Results 11 to 20 of about 484,891 (284)
Model reduction of dissipative systems by balanced truncation [PDF]
IFAC Proceedings Volumes, 2008 Abstract Given a dissipative system behavior with general supply rate, say a Σ-dissipative system, we propose a balanced truncation method to obtain a reduced-order system behavior which is again Σ-dissipative. This methods applies to driving variable representations of systems. A one-step error bound formula is discussed.
Ha, Minh B. +2 more
core +4 more sources
Balanced Truncation of Linear Time-Varying Systems [PDF]
IEEE Transactions on Automatic Control, 2004 In this paper, balanced truncation of linear time-varying systems is studied in discrete and continuous time. Based on relatively basic calculations with time-varying Lyapunov equations/inequalities we are able to derive both upper and lower error bounds for the truncated models. These results generalize well-known time-invariant formulas.
Henrik Sandberg, Anders Rantzer
openaire +4 more sources
Balanced truncation with conformal maps [PDF]
Systems & Control LettersWe consider the problem of constructing reduced models for large scale systems with poles in general domains in the complex plane (as opposed to, e.g., the open left-half plane or the open unit disk). Our goal is to design a model reduction scheme, building upon theoretically established methodologies, yet encompassing this new class of models. To this
Alessandro Borghi +2 more
core +5 more sources
Quality of Approximate Balanced Truncation [PDF]
CoRRModel reduction is a powerful tool in dealing with numerical simulation of large scale dynamic systems for studying complex physical systems. Two major types of model reduction methods for linear time-invariant dynamic systems are Krylov subspace-based methods and balanced truncation-based methods.
Lei-Hong Zhang, Ren-Cang Li
core +4 more sources
Model reduction by balanced truncation [PDF]
, 2012 Model reduction by balanced truncation for bounded real and positive real input-stateoutput systems, known as bounded real balanced truncation and positive real balanced truncation respectively, is addressed.
Guiver, Christopher, Guiver, Chris
core +6 more sources
Empirical Balanced Truncation of Nonlinear Systems [PDF]
Journal of Nonlinear Science, 2004 LaTeX, 11 pages, 2 ...
Marissa Condon, Rossen I. Ivanov
openaire +2 more sources
Mathematics, 2023 We propose a generalized multiscale finite element method combined with a balanced truncation to solve a parameter-dependent parabolic problem. As an updated version of the standard multiscale method, the generalized multiscale method contains the ...
Shan Jiang +3 more
doaj +1 more source
Phase Preserving Balanced Truncation for Order Reduction of Positive Real Systems
Automation, 2022 This paper presents a new passivity-preserving order reduction method for linear time-invariant passive systems, which are also called positive real (PR) systems, with the aid of the balanced truncation (BT) method.
Zeinab Salehi +3 more
doaj +1 more source
发电技术, 2023 A reduced order model for subsynchronous oscillation analysis of direct drive wind farm was studied, and a balanced truncation method based on alternating direction implicit (ADI) was proposed.
WANG Jinzhao, YAN Gangui, LIU Kan
doaj +1 more source
Balanced truncation for linear switched systems [PDF]
Advances in Computational Mathematics, 2018 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 to each active discrete mode by solving systems of coupled Lyapunov equations.
Gosea, Ion Victor +3 more
openaire +6 more sources