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

Yoshito Ohta

doi:10.1007/pl00009857

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 ◽

Cited By ~ 11

Author(s):

Yoshito 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 for control and approximation problems

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

10.1109/cdc.1997.657829 ◽

2002 ◽

Cited By ~ 2

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 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 ◽

Cited By ~ 1

Author(s):

Y. Ohta

Keyword(s):

Singular Values ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Hankel Singular Values

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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 ◽

Cited By ~ 1

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 I: Singular values of hankel operators

Mathematics of Control Signals and Systems ◽

10.1007/bf02551374 ◽

1990 ◽

Vol 3 (4) ◽

pp. 325-344 ◽

Cited By ~ 59

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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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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Analysis of multiplicity of Hankel singular values of control systems

Automation and Remote Control ◽

10.1134/s0005117915020022 ◽

2015 ◽

Vol 76 (2) ◽

pp. 205-218 ◽

Cited By ~ 2

Author(s):

L. A. Mironovskii ◽

T. N. Solov’eva

Keyword(s):

Control Systems ◽

Singular Values ◽

Hankel Singular Values

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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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