Rational approximation of a class of infinite-dimensional systems I: Singular values of hankel operators

Mathematics of Control Signals and Systems ◽

10.1007/bf02551374 ◽

1990 ◽

Vol 3 (4) ◽

pp. 325-344 ◽

Author(s):

K. Glover ◽

J. Lam ◽

J. R. Partington

Keyword(s):

Rational Approximation ◽

Singular Values ◽

Hankel Operators ◽

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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A Note on Hankel Operators for Infinite Dimensional Systems

New Trends in Systems Theory ◽

10.1007/978-1-4612-0439-8_60 ◽

1991 ◽

pp. 481-488

Author(s):

Bert van Keulen

Keyword(s):

Hankel Operators ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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Hankel singular values and vectors of a class of infinite dimensional systems for control and approximation problems

Proceedings of the 36th IEEE Conference on Decision and Control ◽

10.1109/cdc.1997.657829 ◽

2002 ◽

Author(s):

Y. Ohta

Keyword(s):

Singular Values ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Hankel Singular Values ◽

Approximation Problems

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Hankel Singular Values and Vectors of a Class of Infinite-Dimensional Systems: Exact Hamiltonian Formulas for Control and Approximation Problems

Mathematics of Control Signals and Systems ◽

10.1007/pl00009857 ◽

1999 ◽

Vol 12 (4) ◽

pp. 361-375 ◽

Author(s):

Yoshito Ohta

Keyword(s):

Singular Values ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Hankel Singular Values ◽

Approximation Problems

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Decay of singular values of the Gramians of infinite-dimensional systems

2015 European Control Conference (ECC) ◽

10.1109/ecc.2015.7330700 ◽

2015 ◽

Author(s):

Mark R. Opmeer

Keyword(s):

Singular Values ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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Decay of singular values for infinite-dimensional systems with Gevrey regularity

Systems & Control Letters ◽

10.1016/j.sysconle.2020.104644 ◽

2020 ◽

Vol 137 ◽

pp. 104644

Author(s):

Mark R. Opmeer

Keyword(s):

Singular Values ◽

Gevrey Regularity ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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Rational approximation of a class of infinite-dimensional systems II: Optimal convergence rates ofL ∞ approximants

Mathematics of Control Signals and Systems ◽

10.1007/bf02551279 ◽

1991 ◽

Vol 4 (3) ◽

pp. 233-246 ◽

Author(s):

K. Glover ◽

J. Lam ◽

J. R. Partington

Keyword(s):

Rational Approximation ◽

Convergence Rates ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Optimal Convergence ◽

Optimal Convergence Rates

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Hankel singular values and vectors of a class of infinite dimensional systems with totally ordered inner functions

Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171) ◽

10.1109/cdc.1998.760746 ◽

2002 ◽

Author(s):

Y. Ohta

Keyword(s):

Singular Values ◽

Inner Functions ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Hankel Singular Values

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Further results on Hankel singular values and vectors of a class of infinite dimensional systems

Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207) ◽

10.1109/acc.1998.694749 ◽

1998 ◽

Author(s):

Y. Ohta

Keyword(s):

Singular Values ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Hankel Singular Values

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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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