Large-scale photonic inverse design: computational challenges and breakthroughs

C Kang, C Park, M Lee, J Kang, MS Jang, H Chung - Nanophotonics, 2024 - degruyter.com
Recent advancements in inverse design approaches, exemplified by their large-scale
optimization of all geometrical degrees of freedom, have provided a significant paradigm …

[BUCH][B] Nonlinear programming: concepts, algorithms, and applications to chemical processes

LT Biegler - 2010 - SIAM
Chemical engineering applications have been a source of challenging optimization
problems for over 50 years. For many chemical process systems, detailed steady state and …

Inverse design and flexible parameterization of meta-optics using algorithmic differentiation

S Colburn, A Majumdar - Communications Physics, 2021 - nature.com
Ultrathin meta-optics offer unmatched, multifunctional control of light. Next-generation optical
technologies, however, demand unprecedented performance. This will likely require design …

A Swee** Gradient Method for Ordinary Differential Equations with Events

BWL Margolis - Journal of Optimization Theory and Applications, 2023 - Springer
In this paper, we use the calculus of variations to derive a sensitivity analysis for ordinary
differential equations with events. This swee** gradient method (SGM) requires a forward …

Nonlinear system identification for predictive control using continuous time recurrent neural networks and automatic differentiation

RK Al Seyab, Y Cao - Journal of Process Control, 2008 - Elsevier
In this paper, a continuous time recurrent neural network (CTRNN) is developed to be used
in nonlinear model predictive control (NMPC) context. The neural network represented in a …

Automatic differentiation of explicit Runge-Kutta methods for optimal control

A Walther - Computational Optimization and Applications, 2007 - Springer
This paper considers the numerical solution of optimal control problems based on ODEs. We
assume that an explicit Runge-Kutta method is applied to integrate the state equation in the …

[BUCH][B] Model predictive control for partial differential equations

N Altmüller - 2014 - search.proquest.com
Abstract Das Thema dieser Dissertation ist die Modellprädiktive Regelung (Model Predictive
Control (MPC)) von partiellen Differentialgleichungen (Partial Differential Equati-ons (PDE)) …

A numerical compass for experiment design in chemical kinetics and molecular property estimation

M Krüger, A Mishra, P Spichtinger, U Pöschl… - Journal of …, 2024 - Springer
Kinetic process models are widely applied in science and engineering, including
atmospheric, physiological and technical chemistry, reactor design, or process optimization …

Differential recurrent neural network based predictive control

RK Al Seyab, Y Cao - Computers & Chemical Engineering, 2008 - Elsevier
In this paper an efficient algorithm to train general differential recurrent neural network
(DRNN) is developed. The trained network can be directly used in the nonlinear model …

Fast NMPC of a chain of masses connected by springs

L Wirsching, HG Bock, M Diehl - 2006 IEEE Conference on …, 2006 - ieeexplore.ieee.org
Aim of this study is to compare two variants of the real-time iteration (RTI) scheme in
nonlinear model predictive control (NMPC): the standard RTI scheme as described in M …