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Safety-critical cyber-physical systems require control strategies whose worst-case performance is robust against adversarial disturbances and modeling uncertainties. In this paper, we present a framework for approximate control and learning…

Optimization and Control · Mathematics 2023-04-04 Aditya Dave , Ioannis Faros , Nishanth Venkatesh , Andreas A. Malikopoulos

We propose a distributed data-based predictive control scheme to stabilize a network system described by linear dynamics. Agents cooperate to predict the future system evolution without knowledge of the dynamics, relying instead on learning…

Optimization and Control · Mathematics 2020-12-02 Ahmed Allibhoy , Jorge Cortés

We study a family of optimal control problems in which one aims at minimizing a cost that mixes a quadratic control penalization and the variance of the system, both for finitely many agents and for the mean-field dynamics as their number…

Optimization and Control · Mathematics 2021-07-30 Benoît Bonnet , Francesco Rossi

We will present a new general framework for robust and adaptive control that allows for distributed and scalable learning and control of large systems of interconnected linear subsystems. The control method is demonstrated for a linear…

Systems and Control · Computer Science 2019-04-02 Dimitar Ho , John C. Doyle

We consider optimal control of the scalar wave equation where the control enters as a coefficient in the principal part. Adding a total variation penalty allows showing existence of optimal controls, which requires continuity results for…

Optimization and Control · Mathematics 2021-09-28 Christian Clason , Karl Kunisch , Philip Trautmann

This paper studies the problem of controlling linear dynamical systems subject to point-wise-in-time constraints. We present an algorithm similar to online gradient descent, that can handle time-varying and a priori unknown convex cost…

Optimization and Control · Mathematics 2021-11-03 Marko Nonhoff , Matthias A. Müller

This paper considers a class of convex optimization problems where both, the objective function and the constraints, have a continuously varying dependence on time. Our goal is to develop an algorithm to track the optimal solution as it…

Optimization and Control · Mathematics 2015-10-07 Mahyar Fazlyab , Santiago Paternain , Victor M. Preciado , Alejandro Ribeiro

The paper is devoted to the study of a new class of optimal control problems governed by discontinuous constrained differential inclusions of the sweeping type with involving the duration of the dynamic process into optimization. We develop…

Optimization and Control · Mathematics 2023-10-18 Giovanni Colombo , Boris S. Mordukhovich , Dao Nguyen , Trang Nguyen

The goal of this paper is to solve a class of stochastic optimal control problems numerically, in which the state process is governed by an It\^o type stochastic differential equation with control process entering both in the drift and the…

Optimization and Control · Mathematics 2020-06-05 Richard Archibald , Feng Bao , Jiongmin Yong , Tao Zhou

In this paper, we first propose a method that can efficiently compute the maximal robust controlled invariant set for discrete-time linear systems with pure delay in input. The key to this method is to construct an auxiliary linear system…

Systems and Control · Electrical Eng. & Systems 2020-06-19 Zexiang Liu , Liren Yang , Necmiye Ozay

The scalability of massively parallel algorithms is a fundamental question in computer science. We study the scalability and the efficiency of a conservative massively parallel algorithm for discrete-event simulations where the discrete…

Statistical Mechanics · Physics 2007-05-23 G. Korniss , M. A. Novotny , Z. Toroczkai , P. A. Rikvold

The performance, reliability, cost, size and energy usage of computing systems can be improved by one or more orders of magnitude by the systematic use of modern control and optimization methods. Computing systems rely on the use of…

Systems and Control · Computer Science 2017-10-13 Eric C. Kerrigan

In this paper, we study the necessary and sufficient conditions for ensuring the well-posedness of the stochastic singular systems. Moreover, we investigate the stochastic singular linear-quadratic control problems, considering both finite…

Optimization and Control · Mathematics 2024-09-04 Mengzhen Li , Tianyang Nie , Zhen Wu

This paper proposes a method to compute lower performance bounds for discrete-time infinite-horizon min-max control problems with input constraints and bounded disturbances. Such bounds can be used as a performance metric for control…

Optimization and Control · Mathematics 2013-07-09 Tyler H. Summers , Paul J. Goulart

We consider controllable linear discrete-time systems with bounded perturbations and present two methods to compute robust controlled invariant sets. The first method tolerates an arbitrarily small constraint violation to compute an…

Optimization and Control · Mathematics 2018-01-03 Matthias Rungger , Paulo Tabuada

In this paper we extend dynamic programming techniques to the study of discrete-time infinite horizon optimal control problems on compact control invariant sets with state-independent best asymptotic average cost. To this end we analyse the…

Optimization and Control · Mathematics 2023-05-22 David Angeli , Lars Grüne

This paper is concerned with a discounted optimal control problem of partially observed forward-backward stochastic systems with jumps on infinite horizon. The control domain is convex and a kind of infinite horizon observation equation is…

Optimization and Control · Mathematics 2022-01-04 Yueyang Zheng , Jingtao Shi

This work addresses the problem of risk-sensitive control for nonlinear systems with imperfect state observations, extending results for the linear case. In particular, we derive an algorithm that can compute local solutions with…

Optimization and Control · Mathematics 2021-10-22 Bilal Hammoud , Armand Jordana , Ludovic Righetti

We examine the problem of two-point boundary optimal control of nonlinear systems over finite-horizon time periods with unknown model dynamics by employing reinforcement learning. We use techniques from singular perturbation theory to…

Optimization and Control · Mathematics 2023-06-12 Vasanth Reddy , Hoda Eldardiry , Almuatazbellah Boker

A method of optimal control computation is proposed for problems with control and state constraints. It uses a sequence of control structure adjustments in the form of generations and reductions of nodes and arcs, which do not change the…

Optimization and Control · Mathematics 2025-10-21 Maciej Szymkat , Adam Korytowski