Balanced truncation model order reduction in limited time intervals for large systems
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-018-9608-6
Abstract: In this article we investigate model order reduction of large-scale systems using time-limited balanced truncation, which restricts the well known balanced truncation framework to prescribed finite time intervals. The main emphasis is on the efficient… read more here.
Keywords: reduction; order; time; model ... See more keywords
Balanced truncation for linear switched systems
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-018-9610-z
Abstract: We propose a model order reduction approach for balanced truncation of linear switched systems. Such systems switch among a finite number of linear subsystems or modes. We compute pairs of controllability and observability Gramians corresponding… read more here.
Keywords: truncation linear; switched systems; linear switched; balanced truncation ... See more keywords
A tangential method for the balanced truncation in model reduction
Sign Up to like & getrecommendations! Published in 2019 at "Numerical Algorithms"
DOI: 10.1007/s11075-019-00696-9
Abstract: In this paper, we present a new approach for large-scale Lyapunov matrix equations, where we present two algorithms named: Adaptive Block Tangential Lanczos-type and Arnoldi-type algorithms (ABTL and ABTA). This approach is based on the… read more here.
Keywords: method balanced; tangential method; model; model reduction ... See more keywords
Balanced truncation-rational Krylov methods for model reduction in large scale dynamical systems
Sign Up to like & getrecommendations! Published in 2018 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-016-0359-z
Abstract: In this paper, we consider the balanced truncation method for model reductions in large-scale linear and time-independent dynamical systems with multi-inputs and multi-outputs. The method is based on the solutions of two large coupled Lyapunov… read more here.
Keywords: large scale; rational krylov; model; balanced truncation ... See more keywords
Model Order Reduction of Glucose-Insulin Homeostasis Using Empirical Gramians and Balanced Truncation
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DOI: 10.1016/j.ifacol.2017.08.2576
Abstract: Abstract In this contribution, a novel method for model order reduction is presented. Since biological systems are often highly nonlinear or having a high number of parameters, the concept of empirical Gramians is considered for… read more here.
Keywords: reduction; model order; order reduction; balanced truncation ... See more keywords
Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems
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DOI: 10.1016/j.laa.2020.09.029
Abstract: Abstract In this paper, balancing based model order reduction (MOR) for large-scale linear discrete-time time-invariant systems in prescribed finite time intervals is studied. The first main topic is the development of error bounds regarding the… read more here.
Keywords: discrete time; time; time limited; output ... See more keywords
Model Compression Method for S4 With Diagonal State Space Layers Using Balanced Truncation
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DOI: 10.1109/access.2024.3446642
Abstract: To implement deep learning models on edge devices, model compression methods have been widely recognized as useful. However, it remains unclear which model compression methods are effective for Structured State Space Sequence (S4) models incorporating… read more here.
Keywords: state space; balanced truncation; model; model compression ... See more keywords
Model Boundary Approximation Method as a Unifying Framework for Balanced Truncation and Singular Perturbation Approximation
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2019.2908523
Abstract: We show that two widely accepted model reduction techniques, balanced truncation (BT) and balanced singular perturbation approximation (BSPA), can be derived as limiting approximations of a carefully constructed parameterization of linear time invariant systems by… read more here.
Keywords: singular perturbation; approximation; model boundary; model ... See more keywords
Model reduction of unstable systems based on balanced truncation algorithm
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Electrical and Computer Engineering"
DOI: 10.11591/ijece.v11i3.pp2045-2053
Abstract: Model reduction of a system is an approximation of a higher-order system to a lower-order system while the dynamic behavior of the system is almost unchanged. In this paper, we will discuss model order reduction… read more here.
Keywords: unstable systems; model; balanced truncation; model reduction ... See more keywords