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We consider both discrete and continuous control problems constrained by a fixed budget of some resource, which may be renewed upon entering a preferred subset of the state space. In the discrete case, we consider both deterministic and…

Optimization and Control · Mathematics 2014-09-30 Ryo Takei , Weiyan Chen , Zachary Clawson , Slav Kirov , Alexander Vladimirsky

We study the minimization of the expected costs under stochastic constraint at the terminal time. The first and the main result says that for a power type of costs, the value function is the minimal positive solution of a second order…

Probability · Mathematics 2020-01-28 Yan Dolinsky , Benjamin Gottesman , Ori Gurel-Gurevich

This paper presents a novel convex optimization-based method for finding the globally optimal solutions of a class of mixed-integer non-convex optimal control problems. We consider problems with non-convex constraints that restrict the…

Optimization and Control · Mathematics 2019-11-21 Danylo Malyuta , Behcet Acikmese

The problem of balancing covariates arises in observational studies where one is given a group of control samples and another group, disjoint from the control group, of treatment samples. Each sample, in either group, has several observed…

Data Structures and Algorithms · Computer Science 2020-07-15 Dorit S. Hochbaum , Xu Rao

We explore here surprising links between the time-cost-tradeoff problem and the minimum cost flow problem that lead to fast, strongly polynomial, algorithms for both problems. One of the main results is a new algorithm for the unit capacity…

Data Structures and Algorithms · Computer Science 2025-07-30 Dorit S. Hochbaum

This paper considers the problem of regulating a dynamical system to equilibria that are defined as solutions of an input- and state-constrained optimization problem. To solve this regulation task, we design a state feedback controller…

Systems and Control · Electrical Eng. & Systems 2023-12-14 Yiting Chen , Liliaokeawawa Cothren , Jorge Cortes , Emiliano Dall'Anese

This paper considers the problem of adapting a predesigned policy, represented by a parameterized function class, from a solution that minimizes a given original cost function to a trade-off solution between minimizing the original…

Systems and Control · Electrical Eng. & Systems 2025-10-06 Wenjian Hao , Zehui Lu , Nicolas Miguel , Shaoshuai Mou

We investigate a Linear-Quadratic-Gaussian (LQG) control and sensing co-design problem, where one jointly designs sensing and control policies. We focus on the realistic case where the sensing design is selected among a finite set of…

Optimization and Control · Mathematics 2020-05-20 Vasileios Tzoumas , Luca Carlone , George J. Pappas , Ali Jadbabaie

This study proposes a simple controller design approach to achieve a class of robustness, the so-called iso-damping property. The proposed approach can be executed using only one-shot input/output data. An accurate mathematical model of a…

Systems and Control · Electrical Eng. & Systems 2025-09-15 Ansei Yonezawa , Heisei Yonezawa , Shuichi Yahagi , Itsuro Kajiwara

This work presents a novel algorithm for impulsive optimal control of linear time-varying systems with the inclusion of input magnitude constraints. Impulsive optimal control problems, where the optimal input solution is a sum of delta…

Optimization and Control · Mathematics 2026-03-17 Ethan Foss , Simone D'Amico

This paper presents a new fast and robust algorithm that provides fuel-optimal impulsive control input sequences that drive a linear time-variant system to a desired state at a specified time. This algorithm is applicable to a broad class…

Optimization and Control · Mathematics 2020-10-06 Adam W. Koenig , Simone D'Amico

This paper studies optimal time-bounded control in multi-mode systems with discrete costs. Multi-mode systems are an important subclass of linear hybrid systems, in which there are no guards on transitions and all invariants are global.…

Logic in Computer Science · Computer Science 2017-06-30 Mahmoud A. A. Mousa , Sven Schewe , Dominik Wojtczak

In model-predictive control (MPC), achieving the best closed-loop performance under a given computational resource is the underlying design consideration. This paper analyzes the MPC design problem with control performance and required…

Optimization and Control · Mathematics 2016-04-25 Vincent Bachtiar , Chris Manzie , William H. Moase , Eric C. Kerrigan

The primary focus of this paper is on designing an inexact first-order algorithm for solving constrained nonlinear optimization problems. By controlling the inexactness of the subproblem solution, we can significantly reduce the…

Optimization and Control · Mathematics 2019-11-19 Hao Wang , Fan Zhang , Jiashan Wang , Yuyang Rong

Minimum cost homomorphism problems can be viewed as a generalization of list homomorphism problems. They also extend two well-known graph colouring problems: the minimum colour sum problem and the optimum cost chromatic partition problem.…

Computational Complexity · Computer Science 2016-08-23 Pavol Hell , Mayssam Mohammadi Nevisi

We consider the problem of establishing minimum-cost multicast connections over coded packet networks, i.e. packet networks where the contents of outgoing packets are arbitrary, causal functions of the contents of received packets. We…

Information Theory · Computer Science 2007-07-16 Desmond S. Lun , Niranjan Ratnakar , Muriel Medard , Ralf Koetter , David R. Karger , Tracey Ho , Ebad Ahmed , Fang Zhao

We consider the configuration formation problem in modular robotic systems where a set of singleton modules that are spatially distributed in an environment are required to assume appropriate positions so that they can configure into a new,…

Robotics · Computer Science 2022-10-04 Ayan Dutta , Prithviraj Dasgupta

We investigate the complexity and approximability of the budget-constrained minimum cost flow problem, which is an extension of the traditional minimum cost flow problem by a second kind of costs associated with each edge, whose total value…

Data Structures and Algorithms · Computer Science 2016-07-11 Michael Holzhauser , Sven O. Krumke , Clemens Thielen

The design of optimal dynamic disturbance accommodation controller with limited model information is considered. We adapt the family of limited model information control design strategies, defined earlier by the authors, to handle dynamic…

Optimization and Control · Mathematics 2012-08-01 F. Farokhi , C. Langbort , K. H. Johansson

Resource allocation is a fundamental problem in Industrial Internet of Things (IIoT) systems, in which devices work together under limited communication bandwidth to complete diverse tasks. This paper proposes a communication-efficient…

Optimization and Control · Mathematics 2026-05-26 Yuzhu Duan , Ziwen Yang , Xiaoming Duan , Shanying Zhu
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