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We derive fundamental sample complexity bounds for recovering sparse and structured signals for linear and nonlinear observation models including sparse regression, group testing, multivariate regression and problems with missing features.…

信息论 · 计算机科学 2017-02-17 Cem Aksoylar , George Atia , Venkatesh Saligrama

We propose a control approach for a class of nonlinear mechanical systems to stabilize the system under study while ensuring that the oscillations of the transient response are reduced. The approach is twofold: (i) we apply our technique…

系统与控制 · 电气工程与系统科学 2022-06-22 Carmen Chan-Zheng , Pablo Borja , Jacquelien Scherpen

Control-affine output systems generically present observability singularities, i.e. inputs that make the system unobservable. This proves to be a difficulty in the context of output feedback stabilization, where this issue is usually…

最优化与控制 · 数学 2021-01-18 Lucas Brivadis , Jean-Paul Gauthier , Ludovic Sacchelli , Ulysse Serres

AI training datasets will inevitably contain AI-generated examples, leading to ``feedback'' in which the output of one model impacts the training of another. It is known that such iterative feedback can lead to model collapse, yet the…

机器学习 · 计算机科学 2026-02-24 Vibhas Kumar Vats , David J. Crandall , Samuel Goree

The idea of end-to-end learning of communications systems through neural network -based autoencoders has the shortcoming that it requires a differentiable channel model. We present in this paper a novel learning algorithm which alleviates…

信息论 · 计算机科学 2018-12-06 Fayçal Ait Aoudia , Jakob Hoydis

We consider a nonlinear discrete stochastic control system, and our goal is to design a feedback control policy in order to lead the system to a prespecified state. We adopt a stochastic approximation viewpoint of this problem. It is known…

最优化与控制 · 数学 2025-09-03 Hoang Huy Nguyen , Siva Theja Maguluri

The concept of passivity is central to analyze circuits as interconnections of passive components. We illustrate that when used differentially, the same concept leads to an interconnection theory for electrical circuits that switch and…

系统与控制 · 计算机科学 2018-04-13 Felix A. Miranda-Villatoro , Fulvio Forni , Rodolphe Sepulchre

Control laws for continuous-time dynamical systems are most often implemented via digital controllers using a sample-and-hold technique. Numerical discretization of the continuous system is an integral part of subsequent analysis. Feedback…

系统与控制 · 电气工程与系统科学 2023-09-28 Ashutosh Jindal , Ravi Banavar , David Martin Diego

We propose a framework for inversion-based estimation of certain categories of faults in discrete-time linear systems. The fault signal, as an unknown input, is reconstructed from its projections onto two subspaces. One projection is…

系统与控制 · 计算机科学 2019-02-26 Esmaeil Naderi , Khashayar Khorasani

This thesis considers sequential decision problems, where the loss/reward incurred by selecting an action may not be inferred from observed feedback. A major part of this thesis focuses on the unsupervised sequential selection problem,…

机器学习 · 计算机科学 2022-12-23 Arun Verma

This paper deals with the phase noise affecting communication systems, where local oscillators are employed to obtain reference signals for carrier and timing synchronizations. The most common discrete-time phase noise channel model is…

信息论 · 计算机科学 2024-06-21 Amina Piemontese , Giulio Colavolpe , Thomas Eriksson

Classical sufficient conditions for ensuring the robust stability of a dynamical system in feedback with a nonlinearity include passivity, small gain, circle, and conicity theorems. We present a generalized version of these results for…

最优化与控制 · 数学 2022-11-15 Saman Cyrus , Laurent Lessard

In this note we address the problem of indirect adaptive (regulation or tracking) control of nonlinear, input affine dissipative systems. It is assumed that the supply rate, the storage and the internal dissipation functions may be…

系统与控制 · 电气工程与系统科学 2022-01-19 Romeo Ortega , Rafael Cisneros , Lei Wang , Arjan van der Schaft

We consider a system of particles undergoing correlated diffusion with elastic boundary conditions on the half-line. By taking the large particle limit we establish existence and uniqueness for the limiting empirical measure valued process…

概率论 · 数学 2022-10-19 Ben Hambly , Julian Meier , Andreas Sojmark

Piecewise affine (PWA) systems are widely applied in many practical cases such as the control of nonlinear systems and hybrid dynamics. However, most of the existing PWA control methods have poor scalability with respect to the number of…

系统与控制 · 电气工程与系统科学 2022-03-07 Zihao Song , Vince Kurtz , Shirantha Welikala , Panos J. Antsaklis , Hai Lin

The problem of suboptimality under bounded disturbances for the adaptive systems based on speed-graadient approach is discussed. A formulation of the estimated optimality of nonlinear nonlinearly parametrized adaptive control systems is…

最优化与控制 · 数学 2025-03-27 Alexander Fradkov

In this paper, we address the problem of stabilization in continuous time linear dynamical systems using state feedback when compressive sampling techniques are used for state measurement and reconstruction. In [5], we had introduced the…

最优化与控制 · 数学 2011-10-18 Kang Kang , Sourabh Bhattacharya , Tamer Basar

The stationary states of a microlaser are related to the decaying quasibound states of the corresponding passive cavity. These are interpreted classically as originating from sequential escape attempts of an ensemble of rays obeying a…

光学 · 物理学 2007-05-23 M. Hentschel , J. U. Nockel

In this paper, we investigate the model reference adaptive control approach for uncertain piecewise affine systems with performance guarantees. The proposed approach ensures the error metric, defined as the weighted Euclidean norm of the…

系统与控制 · 电气工程与系统科学 2022-01-21 Tong Liu , Martin Buss

We consider the problem of estimating the sparse time-varying parameter vectors of a point process model in an online fashion, where the observations and inputs respectively consist of binary and continuous time series. We construct a novel…

神经与进化计算 · 计算机科学 2016-04-20 Alireza Sheikhattar , Jonathan B. Fritz , Shihab A. Shamma , Behtash Babadi