Reduction of Infinite Dimensional Systems to Finite Dimensions: Compact Convergence Approach

A. N. Carvalho; J. W. Cholewa; G. Lozada-Cruz; M. R. T. Primo

doi:10.1137/10080734x

Reduction of Infinite Dimensional Systems to Finite Dimensions: Compact Convergence Approach

SIAM Journal on Mathematical Analysis ◽

10.1137/10080734x ◽

2013 ◽

Vol 45 (2) ◽

pp. 600-638 ◽

Cited By ~ 4

Author(s):

A. N. Carvalho ◽

J. W. Cholewa ◽

G. Lozada-Cruz ◽

M. R. T. Primo

Keyword(s):

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Compact Convergence

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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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Inference over heterogeneous finite-/infinite-dimensional systems using factor graphs and Gaussian processes

2014 IEEE International Conference on Robotics and Automation (ICRA) ◽

10.1109/icra.2014.6907015 ◽

2014 ◽

Cited By ~ 4

Author(s):

David M. Rosen ◽

Guoquan Huang ◽

John J. Leonard

Keyword(s):

Gaussian Processes ◽

Factor Graphs ◽

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 ◽

Cited By ~ 7

Author(s):

Bert van Keulen

Keyword(s):

Hankel Operators ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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The Optimal Projection Equations for Finite-Dimensional Fixed-Order Dynamic Compensation of Infinite-Dimensional Systems

SIAM Journal on Control and Optimization ◽

10.1137/0324006 ◽

1986 ◽

Vol 24 (1) ◽

pp. 122-151 ◽

Cited By ~ 30

Author(s):

Dennis S. Bernstein ◽

David C. Hyland

Keyword(s):

Dynamic Compensation ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Finite Dimensional ◽

Optimal Projection ◽

Fixed Order ◽

Projection Equations

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Feedback invariance of SISO infinite-dimensional systems

Mathematics of Control Signals and Systems ◽

10.1007/s00498-007-0021-9 ◽

2007 ◽

Vol 19 (4) ◽

pp. 313-335 ◽

Cited By ~ 11

Author(s):

Kirsten Morris ◽

Richard Rebarber

Keyword(s):

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Feedback Invariance

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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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H/sub 2/ and H/sub ∞/ control for infinite-dimensional systems with jumps

IEEE Transactions on Automatic Control ◽

10.1109/9.847733 ◽

2000 ◽

Vol 45 (3) ◽

pp. 505-510 ◽

Cited By ~ 3

Author(s):

A. Ichikawa

Keyword(s):

Infinite Dimensional ◽

Infinite Dimensional Systems

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