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In this paper, we propose a new robustness notion that is applicable for certifying systems' safety with respect to external disturbance signals. The proposed input-to-state safety (ISSf) notion allows us to certify systems' safety in the…

Systems and Control · Computer Science 2019-02-01 Muhammad Zakiyullah Romdlony , Bayu Jayawardhana

This paper is concerned with the optimal number of redundant allocation to $n$-component coherent systems consist of heterogeneous dependent components. We assume that the system is built of $L$ groups of different components, $L\geq 1$,…

Optimization and Control · Mathematics 2022-02-22 Maryam Kelkinnama , Majid Asadi

This paper considers the problem of robust stability for a class of uncertain quantum systems subject to unknown perturbations in the system coupling operator. A general stability result is given for a class of perturbations to the system…

Quantum Physics · Physics 2012-08-31 Ian R. Petersen , Valery Ugrinovskii , Matthew R. James

We consider systems whose lifetime is measured by the time of physical degradation of components, as well as the degree of power each component contributes to the system. The lifetimes of the components of the system are random variables.…

Probability · Mathematics 2025-01-27 Ismihan Bayramoglu

Usually, methods evaluating system reliability require engineers to quantify the reliability of each of the system components. For series and parallel systems, there are some options to handle the estimation of each component's reliability.…

Methodology · Statistics 2018-05-29 Agatha Rodrigues , Carlos Alberto Pereira , Adriano Polpo

Drawing from engineering systems and control theory, we introduce a framework to understand repository stability, which is a repository activity capacity to return to equilibrium following disturbances - such as a sudden influx of bug…

Software Engineering · Computer Science 2025-04-11 Giuseppe Destefanis , Silvia Bartolucci , Daniel Graziotin , Rumyana Neykova , Marco Ortu

Quantifying coherence is an essential endeavour for both quantum foundations and quantum technologies. Here the robustness of coherence is defined and proven a full monotone in the context of the recently introduced resource theories of…

The replication mechanism resolves some challenges with big data such as data durability, data access, and fault tolerance. Yet, replication itself gives birth to another challenge known as the consistency in distributed systems.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-12 Hesam Nejati Sharif Aldin , Hossein Deldari , Mohammad Hossein Moattar , Mostafa Razavi Ghods

Over the years, different meanings have been associated to the word consistency in the distributed systems community. While in the '80s "consistency" typically meant strong consistency, later defined also as linearizability, in recent…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-13 Paolo Viotti , Marko Vukolić

In this paper, we consider the problem of quantifying systemic redundancy in reliable systems having multiple controllers with overlapping functionality. In particular, we consider a multi-channel system with multi-controller configurations…

Dynamical Systems · Mathematics 2015-02-17 Getachew K. Befekadu , Panos J. Antsaklis

Persistence is an important characteristic of many complex systems in nature, related to how long the system remains at a certain state before changing to a different one. The study of complex systems' persistence involves different…

Dynamical Systems · Mathematics 2022-05-05 S. Salcedo-Sanz , D. Casillas-Pérez , J. Del Ser , C. Casanova-Mateo , L. Cuadra , M. Piles , G. Camps-Valls

We develop a comprehensive theory of the stable representation categories of several sequences of groups, including the classical and symmetric groups, and their relation to the unstable categories. An important component of this theory is…

Representation Theory · Mathematics 2015-06-17 Steven V Sam , Andrew Snowden

We say that an algorithm is stable if small changes in the input result in small changes in the output. This kind of algorithm stability is particularly relevant when analyzing and visualizing time-varying data. Stability in general plays…

Data Structures and Algorithms · Computer Science 2025-03-10 Wouter Meulemans , Bettina Speckmann , Kevin Verbeek , Jules Wulms

Machine-learning technologies for learning dynamical systems from data play an important role in engineering design. This research focuses on learning continuous linear models from data. Stability, a key feature of dynamic systems, is…

Machine Learning · Computer Science 2023-01-25 Pawan Goyal , Igor Pontes Duff , Peter Benner

We study the stability of coupled impedance passive regular linear systems under power-preserving interconnections. We present new conditions for strong, exponential, and non-uniform stability of the closed-loop system. We apply the…

Optimization and Control · Mathematics 2023-03-01 Lassi Paunonen

Stability and control of a non-linear system represent an important system configuration that frequently arises in practical engineering. Stability covers a vast range of systems that do not obey the superposition principle and applies to…

Systems and Control · Electrical Eng. & Systems 2022-02-04 Asifa Yousaf

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

Resilience is a rehashed concept in natural hazard management - resilience of cities to earthquakes, to floods, to fire, etc. In a word, a system is said to be resilient if there exists a strategy that can drive the system state back to…

Optimization and Control · Mathematics 2018-02-05 Michel De Lara

We consider kinetic systems and prove their stability working in weighted spaces in which the systems are symmetric. We prove stability for various explicit and implicit semi-discrete and fully discrete schemes. The applications include…

Numerical Analysis · Mathematics 2017-08-07 F. Patricia Medina , Malgorzata Peszynska

This paper considers the problem of robust stability for a class of uncertain quantum systems subject to unknown perturbations in the system Hamiltonian. Some general stability results are given for different classes of perturbations to the…

Quantum Physics · Physics 2015-06-04 Ian R. Petersen , Valery Ugrinovskii , Matthew R. James