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This paper deals with the existence of solutions for an elliptic system of partial differential equations. The solution method is based on the sub- and super-solutions approach. An application to a stochastic control problem is presented.…

Analysis of PDEs · Mathematics 2020-01-01 Dragos-Patru Covei , Traian A. Pirvu

A novel control design approach for general nonlinear systems is presented in this paper. The approach is based on the identification of a polynomial model of the system to control and on the on-line inversion of this model. An efficient…

Systems and Control · Computer Science 2014-07-07 C. Novara , M. Milanese

Optimal quantum control theory carries a huge promise for quantum technology. Its experimental application, however, is often hindered by imprecise knowledge of the its input variables, the quantum system's parameters. We show how to…

Quantum Physics · Physics 2014-06-25 D. J. Egger , F. K. Wilhelm

This paper explains some fundamental ideas of {\em feedback} control of quantum systems through the study of a relatively simple two-level system coupled to optical field channels. The model for this system includes both continuous and…

Quantum Physics · Physics 2014-06-23 Matthew James

This paper focuses on the use of unknown input observers for detection and isolation of actuator and effector faults with control reconfiguration in overactuated systems. The control allocation actively uses input redundancy in order to…

Optimization and Control · Mathematics 2013-06-25 Andrea Cristofaro , Tor Arne Johansen

The aim of this notes is to give a concise introduction to control theory for systems governed by stochastic partial differential equations. We shall mainly focus on controllability and optimal control problems for these systems. For the…

Optimization and Control · Mathematics 2021-01-27 Qi Lü , Xu Zhang

When testing many hypotheses, often we do not have strong expectations about the directions of the effects. In some situations however, the alternative hypotheses are that the parameters lie in a certain direction or interval, and it is in…

Methodology · Statistics 2026-03-02 Jesse Hemerik

The present paper studies a feedback regulation problem, which may be interpreted as an adaptive control problem, but has not yet been studied in the control literature. The problem, which arises in at least two different biological…

Optimization and Control · Mathematics 2007-05-23 Luc Moreau , Eduardo Sontag , Murat Arcak

We give an overview of publications on partial actions and related concepts, paying main attention to some recent developments.

Rings and Algebras · Mathematics 2018-02-26 Mikhailo Dokuchaev

Partial control is a technique used in systems with transient chaos. The aim of this control method is to avoid the escape of the orbits from a region Q of the phase space where the transient chaotic dynamics takes place. This technique is…

Dynamical Systems · Mathematics 2021-09-06 Rubén Capeáns , Miguel A. F. Sanjuán

This paper extends the theory of false discovery rates (FDR) pioneered by Benjamini and Hochberg [J. Roy. Statist. Soc. Ser. B 57 (1995) 289-300]. We develop a framework in which the False Discovery Proportion (FDP)--the number of false…

Statistics Theory · Mathematics 2007-06-13 Christopher Genovese , Larry Wasserman

This paper presents a new approach to Model Predictive Control for environments where essential, discrete variables are partially observed. Under this assumption, the belief state is a probability distribution over a finite number of…

Robotics · Computer Science 2023-02-02 Camille Phiquepal , Marc Toussaint

This note is addressed to giving a short introduction to control theory of stochastic systems, governed by stochastic differential equations in both finite and infinite dimensions. We will mainly explain the new phenomenon and difficulties…

Optimization and Control · Mathematics 2016-12-09 Qi Lu , Xu Zhang

This work studies the null controllability of a system of coupled parabolic PDEs. In particular, our work specializes to an important subclass of these control problems which are coupled by first and zero-order couplings and are,…

Optimization and Control · Mathematics 2018-10-17 Drew Steeves , Bahman Gharesifard , Abdol-Reza Mansouri

In this article we develop a method for performing post hoc inference of the False Discovery Proportion (FDP) over multiple contrasts of interest in the multivariate linear model. To do so we use the bootstrap to simulate from the…

Methodology · Statistics 2022-09-21 Samuel Davenport , Bertrand Thirion , Pierre Neuvial

The main objective of this paper is to show that two asymptotically stable steady states which belong to an analytic path of asymptotically stable steady states can be gradually transferred one to the other by successive changes of the…

Dynamical Systems · Mathematics 2007-05-23 E. Kaslik , A. M. Balint , A. Grigis , St. Balint

We present a representation of partial confidence in belief and preference that is consistent with the tenets of decision-theory. The fundamental insight underlying the representation is that if a person is not completely confident in a…

Artificial Intelligence · Computer Science 2013-04-11 David Heckerman , Holly B. Jimison

We discuss the (twisted) weak positivity theorem. We also treat some applications.

Algebraic Geometry · Mathematics 2015-07-03 Osamu Fujino

Deep Learning methods are renowned for their performances, yet their lack of interpretability prevents them from high-stakes contexts. Recent model agnostic methods address this problem by providing post-hoc interpretability methods by…

Machine Learning · Computer Science 2021-11-30 Marco Repetto

This paper introduces epistemic graphs as a generalization of the epistemic approach to probabilistic argumentation. In these graphs, an argument can be believed or disbelieved up to a given degree, thus providing a more fine--grained…

Artificial Intelligence · Computer Science 2020-01-15 Anthony Hunter , Sylwia Polberg , Matthias Thimm