infinite dimensional systems with unbounded input and output operators

Lecture Notes in Mathematics - Infinite-Dimensional Systems ◽

10.1007/bfb0072776 ◽

1984 ◽

pp. 187-202 ◽

Cited By ~ 6

Author(s):

A. J. Pritchard ◽

D. Salamon

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Input And Output ◽

Quadratic Optimal Control

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Feedback stabilization of infinite-dimensional systems with periodically time-varying input and output operators

International Journal of Systems Science ◽

10.1080/00207729808929557 ◽

1998 ◽

Vol 29 (6) ◽

pp. 643-651

Author(s):

HIDEKI SANO ◽

NOBORU KUNIMATSU

Keyword(s):

Feedback Stabilization ◽

Time Varying ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Input And Output

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Generalized Sampled-Data Stabilization of Well-Posed Linear Infinite-Dimensional Systems

SIAM Journal on Control and Optimization ◽

10.1137/s0363012903434340 ◽

2005 ◽

Vol 44 (4) ◽

pp. 1345-1369 ◽

Cited By ~ 30

Author(s):

Hartmut Logemann ◽

Richard Rebarber ◽

Stuart Townley

Keyword(s):

Sampled Data ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Well Posed

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Digital Variable Sampling Integral Control of Infinite Dimensional Systems Subject to Input Nonlinearity

IEEE Transactions on Automatic Control ◽

10.1109/tac.2009.2015555 ◽

2009 ◽

Vol 54 (6) ◽

pp. 1357-1362 ◽

Cited By ~ 2

Author(s):

N. Ozdemir

Keyword(s):

Integral Control ◽

Input Nonlinearity ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Variable Sampling

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Stabilization of Well-Posed Infinite-Dimensional Systems by Dynamic Sampled-Data Feedback

SIAM Journal on Control and Optimization ◽

10.1137/110850396 ◽

2013 ◽

Vol 51 (2) ◽

pp. 1203-1231 ◽

Cited By ~ 33

Author(s):

H. Logemann

Keyword(s):

Sampled Data ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Data Feedback ◽

Well Posed

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Stability Results of Popov-Type for Infinite-Dimensional Systems with Applications to Integral Control

Proceedings of the London Mathematical Society ◽

10.1112/s0024611502013916 ◽

2003 ◽

Vol 86 (03) ◽

pp. 779-816 ◽

Cited By ~ 14

Author(s):

R. F. Curtain ◽

H. Logemann ◽

O. Staffans

Keyword(s):

Integral Control ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Stability Results

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Sampled-data output regulation of unstable well-posed infinite-dimensional systems with constant reference and disturbance signals

Mathematics of Control Signals and Systems ◽

10.1007/s00498-019-00252-9 ◽

2019 ◽

Vol 32 (1) ◽

pp. 43-100 ◽

Cited By ~ 1

Author(s):

Masashi Wakaiki ◽

Hideki Sano

Keyword(s):

Output Regulation ◽

Sampled Data ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Data Output ◽

Well Posed

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