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Concept

Pontryagin's maximum principle

Related publications (16)

Analytical Computation of Power Grids’ Sensitivity Coefficients with Voltage-Dependent Injections

Mario Paolone, Sherif Alaa Salaheldin Fahmy

With the increasing need of real-time regulation in power systems, grid-aware-control-frameworks are relying more often on sensitivity coefficients (SCs) to formulate and efficiently solve optimal control problems. As known, SCs are the derivatives of cont ...

IEEE2021

Isogeometric Mortar Coupling for Electromagnetic Problems

Annalisa Buffa, Rafael Vazquez Hernandez

This paper discusses and analyzes two domain decomposition approaches for electromagnetic problems that allow the combination of domains discretized by either Nédélec-type polynomial finite elements or spline-based isogeometric analysis. The first approach ...

2020

Coupling non-conforming discretizations of PDEs by spectral approximation of the Lagrange multiplier space

Simone Deparis, Luca Pegolotti

This work focuses on the development of a non-conforming method for the coupling of PDEs based on weakly imposed transmission conditions: the continuity of the global solution is enforced by a finite number of Lagrange multipliers defined over the interfac ...

2019

Fingering instability on curved substrates: optimal initial film and substrate perturbations

François Gallaire, Gioele Mariano Nicolò Balestra, Yves-Marie François Ducimetière

We investigate the stability of a thin Newtonian fluid spreading on a horizontal cylinder under the action of gravity. The capillary ridge forming at the advancing front is known to be unstable with respect to spanwise perturbations, resulting in the forma ...

Cambridge University Press2019

Optimal Lagrange Multipliers for Dependent Rate Allocation in Video Coding

Pascal Frossard, Fernando Joaquim Leite Pereira, Ana Karina De Abreu Goes

In a typical video rate allocation problem, the objective is to optimally distribute a source rate budget among a set of (in)dependently coded data units to minimize the total distortion. Conventional Lagrangian approaches convert the lone rate constraint ...

Elsevier2018

Dynamic Optimization of Constrained Semi-Batch Processes Using Pontryagin’s Minimum Principle – An Effective Quasi-Newton Approach

Dominique Bonvin

This work considers the numerical optimization of constrained batch and semi-batch processes, for which direct as well as indirect methods exist. Direct methods are often the methods of choice, but they exhibit certain limitations related to the compromise ...

Elsevier2017

Optimized Coding Strategies for Interactive Multiview Video

Ana Karina De Abreu Goes

The natural next step in improving the realistic experience in multimedia services is interactive multiview video (IMV). IMV promises to enable the users to freely navigate through a scene by selecting their preferred viewpoints from any view position for ...

EPFL2015

Second-order sensitivity of parallel shear flows and optimal spanwise-periodic flow modifications

François Gallaire, Edouard Boujo, Andrea Fani

The question of optimal spanwise-periodic modification for the stabilisation of spanwise-invariant flows is addressed. A second-order sensitivity analysis is conducted for the linear temporal stability of parallel flows U-0 subject to small-amplitude spanw ...

Cambridge University Press2015

Finite Dimensional Methods for Differential Flatness

Basile Graf

In Control System Theory, the study of continuous-time, finite dimensional, underdetermined systems of ordinary differential equations is an important topic. Classification of systems in different categories is a natural initial step to the analysis of a g ...

EPFL2013

Sorting genomes with rearrangements and segmental duplications through trajectory graphs

Bernard Moret, Yu Lin, Mingfu Shao

We study the problem of sorting genomes under an evolutionary model that includes genomic rearrangements and segmental duplications. We propose an iterative algorithm to improve any initial evolutionary trajectory between two genomes in terms of parsimony. ...

Biomed Central Ltd2013

Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty

Alfio Quarteroni, Gianluigi Rozza, Andrea Manzoni, Toni Mikael Lassila

We review the optimal design of an arterial bypass graft following either a (i) boundary optimal control approach, or a (ii) shape optimization formulation. The main focus is quantifying and treating the uncertainty in the residual flow when the hosting ar ...

EDP Sciences2013

WAPA: A wearable framework for aerobatic pilot aid

Daniel Thalmann, Sylvain Cardin, Xavier Righetti

Disorientation induced by G-forces during aerobatic flight generates difficulties for the pilots to perfectly align their aerobatic maneuver. This paper presents a modular wearable system for enhancing training of aerobatic pilots. A combination of acceler ...

Springer2009

Optimal control of mass transfer in peritoneal dialysis

Diego Mastalli

The aim of this work is to set up mathematical models and numerical methods to investigate the mass transfer process occurring during the peritoneal dialysis (PD) therapy. More precisely the final goal is the set up of tools to find for each patient submit ...

EPFL2006

Optimal operation of alternating activated sludge processes

Benoît Chachuat

The paper presents a dynamic optimisation study of a small size single basin wastewater treatment plant. The objective is to determine optimal sequences of aeration/non-aeration times so that for a typical diurnal pattern of disturbances, the effluent cons ...

2005

Extension d'algorithmes d'ordre zéro pour l'optimisation stochastique : application au processus d'électro-érosion

Pierre Huguenin

The electrical discharge machining process (EDM) was discovered in the 1950s, and was then used essentially to destroy unrecoverable damaged screws. Since then, huge progress has been achieved in making this process reliable and able to perform the most co ...

EPFL2005

Dynamic Optimisation of Alternating Activated Sludge Processes

Benoît Chachuat

The study presents dynamic optimisation of a small size single basin wastewater treatment plant. The objectives are to determine an optimal sequence of aeration/non-aeration times and the corresponding periodical steady state subject to minimisation of ene ...

2003