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A new topology optimization method called the Proportional Topology Optimization (PTO) is presented. As a non-gradient method, PTO is simple to understand, easy to implement, and is also efficient and accurate at the same time. It is…

Computational Engineering, Finance, and Science · Computer Science 2016-05-30 Emre Biyikli , Albert C. To

The dramatic increase of network infrastructure comes at the cost of rapidly increasing energy consumption, which makes optimization of energy efficiency (EE) an important topic. Since EE is often modeled as the ratio of rate to power, we…

Information Theory · Computer Science 2015-03-19 Christian Isheden , Zhijiat Chong , Eduard Jorswieck , Gerhard Fettweis

This paper proposes a robust optimal eco-driving control strategy considering multiple signalized intersections with uncertain traffic signal timing. A spatial vehicle velocity profile optimization formulation is developed to minimize the…

Optimization and Control · Mathematics 2018-02-21 Chao Sun , Xinwei Shen , Scott Moura

We propose an algorithm for solving the time-dependent shortest path problem in flow fields where the FIFO (first-in-first-out) assumption is violated. This problem variant is important for autonomous vehicles in the ocean, for example,…

Robotics · Computer Science 2019-09-06 James Ju Heon Lee , Chanyeol Yoo , Stuart Anstee , Robert Fitch

The problem under consideration is to drive a spatial vehicle to a target at a given final time while minimizing fuel consumption. This is a classical optimal control problem in a deterministic setting. However temporary stochastic failures…

Numerical Analysis · Mathematics 2025-11-19 Jean-Philippe Chancelier , Pierre Carpentier , Guy Cohen , Thierry Dargent , Richard Epenoy

We propose a general technique for improving alternating optimization (AO) of nonconvex functions. Starting from the solution given by AO, we conduct another sequence of searches over subspaces that are both meaningful to the optimization…

Computation · Statistics 2014-12-16 W. James Murdoch , Mu Zhu

In computational inverse problems, the optimal experimental design (OED) problem seeks the best locations in time and space at which to take measurements. We investigate the nonlinear OED problem in the context of continuously-indexed…

Numerical Analysis · Mathematics 2025-06-10 Ruhui Jin , Qin Li , Stephen O. Mussmann , Stephen J. Wright

Chance-constrained optimization (CCO) has been widely used for uncertainty management in power system operation. With the prevalence of wind energy, it becomes possible to consider the wind curtailment as a dispatch variable in CCO.…

Systems and Control · Electrical Eng. & Systems 2023-04-06 Xingyu Lei , Zhifang Yang , Junbo Zhao , Juan Yu

In this article, we consider the problem of unconstrained time-varying convex optimization, where the cost function changes with time. We provide an in-depth technical analysis of the problem and argue why freezing the cost at each time…

Optimization and Control · Mathematics 2024-10-28 M. Rostami , S. S. Kia

Power grid operators face increasing difficulties in the control room as the increase in energy demand and the shift to renewable energy introduce new complexities in managing congestion and maintaining a stable supply. Effective grid…

This paper addresses the challenges of decision-making for autonomous vehicles under faults during a transport mission. A real-time decision-making problem of vehicle routing planning considering maintenance management is formulated as an…

Systems and Control · Electrical Eng. & Systems 2022-02-10 Xin Tao , Zhao Yuan

The paper addresses a continuous-time continuous-space chance-constrained stochastic optimal control (SOC) problem where the probability of failure to satisfy given state constraints is explicitly bounded. We leverage the notion of exit…

Systems and Control · Electrical Eng. & Systems 2025-11-26 Apurva Patil , Alfredo Duarte , Fabrizio Bisetti , Takashi Tanaka

Accurate and consistent vehicle localization in urban areas is challenging due to the large-scale and complicated environments. In this paper, we propose onlineFGO, a novel time-centric graph-optimization-based localization method that…

Robotics · Computer Science 2023-09-04 Haoming Zhang , Felix Widmayer , Lars Lünnemann , Dirk Abel

We propose an efficient algorithm for solving orthogonal canonical correlation analysis (OCCA) in the form of trace-fractional structure and orthogonal linear projections. Even though orthogonality has been widely used and proved to be a…

Machine Learning · Computer Science 2019-09-26 Leihong Zhang , Li Wang , Zhaojun Bai , Ren-cang Li

The Transient Stability-Constrained Optimal Power Flow (TSC-OPF) incorporates dynamic stability constraints into the OPF formulation to ensure secure and economical operation under disturbances. While discretizing system dynamics enables…

Systems and Control · Electrical Eng. & Systems 2025-11-10 Alex Junior da Cunha Coelho , Araceli Hernandez , Luis Badesa

The optimization of fuel-optimal low-thrust collision avoidance maneuvers (CAMs) in scenarios involving multiple encounters between spacecraft is addressed. The optimization's objective is the minimization of the total fuel consumption…

Optimization and Control · Mathematics 2024-06-07 Zeno Pavanello , Laura Pirovano , Roberto Armellin , Andrea De Vittori , Pierluigi Di Lizia

Robust optimization (RO) is one of the key paradigms for solving optimization problems affected by uncertainty. Two principal approaches for RO, the robust counterpart method and the adversarial approach, potentially lead to excessively…

Optimization and Control · Mathematics 2024-09-05 Krzysztof Postek , Shimrit Shtern

We develop and apply a novel shape optimization exemplified for a two-blade rotor with respect to the figure of merit ($FM$). This topologically assisted optimization (TAO) contains two steps. First a global evolutionary optimization is…

In the framework of real Hilbert spaces we study continuous in time dynamics as well as numerical algorithms for the problem of approaching the set of zeros of a single-valued monotone and continuous operator $V$. The starting poin is a…

Optimization and Control · Mathematics 2024-02-23 Radu Ioan Bot , Ernö Robert Csetnek , Dang-Khoa Nguyen

This paper proposes an iterative method to solve Mixed-Integer Optimal Control Problems arising from systems with switched dynamics. The so-called relaxed problem plays a central role within this context. Through a numerical example, it is…

Optimization and Control · Mathematics 2025-12-09 Ramin Abbasi-Esfeden , Wim Van Roy , Jan Swevers