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This paper considers the problem of recovering a structured signal from a relatively small number of noisy measurements with the aid of a similar signal which is known beforehand. We propose a new approach to integrate prior information…

Information Theory · Computer Science 2018-08-06 Xu Zhang , Wei Cui , Yulong Liu

Cyber resilience is the ability of a system to resist and recover from a cyber attack, thereby restoring the system's functionality. Effective design and development of a cyber resilient system requires experimental methods and tools for…

Cryptography and Security · Computer Science 2024-12-31 Michael J. Weisman , Alexander Kott , Jason E. Ellis , Brian J. Murphy , Travis W. Parker , Sidney Smith , Joachim Vandekerckhove

We derive a tight bound between the quality of estimating a quantum state by measurement and the success probability of undoing the measurement in arbitrary dimensional systems, which completely describes the tradeoff relation between the…

Quantum Physics · Physics 2012-10-12 Yong Wook Cheong , Seung-Woo Lee

This paper addresses the problem of distributed resilient state estimation and control for linear time-invariant systems in the presence of malicious false data injection sensor attacks and bounded noise. We consider a system operator…

Systems and Control · Electrical Eng. & Systems 2025-07-17 Takumi Shinohara , Karl H. Johansson , Henrik Sandberg

In this paper we study the recovery conditions of weighted $l_{1}$ minimization for signal reconstruction from incomplete linear measurements when partial prior support information is available. We obtain that a high order RIP condition can…

Information Theory · Computer Science 2016-03-14 Wengu Chen , Yaling Li

In this paper, the sufficient condition in terms of the RIC and ROC for the stable and robust recovery of signals in both noiseless and noisy settings was established via weighted $l_{1}$ minimization when there is partial prior information…

Information Theory · Computer Science 2016-03-15 Wengu Chen , Yaling Li

This paper presents a dynamic state observer design for discrete-time linear time-varying systems that robustly achieves equalized recovery despite delayed or missing observations, where the set of all temporal patterns for the missing or…

Systems and Control · Electrical Eng. & Systems 2021-01-12 Syed M. Hassaan , Qiang Shen , Sze Zheng Yong

The importance of state estimation in fluid mechanics is well-established; it is required for accomplishing several tasks including design/optimization, active control, and future state prediction. A common tactic in this regards is to rely…

Fluid Dynamics · Physics 2022-03-14 Yash Kumar , Pranav Bahl , Souvik Chakraborty

The Compressive Sensing framework maintains relevance even when the available measurements are subject to extreme quantization, as is exemplified by the so-called one-bit compressed sensing framework which aims to recover a signal from…

Numerical Analysis · Mathematics 2015-06-03 Phillip North , Deanna Needell

Robust data-driven controllers typically rely on datasets from previous experiments, which embed information on the variability of the system parameters across past operational conditions. Complementarily, data collected online can…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Ignacio Sanchez , Filiberto Fele , Daniel Limon

The increase in network connectivity has also resulted in several high-profile attacks on cyber-physical systems. An attacker that manages to access a local network could remotely affect control performance by tampering with sensor…

Optimization and Control · Mathematics 2018-01-15 Ilija Jovanov , Miroslav Pajic

This paper proposes a resilient state estimator for LTI discrete-time systems. The dynamic equation of the system is assumed to be affected by a bounded process noise. As to the available measurements, they are potentially corrupted by a…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Alexandre Kircher , Laurent Bako , Eric Blanco , Mohamed Benallouch

In recent years, computational power and data availability breakthroughs have revolutionized our ability to analyze complex physical systems through the inverse problem approach. Data-driven techniques like system identification and machine…

Systems and Control · Electrical Eng. & Systems 2026-05-04 Sriram Narayanan , Mohamed Naveed Gul Mohamed , Ishan Paranjape , Indranil Nayak , Suman Chakravorty , Mrinal Kumar

We develop a data-driven framework for assessing the resilience of linear time-invariant systems against malicious false-data-injection sensor attacks. Leveraging sparse observability, we propose data-driven resilience metrics and derive…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Takumi Shinohara , Karl Henrik Johansson , Henrik Sandberg

The need for tomographic reconstruction from sparse measurements arises when the measurement process is potentially harmful, needs to be rapid, or is uneconomical. In such cases, prior information from previous longitudinal scans of the…

Computer Vision and Pattern Recognition · Computer Science 2018-12-31 Preeti Gopal , Sharat Chandran , Imants Svalbe , Ajit Rajwade

We consider the problem of signal reconstruction for a system under sparse signal corruption by a malicious agent. The reconstruction problem follows the standard error coding problem that has been studied extensively in the literature. We…

Optimization and Control · Mathematics 2023-04-28 Yu Zheng , Olugbenga Moses Anubi , Lalit Mestha , Hema Achanta

Resilience broadly describes a quality of withstanding perturbations. Measures of system resilience have gathered increasing attention across applied disciplines, yet existing metrics often lack computational accessibility and…

Dynamical Systems · Mathematics 2026-02-09 Andreas Morr , Christian Kuehn , George Datseris

Resiliency has garnered attention in the management of critical infrastructure as a metric of system performance, but there are significant roadblocks to its implementation in a realistic decision-making framework. Contrasted to risk and…

Systems and Control · Electrical Eng. & Systems 2026-01-08 Vincent P. Paglioni , Graeme Troxell , Aaron Brown , Steve Conrad , Mazdak Arabi

A cyber-physical system (CPS) is a tight coupling of computational resources, network communication, and physical processes. They are composed of a set of networked components, including sensors, actuators, control processing units, and…

Systems and Control · Electrical Eng. & Systems 2019-11-11 Shamila Nateghi , Yuri Shtessel , Christopher Edwards , Jean-Pierre Barbot

This paper considers the state reconstruction problem for discrete-time cyber-physical systems when some of the sensors can be arbitrarily corrupted by malicious attacks where the attacked sensors belong to an unknown set. We first prove…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Wei Liu