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Large-scale photonic inverse design: computational challenges and breakthroughs
Recent advancements in inverse design approaches, exemplified by their large-scale
optimization of all geometrical degrees of freedom, have provided a significant paradigm …
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 …
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
Ultrathin meta-optics offer unmatched, multifunctional control of light. Next-generation optical
technologies, however, demand unprecedented performance. This will likely require design …
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 …
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
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 …
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 …
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)) …
Control (MPC)) von partiellen Differentialgleichungen (Partial Differential Equati-ons (PDE)) …
A numerical compass for experiment design in chemical kinetics and molecular property estimation
Kinetic process models are widely applied in science and engineering, including
atmospheric, physiological and technical chemistry, reactor design, or process optimization …
atmospheric, physiological and technical chemistry, reactor design, or process optimization …
Differential recurrent neural network based predictive control
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 …
(DRNN) is developed. The trained network can be directly used in the nonlinear model …
Fast NMPC of a chain of masses connected by springs
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 …
nonlinear model predictive control (NMPC): the standard RTI scheme as described in M …