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In this paper we consider a recently developed distributed optimization algorithm based on gradient tracking. We propose a system theory framework to analyze its structural properties on a preliminary, quadratic optimization set-up.…

Systems and Control · Electrical Eng. & Systems 2020-06-03 Michelangelo Bin , Ivano Notarnicola , Lorenzo Marconi , Giuseppe Notarstefano

The ubiquitous expansion and transformation of the energy supply system involves large-scale power infrastructure construction projects. In the view of investments of more than a million dollars per kilometre, planning authorities aim to…

Optimization and Control · Mathematics 2021-02-02 Nina Wiedemann , David Adjiashvili

We develop a new analysis for portfolio optimisation with options, tackling the three fundamental issues with this problem: asymmetric options' distributions, high dimensionality and dependence structure. To do so, we propose a new…

Portfolio Management · Quantitative Finance 2024-09-10 Jonathan Raimana Chan , Thomas Huckle , Antoine Jacquier , Aitor Muguruza

The techniques and analysis presented in this thesis provide new methods to solve optimization problems posed on Riemannian manifolds. These methods are applied to the subspace tracking problem found in adaptive signal processing and…

Optimization and Control · Mathematics 2013-05-09 Steven Thomas Smith

This letter proposes to estimate low-rank matrices by formulating a convex optimization problem with non-convex regularization. We employ parameterized non-convex penalty functions to estimate the non-zero singular values more accurately…

Computer Vision and Pattern Recognition · Computer Science 2016-04-14 Ankit Parekh , Ivan W. Selesnick

We propose a solution strategy for a multimaterial minimum compliance topology optimization problem, which consists in finding the optimal allocation of a finite number of candidate (possibly anisotropic) materials inside a reference…

Numerical Analysis · Mathematics 2018-07-04 Francesco Regazzoni , Nicola Parolini , Marco Verani

One innovative solution to the last-mile delivery problem is the self-service locker system. Motivated by a real case in Singapore, we consider a POP-Locker Alliance who operates a set of POP-stations and wishes to improve the last-mile…

Optimization and Control · Mathematics 2020-02-25 Yun Hui Lin , Dongdong He , Yuan Wang , Loo Hay Lee

We propose a novel Model Order Reduction framework that is able to handle solutions of hyperbolic problems characterized by multiple travelling discontinuities. By means of an optimization based approach, we introduce suitable calibration…

Numerical Analysis · Mathematics 2025-05-14 Monica Nonino , Davide Torlo

In the present work, we consider nonlinear control systems for which there exist structural obstacles to the design of classical continuous backstepping feedback laws. We conceive feedback laws such that the origin of the closed-loop system…

Optimization and Control · Mathematics 2015-08-12 Humberto Stein Shiromoto , Vincent Andrieu , Christophe Prieur

Optimization of frame structures is formulated as a~non-convex optimization problem, which is currently solved to local optimality. In this contribution, we investigate four optimization approaches: (i) general non-linear optimization, (ii)…

Optimization and Control · Mathematics 2019-09-17 Marek Tyburec , Jan Zeman , Martin Kružík , Didier Henrion

Image segmentation is an inherently ill-posed problem and thus requires regularization in order to limit the search space to reasonable solutions. A majority of segmentation methods integrates these regularization terms in one way or the…

Numerical Analysis · Mathematics 2018-10-31 Uri Nahum , Philippe C. Cattin

We study in this paper solutions to several kinds of linear bimatrix equations arising from pole assignment and stability analysis of complex-valued linear systems, which have several potential applications in control theory, particularly,…

Dynamical Systems · Mathematics 2017-08-29 Bin Zhou

This paper addresses the problem of designing recommendation systems for social networks and e-commerce platforms from a control-theoretic perspective. We treat the design of recommendation systems as a state-feedback infinite-horizon…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Simone Mariano , Paolo Frasca

Considering that the physical design of printed circuit board (PCB) follows the principle of modularized design, this paper proposes an automatic placement algorithm for functional modules. We first model the placement problem as a…

Other Computer Science · Computer Science 2025-02-21 Hangyuan Li , Zhaoyang Yang , Haotian Pang , Ning Xu , Yu Chen

This paper proposes a feedback linearizing law for single-track dynamic models, allowing the design of a trajectory tracking controller exploiting linear control theory. The main characteristics of this algorithm are its simplicity, its…

Systems and Control · Electrical Eng. & Systems 2020-04-03 Luca Bascetta , Marcello Farina , Alessandro Gabrielli , Matteo Matteucci

We present an efficient framework for solving algebraically-constrained global non-convex polynomial optimization problems over subsets of the hypercube. We prove the existence of an equivalent nonlinear reformulation of such problems that…

Optimization and Control · Mathematics 2024-09-05 Mitchell Tong Harris , Pierre-David Letourneau , Dalton Jones , M. Harper Langston

Optimal control of switched systems is challenging due to the discrete nature of the switching control input. The embedding-based approach addresses this challenge by solving a corresponding relaxed optimal control problem with only…

Optimization and Control · Mathematics 2015-03-25 Hua Chen , Wei Zhang

Real-time scheduling algorithms proposed in the literature are often based on worst-case estimates of task parameters. The performance of an open-loop scheme can be degraded significantly if there are uncertainties in task parameters, such…

Operating Systems · Computer Science 2017-10-13 Mason Thammawichai , Eric C. Kerrigan

We propose a top-down approach for formation control of heterogeneous multi-agent systems, based on the method of eigenstructure assignment. Given the problem of achieving scalable formations on the plane, our approach globally computes a…

Systems and Control · Computer Science 2017-08-17 Takatoshi Motoyama , Kai Cai

This paper presents policy-based motion planning for robotic systems. The motion planning literature has been mostly focused on open-loop trajectory planning which is followed by tracking online. In contrast, we solve the problem of path…

Robotics · Computer Science 2024-01-08 Guoxiang Zhao , Devesh K. Jha , Yebin Wang , Minghui Zhu
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