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International Journal of Control Volume 34, 1981 - Issue 4
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Original Articles

Multivariable systems reduction via Cauer forms

M. J. GOLDMAN Electrical Engineering Department, U.S. Naval Postgraduate School, Monterey, California, 93940, U.S.A.View further author information
,
W. J. PORRAS Electrical Engineering Department, U.S. Naval Postgraduate School, Monterey, California, 93940, U.S.A.View further author information
&
C. T. LEONDES Electrical Engineering Department, U.S. Naval Postgraduate School, Monterey, California, 93940, U.S.A.
Pages 623-650 | Received 12 Dec 1980, Published online: 12 Mar 2007

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LUISA. AGUIRRE & EDUARDOM. A. M. MENDES. (1995) The least-squares Padé method for model simplification of multivariable systems. International Journal of Systems Science 26:4, pages 819-839.
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C. M. LIAW. (1991) System simplification using variable structure reduced models. International Journal of Systems Science 22:7, pages 1209-1218.
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C. M. LIAW. (1989) Mixed method of model reduction for linear multivariable systems. International Journal of Systems Science 20:11, pages 2029-2041.
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M. B. ARGOUN. (1986) Model reduction of diagonally dominant systems. International Journal of Control 43:3, pages 819-835.
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CHYI HWANG & TONG-YI GUO. (1985) Matrix Routh-approximant reduced-order modelling for multivariable systems. International Journal of Systems Science 16:6, pages 697-712.
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S. A. MARSHALL. (1983) A note on the mixed Cauer form of system reduction in control system design. International Journal of Control 37:1, pages 205-209.
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Articles from other publishers (19)

Santosh Kumar Suman. (2023) A New Scheme for the Approximation of Linear Dynamical Systems and Its Application to Controller Design. Circuits, Systems, and Signal Processing 43:2, pages 766-794.
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Santosh Kumar Suman & Awadhesh Kumar. (2021) Linear System of Order Reduction Using a Modified Balanced Truncation Method. Circuits, Systems, and Signal Processing 40:6, pages 2741-2762.
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D. K. Sambariya & Trishla Sharma. (2018) An Effective Approach for Reduction of Discrete Time System using Modified Cauer Form. An Effective Approach for Reduction of Discrete Time System using Modified Cauer Form.
D. K. Sambariya & Tarun Gupta. (2017) An application of Modified Cauer form for reduction of large order LTI Systems. An application of Modified Cauer form for reduction of large order LTI Systems.
A. Wagner. 2014. New Trends in Medical and Service Robots. New Trends in Medical and Service Robots 209 226 .
E. Badreddin & A. Wagner. (2011) Real-Time Level of Autonomy Adaptation for Human-Machine-Interaction Based on the Reaction Time. IFAC Proceedings Volumes 44:1, pages 4833-4838.
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Tulga Ersal, Hosam K. Fathy, D. Geoff Rideout, Loucas S. Louca & Jeffrey L. Stein. (2008) A Review of Proper Modeling Techniques. Journal of Dynamic Systems, Measurement, and Control 130:6.
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Zeyu Liu & John Wagner. (2002) Nonlinear Model Reduction for Dynamic and Automotive System Descriptions. Journal of Dynamic Systems, Measurement, and Control 124:4, pages 637-647.
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R. Johansson. (1995) Multivariable system identification via continued-fraction approximation. IEEE Transactions on Automatic Control 40:3, pages 507-512.
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Tong-Yi Guo, Chyi Hwang & Leang-San Shieh. (1994) Model reduction of nonsquare linear MIMO systems using multipoint matrix continued-fraction expansions. Journal of the Franklin Institute 331:2, pages 189-216.
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R. Johansson. (1994) Multivariable system identification via continued-fraction approximation. Multivariable system identification via continued-fraction approximation.
O. Taiwo & V. Krebs. (1993) Generalized moment method for the order reduction of multivariable systems. Journal of the Franklin Institute 330:4, pages 641-649.
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O. Taiwo & V. Krebs. (1993) Multivariable system simplification using moment matching and optimization. Multivariable system simplification using moment matching and optimization.
L. Fortuna, G. Nunnari & A. GalloL. Fortuna, G. Nunnari & A. Gallo. 1992. Model Order Reduction Techniques with Applications in Electrical Engineering. Model Order Reduction Techniques with Applications in Electrical Engineering 11 62 .
P. Resende & V.V.R. Silva. (1990) On the Model Order Reduction of Linear Multivariable Systems Using a Block-Schwarz Realization. IFAC Proceedings Volumes 23:8, pages 309-313.
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J. V. Ramakrishnan, S. Vittal Rao & L. R. Koval. (2006) Multivariable routh‐approximant model reduction method in the time domain. Optimal Control Applications and Methods 11:3, pages 233-247.
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Chyi Hwang, Chee-Fai Yung & Kuo-Kai Shyu. (1986) Realization of Cauer third form by integrators. IEEE Transactions on Circuits and Systems 33:4, pages 434-438.
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Chyi Hwang & Chee-Fai Yung. (1986) Derivation of continued-fraction expansions from the coefficients of power-series expansions of a transfer function. IEEE Transactions on Automatic Control 31:4, pages 342-345.
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Chyi Hwang & Chee-fai Yung. (1985) Derivation of continued-fraction expansions from the coefficients of power-series expansions of a transfer function. Derivation of continued-fraction expansions from the coefficients of power-series expansions of a transfer function.

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