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The purpose of this work is to study an optimal control problem for a semilinear elliptic partial differential equation with a linear combination of Dirac measures as a forcing term; the control variable corresponds to the amplitude of such…

最优化与控制 · 数学 2023-07-04 Enrique Otarola

Dynamic Algorithm Configuration (DAC) tackles the question of how to automatically learn policies to control parameters of algorithms in a data-driven fashion. This question has received considerable attention from the evolutionary…

机器学习 · 计算机科学 2023-08-15 Deyao Chen , Maxim Buzdalov , Carola Doerr , Nguyen Dang

This paper proposes to decouple performance optimization and enforcement of asymptotic convergence in Model Predictive Control (MPC) so that convergence to a given terminal set is achieved independently of how much performance is optimized…

系统与控制 · 计算机科学 2015-03-02 Alberto Bemporad , Daniele Bernardini , Panagiotis Patrinos

We consider the nonlinear optimal control of bypass transition in a boundary layer flow subjected to a pair of free stream vortical perturbations using a receding horizon approach. The optimal control problem is solved using the Lagrange…

流体动力学 · 物理学 2018-09-25 Dandan Xiao , George Papadakis

We consider the optimal control problem governed by diffusion convection reaction equation without control constraints. The proper orthogonal decomposition(POD) method is used to reduce the dimension of the problem. The POD method may be…

最优化与控制 · 数学 2015-05-21 Tuğba Akman

A novel method for control of dynamical systems, proposed in the paper, ensures an output signal belonging to the given set at any time. The method is based on a special change of coordinates such that the initial problem with given…

系统与控制 · 电气工程与系统科学 2019-12-19 Igor Furtat

The aim of this paper is to present a new method of approximation of planar data set using only arcs or segments. The first problem we are trying to solve is the following: the CNC machines can work only with simple curves (arcs or…

数值分析 · 数学 2013-11-25 Maurizio Scarparo

We consider a dynamic method, based on synchronization and adaptive control, to estimate unknown parameters of a nonlinear dynamical system from a given scalar chaotic time series. We present an important extension of the method when time…

混沌动力学 · 物理学 2009-10-31 Anil Maybhate , R. E. Amritkar

We present a parameter estimation method in Ordinary Differential Equation (ODE) models. Due to complex relationships between parameters and states the use of standard techniques such as nonlinear least squares can lead to the presence of…

统计方法学 · 统计学 2018-10-11 Quentin Clairon

This paper presents an inverse optimality method to solve the Hamilton-Jacobi-Bellman equation for a class of nonlinear problems for which the cost is quadratic and the dynamics are affine in the input. The method is inverse optimal because…

最优化与控制 · 数学 2011-10-11 Luis Rodrigues , Didier Henrion , Mehdi Abedinpour Fallah

We introduce the concept of a control contraction metric, extending contraction analysis to constructive nonlinear control design. We derive sufficient conditions for exponential stabilizability of all trajectories of a nonlinear control…

系统与控制 · 计算机科学 2017-02-09 Ian R. Manchester , Jean-Jacques E. Slotine

This paper presents a new parameter free partially penalized immersed finite element method and convergence analysis for solving second order elliptic interface problems. A lifting operator is introduced on interface edges to ensure the…

数值分析 · 数学 2022-02-23 Haifeng Ji , Feng Wang , Jinru Chen , Zhilin Li

This paper focusses on the optimal control problems governed by fourth-order linear elliptic equations with clamped boundary conditions in the framework of the Hessian discretisation method (HDM). The HDM is an abstract framework that…

数值分析 · 数学 2022-12-14 Devika Shylaja

We provide a new perspective on the study of parameterized optimization problems. Our approach combines methods for post-optimal sensitivity analysis and ordinary differential equations to quantify the uncertainty in the minimizer due to…

最优化与控制 · 数学 2022-09-26 Alen Alexanderian , Joseph Hart , Mason Stevens

We show that Boundary Control method, a method for hyperbolic inverse problems, is also capable of dealing directly with certain classes of elliptic and parabolic Inverse Boundary Value Problems; thus pointing towards Boundary Control…

综合数学 · 数学 2025-04-10 Dimitra Kyriakopoulou

Target parameter estimation in active sensing, and particularly radar signal processing, is a long-standing problem that has been studied extensively. In this paper, we propose a novel approach for target parameter estimation in cases where…

信号处理 · 电气工程与系统科学 2022-08-10 Aria Ameri , Arindam Bose , Jian Li , Mojtaba Soltanalian

In this paper we consider a parabolic optimal control problem with a Dirac type control with moving point source in two space dimensions. We discretize the problem with piecewise constant functions in time and continuous piecewise linear…

数值分析 · 数学 2018-08-17 Dmitriy Leykekhman , Boris Vexler

The optimal control input for linear systems can be solved from algebraic Riccati equation (ARE), from which it remains questionable to get the form of the exact solution. In engineering, the acceptable numerical solutions of ARE can be…

系统与控制 · 电气工程与系统科学 2022-01-07 Shengbo Wang , Shiping Wen , Kaibo Shi , Song Zhu , Tingwen Huang

We develop a new method which extends Dynamic Mode Decomposition (DMD) to incorporate the effect of control to extract low-order models from high-dimensional, complex systems. DMD finds spatial-temporal coherent modes, connects local-linear…

最优化与控制 · 数学 2014-09-24 Joshua L. Proctor , Steven L. Brunton , J. Nathan Kutz

Problems with localized nonhomogeneous material properties present well-known challenges for numerical simulations. In particular, such problems may feature large differences in length scales, causing difficulties with meshing and…