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Mixtures of multivariate contaminated shifted asymmetric Laplace distributions are developed for handling asymmetric clusters in the presence of outliers (also referred to as bad points herein). In addition to the parameters of the related…

Methodology · Statistics 2018-04-25 Katherine Morris , Antonio Punzo , Paul D. McNicholas , Ryan P. Browne

Despite the celebrated success of stochastic control approaches for uncertain systems, such approaches are limited in the ability to handle non-Gaussian uncertainties. This work presents an adaptive robust control for linear uncertain…

Optimization and Control · Mathematics 2026-01-13 Xuehui Ma , Shiliang Zhang , Zhiyong Sun , Xiaohui Zhang , Sabita Maharjan

In this paper, we study the problem of how to optimally steer the state covariance of a general continuous-time linear stochastic system over a finite time interval subject to additive noise. Optimality here means reaching a target state…

Systems and Control · Electrical Eng. & Systems 2023-02-16 Fengjiao Liu , Panagiotis Tsiotras

Utilization of noise for the control of a class of non-linear systems is presented. The application of state-multiplicative noise as a mean of control is far more limited then the use of standard determinis?tic gains. Nevertheless, so…

Optimization and Control · Mathematics 2025-05-14 Adrian-Mihail Stoica , Isaac Yaesh

Programmable logic controller (PLC) based industrial control systems (ICS) are used to monitor and control critical infrastructure. Integration of communication networks and an Internet of Things approach in ICS has increased ICS…

Machine Learning · Computer Science 2023-02-07 Emmanuel Aboah Boateng , Bruce J. W

In this paper, we consider the problem of steering a family of independent, structurally identical, finite-dimensional stochastic linear systems with variation in system parameters between initial and target states of interest by using an…

Optimization and Control · Mathematics 2012-01-10 Ji Qi , Anatoly Zlotnik , Jr-Shin Li

This paper presents a novel Sliding Mode Control (SMC) algorithm to handle mismatched uncertainties in systems via a novel Self-Learning Disturbance Observer (SLDO). A computationally efficient SLDO is developed within a framework of…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Erkan Kayacan

This paper studies the finite-horizon robust optimal control of constrained linear systems subject to model mismatch and additive stochastic disturbances. Utilizing the system level synthesis (SLS) parameterization, we propose a novel SLS…

Optimization and Control · Mathematics 2025-10-09 Yun Li , Jicheng Shi , Colin N. Jones , Neil Yorke-Smith , Tamas Keviczky

In this article, we investigate the problem of simultaneously steering an uncountable family of finite dimensional time-varying linear systems. We call this class of control problems Ensemble Control, a notion coming from the study of spin…

Dynamical Systems · Mathematics 2008-10-29 Jr-Shin Li

We propose a methodology for performing risk-averse quadratic regulation of partially observed Linear Time-Invariant (LTI) systems disturbed by process and output noise. To compensate against the induced variability due to both types of…

Optimization and Control · Mathematics 2022-04-20 Nikolas Koumpis , Anastasios Tsiamis , Dionysios Kalogerias

This work develops a stochastic model predictive controller~(SMPC) for uncertain linear systems with additive Gaussian noise subject to state and control constraints. The proposed approach is based on the recently developed finite-horizon…

Optimization and Control · Mathematics 2019-11-26 Kazuhide Okamoto , Panagiotis Tsiotras

We address the problem of steering the phase distribution of oscillators all receiving the same control input to a given target distribution. In a large population limit, the distribution of oscillators can be described by a probability…

Systems and Control · Electrical Eng. & Systems 2025-07-30 Kaito Ito , Haruhiro Kume , Hideaki Ishii

State-space models are pivotal for dynamic system analysis but often struggle with outlier data that deviates from Gaussian distributions, frequently exhibiting skewness and heavy tails. This paper introduces a robust extension utilizing…

Signal Processing · Electrical Eng. & Systems 2025-07-31 Yifan Yu , Shengjie Xiu , Daniel P. Palomar

We study how to safely control nonlinear control-affine systems that are corrupted with bounded non-stochastic noise, i.e., noise that is unknown a priori and that is not necessarily governed by a stochastic model. We focus on safety…

Systems and Control · Electrical Eng. & Systems 2024-12-11 Hongyu Zhou , Yichen Song , Vasileios Tzoumas

A number of important modern applications in optimal control can be formulated as open loop control problems in which the underlying dynamical systems are subject to random inputs. These so-called ensemble control problems require the…

Optimization and Control · Mathematics 2026-05-05 Alessandro Scagliotti , Thomas M. Surowiec

We simulate the transition from amplified spontaneous emission (ASE) to lasing in random systems with varying degrees of mode overlap. This is accomplished by solving the stochastic Maxwell-Bloch equations with the finite-difference…

Optics · Physics 2010-12-30 Jonathan Andreasen , Hui Cao

Orthogonal group synchronization aims to recover orthogonal group elements from their noisy pairwise measurements. It has found numerous applications including computer vision, imaging science, and community detection. Due to the orthogonal…

Statistics Theory · Mathematics 2025-02-21 Ziliang Samuel Zhong , Shuyang Ling

We study performance limitations of distributed feedback control in large-scale networked dynamical systems. Specifically, we address the question of how the performance of distributed integral control is affected by measurement noise. We…

Optimization and Control · Mathematics 2019-07-23 Emma Tegling , Henrik Sandberg

Ensemble Learning methods combine multiple algorithms performing the same task to build a group with superior quality. These systems are well adapted to the distributed setup, where each peer or machine of the network hosts one algorithm…

Machine Learning · Computer Science 2021-10-19 Gaëlle Candel , David Naccache

In this paper, we address the stochastic MPC (SMPC) problem for linear systems, subject to chance state constraints and hard input constraints, under unknown noise distribution. First, we reformulate the chance state constraints as…

Systems and Control · Electrical Eng. & Systems 2022-04-05 Charis Stamouli , Anastasios Tsiamis , Manfred Morari , George J. Pappas
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