Results 1 to 10 of about 11,282 (161)

Balanced truncation for model reduction of biological oscillators. [PDF]

Biol Cybern, 2021
AbstractModel reduction is a central problem in mathematical biology. Reduced order models enable modeling of a biological system at different levels of complexity and the quantitative analysis of its properties, like sensitivity to parameter variations and resilience to exogenous perturbations.
Padoan A, Forni F, Sepulchre R.
europepmc   +6 more sources

Frequency interval balanced truncation of discrete-time bilinear systems

Cogent Engineering, 2016
This paper presents the development of a new model reduction method for discrete-time bilinear systems based on the balanced truncation framework. In many model reduction applications, it is advantageous to analyze the characteristics of the system with ...
Víctor Sreeram, James Lam, Roberto Togneri   +2 more
exaly   +2 more sources

Second-order balanced truncation

Linear Algebra and Its Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Younes Chahlaoui, P van Dooren
exaly   +3 more sources

Bovine pericardial versus porcine bioprosthetic valves in pulmonary position for adult congenital heart disease: A three-center, retrospective, propensity-weighted analysis of clinical outcomes [PDF]

International Journal of Cardiology Congenital Heart Disease
Introduction and objective: Adults with congenital heart disease affecting the right ventricular outflow tract often require repeated pulmonary valve replacements (PVR) throughout life, making prosthesis durability a critical determinant of long term ...
Eliú David Pérez Nogales, Elisabet Viera Reyes, Stefano Urso, María Luz Polo López, Blanca Torres Maestro, Jesús María González-Martín, Pablo Meras Colunga, Jose Ruíz Cantador, Carlos Merino Argos   +8 more
doaj   +2 more sources

Frequency-Limited Balanced Truncation with Low-Rank Approximations [PDF]

SIAM Journal of Scientific Computing, 2016
Summary: We investigate model order reduction of large-scale systems using frequency-limited balanced truncation, which restricts the well known balanced truncation framework to prescribed frequency regions. The main emphasis is put on the efficient numerical realization of this model reduction approach. We discuss numerical methods to take care of the
Jens Saak, Patrick Kürschner, Peter Benner   +2 more
exaly   +4 more sources

Time-Limited Balanced Truncation for Data Assimilation Problems

Journal of Scientific Computing, 2023
AbstractBalanced truncation is a well-established model order reduction method which has been applied to a variety of problems. Recently, a connection between linear Gaussian Bayesian inference problems and the system-theoretic concept of balanced truncation has been drawn (Qian et al in Sci Comput 91:29, 2022).
Melina Freitag, Josie König
exaly   +4 more sources

Linear predictive coding electroencephalography algorithms predict mortality in Parkinson’s disease [PDF]

Clinical Parkinsonism & Related Disorders
Background: Mortality is increased in Parkinson’s disease (PD) and is difficult to predict because of its heterogeneity and the availability of few reliable prognostic markers.
Simin Jamshidi, Arturo I. Espinoza, Jonathan T. Heinzman, Patrick May, Ergun Y. Uc, Nandakumar S. Narayanan, Soura Dasgupta   +6 more
doaj   +2 more sources

Model Reduction for Nonlinear Systems by Incremental Balanced Truncation

IEEE Transactions on Automatic Control, 2014
In this paper, the method of incremental balanced truncation is introduced as a tool for model reduction of nonlinear systems. Incremental balanced truncation provides an extension of balanced truncation for linear systems towards the nonlinear case and differs from existing nonlinear balancing techniques in the definition of two novel energy functions.
Bart Besselink, Henk Nijmeijer, Jacquelien M A Scherpen   +2 more
exaly   +3 more sources

Balanced Truncation of $k$-Positive Systems [PDF]

IEEE Transactions on Automatic Control, 2022
This paper considers balanced truncation of discrete-time Hankel $k$-positive systems, characterized by Hankel matrices whose minors up to order $k$ are nonnegative. Our main result shows that if the truncated system has order $k$ or less, then it is Hankel totally positive ($\infty$-positive), meaning that it is a sum of first order lags.
Christian Grussler, Tobias Damm, Rodolphe Sepulchre   +2 more
openaire   +3 more sources

New Schemes for Positive Real Truncation [PDF]

Modeling, Identification and Control, 2007
Model reduction, based on balanced truncation, of stable and of positive real systems are considered. An overview over some of the already existing techniques are given: Lyapunov balancing and stochastic balancing, which includes Riccati balancing.
Kari Unneland, Paul Van Dooren, Olav Egeland   +2 more
doaj   +1 more source