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We propose an experimental study of adaptive time-stepping methods for efficient modeling of the aggregation-fragmentation kinetics. Precise modeling of this phenomena usually requires utilization of the large systems of nonlinear ordinary…

数值分析 · 数学 2025-01-20 Sergey A. Matveev , Viktor Zhilin , Alexander P. Smirnov

We investigate a local incremental stationary scheme for the numerical solution of rate-independent systems. Such systems are characterized by a (possibly) non-convex energy and a dissipation potential, which is positively homogeneous of…

数值分析 · 数学 2022-04-13 Merlin Andreia , Christian Meyer

This paper considers the problem of controlling a piecewise continuously differentiable system subject to time-varying uncertainties. The uncertainties are decomposed into a time-invariant, linearly-parameterized portion and a time-varying…

系统与控制 · 电气工程与系统科学 2025-03-12 Ying-Chun Chen , Craig Woolsey

This note extends a recently proposed algorithm for model identification and robust MPC of asymptotically stable, linear time-invariant systems subject to process and measurement disturbances. Independent output predictors for different…

系统与控制 · 电气工程与系统科学 2021-03-02 Enrico Terzi , Lorenzo Fagiano , Marcello Farina , Riccardo Scattolini

This paper considers sequential adaptive estimation of sparse signals under a constraint on the total sensing effort. The advantage of adaptivity in this context is the ability to focus more resources on regions of space where signal…

统计方法学 · 统计学 2013-04-03 Dennis Wei , Alfred O. Hero

This paper introduces an adaptive time splitting technique for the solution of stiff evolutionary PDEs that guarantees an effective error control of the simulation, independent of the fastest physical time scale for highly unsteady…

数值分析 · 数学 2012-04-10 Stéphane Descombes , Max Duarte , Thierry Dumont , Violaine Louvet , Marc Massot

This paper considers real-time control and learning problems for finite-dimensional linear systems under binary-valued and randomly disturbed output observations. This has long been regarded as an open problem because the exact values of…

系统与控制 · 电气工程与系统科学 2024-11-12 Lantian Zhang , Lei Guo

A multirate nonlinear model predictive control (NMPC) strategy is proposed for systems with dynamics and control inputs evolving on different timescales. The proposed multirate formulation of the system model and receding horizon optimal…

最优化与控制 · 数学 2022-07-05 Yana Lishkova , Mark Cannon , Sina Ober-Blöbaum

We consider systems of ordinary differential equations with multiple scales in time. In general, we are interested in the long time horizon of a slow variable that is coupled to solution components that act on a fast scale. Although the…

数值分析 · 数学 2021-04-28 Leopold Lautsch , Thomas Richter

Standard gradient-based iteration algorithms for optimization, such as gradient descent and its various proximal-based extensions to nonsmooth problems, are known to converge slowly for ill-conditioned problems, sometimes requiring many…

数值分析 · 数学 2026-03-24 G. H. M. Araújo , O. A. Krzysik , H. De Sterck

This work uniquely combines an affine linear decision rule known from adjustable robustness with min-max-regret robustness. By doing so, the advantages of both concepts can be obtained with an adjustable solution that is not…

最优化与控制 · 数学 2024-12-02 Kerstin Schneider , Helene Krieg , Dimitri Nowak , Karl-Heinz Küfer

We present a multirate method that is particularly suited for integrating the systems of Ordinary Differential Equations (ODEs) that arise in step models of surface evolution. The surface of a crystal lattice, that is slightly miscut from a…

数值分析 · 数学 2008-10-15 Pak-Wing Fok , Rodolfo R. Rosales

Overset meshes are an effective tool for the computational fluid dynamic simulation of problems with complex geometries or multiscale spatio-temporal features. When the maximum allowable timestep on one or more meshes is significantly…

数值分析 · 数学 2019-07-12 Cory Mikida , Andreas Klöckner , Daniel Bodony

Multistage design has been used in a wide range of scientific fields. By allocating sensing resources adaptively, one can effectively eliminate null locations and localize signals with a smaller study budget. We formulate a…

统计方法学 · 统计学 2024-06-17 Weinan Wang , Bowen Gang , Wenguang Sun

Learning-based control methods utilize run-time data from the underlying process to improve the controller performance under model mismatch and unmodeled disturbances. This is beneficial for optimizing industrial processes, where the…

系统与控制 · 电气工程与系统科学 2021-11-22 Efe C. Balta , Kira Barton , Dawn M. Tilbury , Alisa Rupenyan , John Lygeros

In scalable machine learning systems, model training is often parallelized over multiple nodes that run without tight synchronization. Most analysis results for the related asynchronous algorithms use an upper bound on the information…

机器学习 · 计算机科学 2022-04-12 Xuyang Wu , Sindri Magnusson , Hamid Reza Feyzmahdavian , Mikael Johansson

We present an algorithm for controlling and scheduling multiple linear time-invariant processes on a shared bandwidth limited communication network using adaptive sampling intervals. The controller is centralized and computes at every…

系统与控制 · 计算机科学 2015-06-25 Erik Henriksson , Daniel E. Quevedo , Edwin G. W. Peters , Henrik Sandberg , Karl Henrik Johansson

This work focuses on the development of a new class of high-order accurate methods for multirate time integration of systems of ordinary differential equations. The proposed methods are based on a specific subset of explicit one-step…

数值分析 · 数学 2019-04-16 Vu Thai Luan , Rujeko Chinomona , Daniel R. Reynolds

This paper studies adaptive algorithms for simultaneous regulation (i.e., control) and estimation (i.e., learning) of Multiple Input Multiple Output (MIMO) linear dynamical systems. It proposes practical, easy to implement control policies…

系统与控制 · 电气工程与系统科学 2020-03-05 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

This article focuses on making discrete-time Adaptive Iterative Learning Control (ILC) more effective using multiple estimation models. Existing strategies use the tracking error to adjust the parametric estimates. Our strategy uses the…

系统与控制 · 电气工程与系统科学 2024-06-14 Ram Padmanabhan , Rajini Makam , Koshy George