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Mathematical and Computer Modelling of Dynamical Systems
Methods, Tools and Applications in Engineering and Related Sciences
Volume 22, 2016 - Issue 4: Model Order Reduction
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Articles

Balanced truncation model reduction for linear time-varying systems

N. LangFaculty of Mathematics, Technische Universität Chemnitz, Chemnitz, GermanyCorrespondence[email protected]
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J. SaakFaculty of Mathematics, Technische Universität Chemnitz, Chemnitz, Germany;Computational Methods in Systems and Control Theory, Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, GermanyView further author information
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T. StykelInstitut für Mathematik, Universität Augsburg, Augsburg, GermanyView further author information
Pages 267-281 | Received 08 Oct 2015, Accepted 02 Jun 2016, Published online: 30 Jun 2016

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C. C. Magruder, S. Gugercin & C. A. Beattie. (2018) Linear time-periodic dynamical systems: an H2 analysis and a model reduction framework. Mathematical and Computer Modelling of Dynamical Systems 24:2, pages 119-142.
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Articles from other publishers (18)

Alberto Padovan & Clarence W. Rowley. (2024) Continuous-time balanced truncation for time-periodic fluid flows using frequential Gramians. Journal of Computational Physics 496, pages 112597.
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Li Wang, Zhen Miao & Yao‐Lin Jiang. (2023) Two‐sided Krylov enhanced proper orthogonal decomposition methods for partial differential equations with variable coefficients. Numerical Methods for Partial Differential Equations 40:1.
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Josie König & Melina A. Freitag. (2023) Time-Limited Balanced Truncation for Data Assimilation Problems. Journal of Scientific Computing 97:2.
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Mohammad-Sahadet Hossain, Muhtasim Alam Chowdhury & Md. Samiur Rahman. (2021) A dual reduction strategy for reduce-order modeling of periodic control system. Results in Control and Optimization 4, pages 100034.
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Mike Brian Ndawula, Ignacio Hernando-Gil, Ran Li, Chenghong Gu & Antonio De Paola. (2021) Model order reduction for reliability assessment of flexible power networks. International Journal of Electrical Power & Energy Systems 127, pages 106623.
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Rambod Mojgani & Maciej Balajewicz. (2020) Stabilization of linear time‐varying reduced‐order models: A feedback controller approach. International Journal for Numerical Methods in Engineering 121:24, pages 5490-5510.
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Md. Sumon Hossain & Stephan Trenn. (2020) A time-varying Gramian based model reduction approach for Linear Switched Systems. IFAC-PapersOnLine 53:2, pages 5629-5634.
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Joel D. Simard & Alessandro Astolfi. (2020) Loewner Functions for Linear Time-Varying Systems with Applications to Model Reduction. IFAC-PapersOnLine 53:2, pages 5623-5628.
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Maximilian Behr, Peter Benner & Jan Heiland. (2019) Solution formulas for differential Sylvester and Lyapunov equations. Calcolo 56:4.
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Arvind Kumar Prajapati & Rajendra Prasad. (2019) Model Reduction of Multivariable Systems by Using New Hybrid Method. Model Reduction of Multivariable Systems by Using New Hybrid Method.
Yu Kawano & Jacquelien M. A. Scherpen. (2019) Balanced Model Reduction for Linear Time-Varying Symmetric Systems. IEEE Transactions on Automatic Control 64:7, pages 3060-3067.
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Nguyen Thanh Son, Pierre-Yves Gousenbourger, Estelle Massart & P.-A. Absil. (2019) Online balanced truncation for linear time-varying systems using continuously differentiable interpolation on Grassmann manifold. Online balanced truncation for linear time-varying systems using continuously differentiable interpolation on Grassmann manifold.
Alexander Ostermann, Chiara Piazzola & Hanna Walach. (2019) Convergence of a Low-Rank Lie--Trotter Splitting for Stiff Matrix Differential Equations. SIAM Journal on Numerical Analysis 57:4, pages 1947-1966.
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Kamen L. Perev. (2019) A Simple Method for Orthogonal Polynomial Approximation of Linear Time-Varying System Gramians. IFAC-PapersOnLine 52:17, pages 25-30.
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Yazdan Bavafa-Toosi. 2019. Introduction to Linear Control Systems. Introduction to Linear Control Systems 333 436 .
Arvind Kumar Prajapati & Rajendra Prasad. (2018) Model Reduction of Linear Dynamical MIMO Systems by Using Balanced Realization and Moment Matching Algorithm. Model Reduction of Linear Dynamical MIMO Systems by Using Balanced Realization and Moment Matching Algorithm.
Marton Nemeth & Andras Poppe. (2017) Successive network reduction method for parametric transient results. Successive network reduction method for parametric transient results.
M. Cruz Varona & B. Lohmann. 2017. Model Reduction of Parametrized Systems. Model Reduction of Parametrized Systems 367 386 .

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