Explicit formulas for Hankel norm approximations of infinite-dimensional systems

Ruth F. Curtain; A. C. M. Ran

doi:10.1007/bf01199454

Explicit formulas for Hankel norm approximations of infinite-dimensional systems

Integral Equations and Operator Theory ◽

10.1007/bf01199454 ◽

1989 ◽

Vol 12 (4) ◽

pp. 455-469 ◽

Cited By ~ 22

Author(s):

Ruth F. Curtain ◽

A. C. M. Ran

Keyword(s):

Explicit Formulas ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Hankel Norm

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Optimal Hankel norm approximation for the Pritchard-Salamon class of non-exponentially stable infinite-dimensional systems

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

10.1109/cdc.2001.914640 ◽

2002 ◽

Cited By ~ 1

Author(s):

A.J. Sasane ◽

R.F. Curtain

Keyword(s):

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Exponentially Stable ◽

Hankel Norm ◽

Norm Approximation

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Hankel Norm Approximation for Infinite-Dimensional Systems

10.1007/3-540-45877-8 ◽

2002 ◽

Keyword(s):

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Hankel Norm ◽

Norm Approximation

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A constructive solution to the sub-optimal Hankel norm approximation problem for a class of infinite-dimensional systems

2016 IEEE 55th Conference on Decision and Control (CDC) ◽

10.1109/cdc.2016.7799136 ◽

2016 ◽

Author(s):

O. V. Iftime

Keyword(s):

Approximation Problem ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Constructive Solution ◽

Hankel Norm ◽

Norm Approximation

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Optimal Hankel norm approximation for the Pritchard-Salamon class of infinite-dimensional systems

Integral Equations and Operator Theory ◽

10.1007/bf01192150 ◽

2001 ◽

Vol 39 (1) ◽

pp. 98-126 ◽

Cited By ~ 7

Author(s):

Amol J. Sasane ◽

Ruth F. Curtain

Keyword(s):

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Hankel Norm ◽

Norm Approximation

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Sub-optimal Hankel norm approximation for the analytic class of infinite-dimensional systems

Integral Equations and Operator Theory ◽

10.1007/bf01255569 ◽

2002 ◽

Vol 43 (3) ◽

pp. 356-377 ◽

Cited By ~ 6

Author(s):

Amol J. Sasane ◽

Ruth F. Curtain

Keyword(s):

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Hankel Norm ◽

Norm Approximation ◽

Analytic Class

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Hankel Norm Approximation for Infinite Dimensional Systems and Wiener-Hopf Factorization

Modelling, Robustness and Sensitivity Reduction in Control Systems ◽

10.1007/978-3-642-87516-8_4 ◽

1987 ◽

pp. 57-69 ◽

Cited By ~ 8

Author(s):

A. C. M. Ran

Keyword(s):

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Hankel Norm ◽

Norm Approximation

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The Nehari problem for discrete-time infinite-dimensional systems

2007 European Control Conference (ECC) ◽

10.23919/ecc.2007.7068467 ◽

2007 ◽

Cited By ~ 1

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 ◽

Cited By ~ 2

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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