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
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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 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