Linear Dynamical Systems: An Axiomatic Approach

Georgian Mathematical Journal ◽

10.1515/gmj.2002.113 ◽

2002 ◽

Vol 9 (1) ◽

pp. 113-136

Author(s):

V. Lomadze

Keyword(s):

Dynamical Systems ◽

Transfer Function ◽

Axiomatic Approach ◽

Behavioral Approach ◽

Function Approach ◽

Linear Dynamical Systems ◽

Great Simplicity

Abstract Linear dynamical systems are introduced in a general axiomatic way, and their development is carried out in great simplicity. The approach is closely related both with the classical transfer function approach and with the Willems behavioral approach.

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Modeling unsteady diffusive and advective heat transfer for linear dynamical systems: A transfer function approach

International Journal of Heat and Mass Transfer ◽

10.1016/j.ijheatmasstransfer.2017.07.009 ◽

2017 ◽

Vol 115 ◽

pp. 304-313 ◽

Cited By ~ 6

Author(s):

Waseem Al Hadad ◽

Denis Maillet ◽

Yves Jannot

Keyword(s):

Heat Transfer ◽

Dynamical Systems ◽

Transfer Function ◽

Function Approach ◽

Linear Dynamical Systems ◽

Advective Heat Transfer

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Transfer-function models for a new class of physically-realizable inverse-systems for linear dynamical systems

Proceedings of Thirtieth Southeastern Symposium on System Theory ◽

10.1109/ssst.1998.660018 ◽

2002 ◽

Author(s):

C.D. Johnson

Keyword(s):

Dynamical Systems ◽

Transfer Function ◽

Linear Dynamical Systems ◽

New Class ◽

Inverse Systems ◽

Function Models ◽

Transfer Function Models

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Linear Dynamical Systems

10.1016/s0076-5392(08)x6189-2 ◽

1977 ◽

Keyword(s):

Dynamical Systems ◽

Linear Dynamical Systems

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Closed-form solutions of ECV and ECA tracking filters based on a transfer-function approach

IEE Proceedings D Control Theory and Applications ◽

10.1049/ip-d.1987.0059 ◽

1987 ◽

Vol 134 (6) ◽

pp. 368

Author(s):

Keigo Watanabe

Keyword(s):

Transfer Function ◽

Closed Form ◽

Function Approach ◽

Closed Form Solutions

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Comparison of the methods of parametric identification of linear dynamical systems under mixed noise

Sibirskii zhurnal chistoi i prikladnoi matematiki ◽

10.33048/pam.2018.18.305 ◽

2018 ◽

Vol 18 (3) ◽

pp. 45-59

Author(s):

A. A. Lomov ◽

A. V. Fedoseev

Keyword(s):

Dynamical Systems ◽

Parametric Identification ◽

Linear Dynamical Systems ◽

Mixed Noise

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A Process-Based Transfer Function Approach to Model Tile Drain Hydrographs

Impacts of Global Climate Change ◽

10.1061/40792(173)379 ◽

2005 ◽

Cited By ~ 1

Author(s):

Mazdak Arabi ◽

Jennifer S. Schmidt ◽

Rao S. Govindaraju

Keyword(s):

Transfer Function ◽

Function Approach

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Gramians, Energy Functionals, and Balanced Truncation for Linear Dynamical Systems with Quadratic Outputs

IEEE Transactions on Automatic Control ◽

10.1109/tac.2021.3086319 ◽

2021 ◽

pp. 1-1

Author(s):

Peter Benner ◽

Pawan Goyal ◽

Igor Pontesduffpereira

Keyword(s):

Dynamical Systems ◽

Balanced Truncation ◽

Linear Dynamical Systems ◽

Energy Functionals

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Initial-Value Privacy of Linear Dynamical Systems

2020 59th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc42340.2020.9303900 ◽

2020 ◽

Author(s):

Lei Wang ◽

Ian R. Manchester ◽

Jochen Trumpf ◽

Guodong Shi

Keyword(s):

Dynamical Systems ◽

Initial Value ◽

Linear Dynamical Systems

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Simulation versus experiment in non-linear dynamical systems

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2021.110656 ◽

2021 ◽

Vol 144 ◽

pp. 110656

Author(s):

Ludovico Minati

Keyword(s):

Dynamical Systems ◽

Linear Dynamical Systems ◽

Non Linear

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Space–time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109845 ◽

2021 ◽

Vol 424 ◽

pp. 109845

Author(s):

Youngsoo Choi ◽

Peter Brown ◽

William Arrighi ◽

Robert Anderson ◽

Kevin Huynh

Keyword(s):

Dynamical Systems ◽

Large Scale ◽

Space Time ◽

Reduced Order Model ◽

Boltzmann Transport ◽

Order Model ◽

Linear Dynamical Systems ◽

Reduced Order ◽

Transport Problems

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