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This paper studies the learning-to-control problem under process and sensing uncertainties for dynamical systems. In our previous work, we developed a data-based generalization of the iterative linear quadratic regulator (iLQR) to design…

Robotics · Computer Science 2023-11-09 Ran Wang , Raman Goyal , Suman Chakravorty

This paper is concerned with the problem of Model Predictive Control and Rolling Horizon Control of discrete-time systems subject to possibly unbounded random noise inputs, while satisfying hard bounds on the control inputs. We use a…

Optimization and Control · Mathematics 2010-09-08 Peter Hokayem , Debasish Chatterjee , John Lygeros

In this paper, we investigate the controllability of a linear time-invariant network following a Laplacian dynamics defined on a threshold graph. In this direction, an algorithm for deriving the modal matrix associated with the Laplacian…

Optimization and Control · Mathematics 2019-04-23 Shima Sadat Mousavi , Mohammad Haeri , Mehran Mesbahi

Determining the distance between a controllable system to the set of uncontrollable systems, namely, the controllability radius problem, has been extensively studied in the past. However, the opposite direction, that is, determining the…

Optimization and Control · Mathematics 2022-09-07 Yuan Zhang , Yuanqing Xia , Yufeng Zhan , Zhongqi Sun

Predicting how the brain can be driven to specific states by means of internal or external control requires a fundamental understanding of the relationship between neural connectivity and activity. Network control theory is a powerful tool…

Neurons and Cognition · Quantitative Biology 2019-08-12 Teresa M. Karrer , Jason Z. Kim , Jennifer Stiso , Ari E. Kahn , Fabio Pasqualetti , Ute Habel , Danielle S. Bassett

To appropriately select control nodes of a large-scale network system, we propose two control centralities called volumetric and average energy controllability scores. The scores are the unique solutions to convex optimization problems…

Optimization and Control · Mathematics 2024-01-30 Kazuhiro Sato , Shun Terasaki

We consider the problem of adaptive stabilization for discrete-time, multi-dimensional linear systems with bounded control input constraints and unbounded stochastic disturbances, where the parameters of the true system are unknown. To…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

In this paper, we equip the conventional discrete-time queueing network with a Markovian input process, that, in addition to the usual short-term stochastics, governs the mid- to long-term behavior of the links between the network nodes.…

Systems and Control · Electrical Eng. & Systems 2020-04-07 Richard Schoeffauer , Gerhard Wunder

We propose a novel data-driven stochastic model predictive control framework for uncertain linear systems with noisy output measurements. Our approach leverages multi-step predictors to efficiently propagate uncertainty, ensuring chance…

Systems and Control · Electrical Eng. & Systems 2025-03-18 Haldun Balim , Andrea Carron , Melanie N. Zeilinger , Johannes Köhler

The quantification of controllability and observability has recently received new interest in the context of large, complex networks of dynamical systems. A fundamental but computationally difficult problem is the placement or selection of…

Optimization and Control · Mathematics 2016-11-15 Fabrizio L. Cortesi , Tyler H. Summers , John Lygeros

In this paper, we consider the problem of tuning the edge weights of a networked system described by linear time-invariant dynamics. We assume that the topology of the underlying network is fixed and that the set of feasible edge weights is…

Optimization and Control · Mathematics 2020-01-07 Cassiano O. Becker , Sérgio Pequito , George J. Pappas , Victor M. Preciado

The minimum number of inputs needed to control a network is frequently used to quantify its controllability. Control of linear dynamics through a minimum set of inputs, however, often has prohibitively large energy requirements and there is…

Computational Engineering, Finance, and Science · Computer Science 2022-12-12 Samie Alizadeh , Márton Pósfai , Abdorasoul Ghasemi

We construct control policies that ensure bounded variance of a noisy marginally stable linear system in closed-loop. It is assumed that the noise sequence is a mutually independent sequence of random vectors, enters the dynamics affinely,…

Optimization and Control · Mathematics 2010-10-05 Federico Ramponi , Debasish Chatterjee , Andreas Milias-Argeitis , Peter Hokayem , John Lygeros

We develop a formalism to describe the discrete-time dynamics of systems containing an arbitrary number of interacting species. The individual-based model, which forms our starting point, is described by a Markov chain, which in the limit…

Statistical Mechanics · Physics 2014-10-06 César Parra-Rojas , Joseph D. Challenger , Duccio Fanelli , Alan J. McKane

This paper addresses the mean-square optimal control problem for \a class of discrete-time linear systems with a quasi-colored control-dependent multiplicative noise via output feedback. The noise under study is novel and shown to have…

Systems and Control · Electrical Eng. & Systems 2021-09-06 Junhui Li , Jieying Lu , Weizhou Su

In this paper we propose a stochastic model predictive control (MPC) algorithm for linear discrete-time systems affected by possibly unbounded additive disturbances and subject to probabilistic constraints. Constraints are treated in…

Systems and Control · Computer Science 2019-02-15 Lukas Hewing , Melanie N. Zeilinger

We investigate the asymptotic properties of a finite-time horizon linear-quadratic optimal control problem driven by a multiscale stochastic process with multiplicative Brownian noise. We approach the problem by considering the associated…

Optimization and Control · Mathematics 2020-11-19 Beniamin Goldys , Gianmario Tessitore , James Yang , Zhou Zhou

Sensitivity of linear continuous-time control systems, subject to control and measurement noise, is analyzed by deriving the lower bounds of Bode-like integrals via an information-theoretic approach. Bode integrals of four different…

Systems and Control · Computer Science 2018-11-27 Neng Wan , Dapeng Li , Naira Hovakimyan

The controllability of networked sampled-data systems with zero-order holders on the control and transmission channels is explored, where single- and multi-rate sampling patterns are considered, respectively. The effects of sampling on the…

Systems and Control · Electrical Eng. & Systems 2023-02-28 Zixuan Yang , Xiaofan Wang , Lin Wang

Controlling complex networks is of paramount importance in science and engineering. Despite the recent development of structural-controllability theory, we continue to lack a framework to control undirected complex networks, especially…

Physics and Society · Physics 2013-10-23 Zhengzhong Yuan , Chen Zhao , Zengru Di , Wen-Xu Wang , Ying-Cheng Lai