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Resilient systems are able to recover quickly and easily from disturbed system states that might result from hazardous events or malicious attacks. In this paper a novel resilience metric for linear time invariant systems is proposed: the…

Systems and Control · Electrical Eng. & Systems 2021-08-23 Johannes Börner , Florian Steinke

Controllability and observability have long been recognized as fundamental structural properties of dynamical systems, but have recently seen renewed interest in the context of large, complex networks of dynamical systems. A basic problem…

Optimization and Control · Mathematics 2016-11-18 Tyler H. Summers , Fabrizio L. Cortesi , John Lygeros

Network robustness is a measure a network's ability to survive adversarial attacks. But not all parts of a network are equal. K-cores, which are dense subgraphs, are known to capture some of the key properties of many real-life networks.…

Social and Information Networks · Computer Science 2020-12-21 Palash Dey , Suman Kalyan Maity , Sourav Medya , Arlei Silva

In this paper, we present a collection of results on the observability of quantum mechanical systems, in the case the output is the result of a discrete nonselective measurement. By defining an effective observable we extend previous…

Quantum Physics · Physics 2007-05-23 D. D'Alessandro , R. Romano

This paper studies the robustness of large-scale interconnected systems with respect to external disturbances, focussing on their scalability properties. Specifically, a notion of scalability is introduced that asks for these robustness…

Optimization and Control · Mathematics 2020-05-14 Steffi Knorn , Bart Besselink

Assume n wireless mobile sensors are initially dispersed in an ad hoc manner in a rectangular region. They are required to move to final locations so that they can detect any intruder crossing the region in a direction parallel to the sides…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-26 Stefan Dobrev , Evangelos Kranakis , Danny Krizanc , Manuel Lafond , Jan Manuch , Lata Narayanan , Jaroslav Opatrny , Ladislav Stacho

In this paper we prove the existence of a fundamental trade-off between accuracy and robustness in perception-based control, where control decisions rely solely on data-driven, and often incompletely trained, perception maps. In particular,…

Optimization and Control · Mathematics 2020-03-18 Abed AlRahman Al Makdah , Vaibhav Katewa , Fabio Pasqualetti

Perception is a critical component of high-integrity applications of robotics and autonomous systems, such as self-driving cars. In these applications, failure of perception systems may put human life at risk, and a broad adoption of these…

Robotics · Computer Science 2020-11-17 Pasquale Antonante , David I. Spivak , Luca Carlone

The study of adversarial robustness has so far largely focused on perturbations bound in p-norms. However, state-of-the-art models turn out to be also vulnerable to other, more natural classes of perturbations such as translations and…

Machine Learning · Computer Science 2019-09-17 Logan Engstrom , Brandon Tran , Dimitris Tsipras , Ludwig Schmidt , Aleksander Madry

In this paper, we address a collection of state space reachability problems, for linear time-invariant systems, using a minimal number of actuators. In particular, we design a zero-one diagonal input matrix B, with a minimal number of…

Systems and Control · Computer Science 2017-08-17 Vasileios Tzoumas , Ali Jadbabaie , George J. Pappas

Control systems can show robustness to many events, like disturbances and model inaccuracies. It is natural to speculate that they are also robust to sporadic deadline misses when implemented as digital tasks on an embedded platform. This…

Optimization and Control · Mathematics 2022-08-31 Nils Vreman , Paolo Pazzaglia , Jie Wang , Victor Magron , Martina Maggio

In this paper, we present Robust Model Predictive Control (MPC) problems with adjustable uncertainty sets. In contrast to standard Robust MPC problems with known uncertainty sets, we treat the uncertainty sets in our problems as additional…

Optimization and Control · Mathematics 2018-09-21 Yeojun Kim , Xiaojing Zhang , Jacopo Guanetti , Francesco Borrelli

Sensor selection is critical for state estimation, control and monitoring of nonlinear processes. However, evaluating the performance of each possible combination of $m$ out of $n$ sensors is impractical unless $m$ and $n$ are small. In…

Systems and Control · Electrical Eng. & Systems 2022-08-02 Siyu Liu , Xunyuan Yin , Zhichao Pan , Jinfeng Liu

The problem of exact observability is analyzed for a wide class of neutral type systems by an infinite dimensional approach. The duality with the exact controllabil-ity problem is the main tool. It is based on an explicit expression of a…

Optimization and Control · Mathematics 2015-12-29 Rabah Rabah , Grigory Sklyar

Analyzing data from dynamical systems often begins with creating a reconstruction of the trajectory based on one or more variables, but not all variables are suitable for reconstructing the trajectory. The concept of nonlinear observability…

Chaotic Dynamics · Physics 2018-10-25 Thomas L. Carroll

Robustness is a correctness notion for concurrent programs running under relaxed consistency models. The task is to check that the relaxed behavior coincides (up to traces) with sequential consistency (SC). Although computationally simple…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-16 Egor Derevenetc , Roland Meyer , Sebastian Schweizer

A joint characterisation of the controllability and observability of a particular kind of discrete system has been developed. The key idea of the procedure can be reduced to a correct choice of the sampling sequence. This freedom, owing to…

Dynamical Systems · Mathematics 2010-06-14 Amparo Fúster-Sabater , J. M. Guillén

We study the problem of robust performance of quantum systems under structured uncertainties. A specific feature of closed (Hamiltonian) quantum systems is that their poles lie on the imaginary axis and that neither a coherent controller…

Quantum Physics · Physics 2021-10-12 S G Schirmer , F C Langbein , C A Weidner , E A Jonckheere

We consider the problem of stabilization of a linear system, under state and control constraints, and subject to bounded disturbances and unknown parameters in the state matrix. First, using a simple least square solution and available…

Systems and Control · Electrical Eng. & Systems 2020-07-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

Designing learning algorithms that are resistant to perturbations of the underlying data distribution is a problem of wide practical and theoretical importance. We present a general approach to this problem focusing on unsupervised…

Machine Learning · Computer Science 2021-02-22 Andreas Maurer , Daniela A. Parletta , Andrea Paudice , Massimiliano Pontil
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