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We study stability issue of reset and impulsive switched systems. We find time constraints (dwell time and flee time) on switching signals which stabilize a given reset switched system. For a given collection of matrices, we find an…

Dynamical Systems · Mathematics 2023-06-21 Swapnil Tripathi , Nikita Agarwal

In this paper, we mainly study the robust stability of linear continuous systems with parameter uncertainties, a more general kind of uncertainties for system matrices is considered, i.e., entries of system matrices are rational functions…

Symbolic Computation · Computer Science 2010-03-17 Xiaorong Hou , Junwei Shao

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

It is well known that there are no stable bundles of rank greater than 1 on the projective line. In this paper, our main purpose is to study the existence problem for stable coherent systems on the projective line when the number of…

Algebraic Geometry · Mathematics 2020-06-19 P. E. Newstead , Montserrat Teixidor i Bigas

Compositionality supports the manipulation of large systems by working on their components. For model-based testing, this means that large systems can be tested by modelling and testing their components: passing tests for all components…

Software Engineering · Computer Science 2025-08-01 Gijs van Cuyck , Lars van Arragon , Jan Tretmans

We analyze the operation of a switching-based detector that probes a qubit's observable that does not commute with the qubit's Hamiltonian, leading to a nontrivial interplay between the measurement and free-qubit dynamics. In order to…

Quantum Physics · Physics 2009-05-07 S. Ashhab , J. Q. You , Franco Nori

This paper concerns the reliability of a pair of coupled oscillators in response to fluctuating inputs. Reliability means that an input elicits essentially identical responses upon repeated presentations regardless of the network's initial…

Chaotic Dynamics · Physics 2007-08-23 Kevin K. Lin , Eric Shea-Brown , Lai-Sang Young

Nowadays, the consequences of failure and downtime of distributed systems have become more and more severe. As an obvious solution, these systems incorporate protection mechanisms to tolerate faults that could cause systems failures and…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-19 Andrey A. Shchurov , Radek Marik

This paper proposes a variance-based measure of importance for coherent systems with dependent and heterogeneous components. The particular cases of independent components and homogeneous components are also considered. We model the…

Applications · Statistics 2024-09-30 Antonio Arriaza , Jorge Navarro , Miguel Angel Sordo , Alfonso Suárez-Llorens

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…

Obviously, the dynamism of software reliability research has speeded up significantly in the last period, and we can state the fact that its intensity is approaching, and in some cases is ahead of the information systems hardware…

Software Engineering · Computer Science 2020-03-06 Anton Petrov , Elena Popova , Alexander Petrov

Stability is one of the most fundamental aspects regarding planetary systems. It plays an important role in our understanding on the formation channel of the planetary systems, as well as their habitability. Many approaches have been…

Earth and Planetary Astrophysics · Physics 2024-07-22 Hareesh Gautham Bhaskar , Nathaniel W. H. Moore , Jiapeng Gao , Gongjie Li , Billy Quarles

A robustness measure for incompatibility of quantum devices in the lines of the robustness of entanglement is proposed. The concept of general robustness measures is first introduced in general convex-geometric settings and these ideas are…

Quantum Physics · Physics 2015-08-19 Erkka Haapasalo

We present a possible construction of coherent states on the unit circle as configuration space. In our approach the phase space is the product Z x S^1. Because of the duality of canonical coordinates and momenta, i.e. the angular variable…

Quantum Physics · Physics 2015-05-27 G. Chadzitaskos , P. Luft , J. Tolar

We investigate phase coherent electronic transport in an open quantum system, which consists of quantum dots side-coupled to a nanowire. It is demonstrated that coherent switching can be characterized by adjusting the electronic energy. A…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Omar Valsson , Chi-Shung Tang , Vidar Gudmundsson

Hybrid systems - more precisely, their mathematical models - can exhibit behaviors, like Zeno behaviors, that are absent in purely discrete or purely continuous systems. First, we observe that, in this context, the usual definition of…

Logic in Computer Science · Computer Science 2018-09-05 Eugenio Moggi , Amin Farjudian , Adam Duracz , Walid Taha

We study interacting components and their compatibility with respect to synchronous and asynchronous composition. The behavior of components is formalized by I/O-transition systems. Synchronous composition is based on simultaneous execution…

Logic in Computer Science · Computer Science 2023-06-22 Rolf Hennicker , Michel Bidoit

We introduce a novel concept of simple loop dwell time and use it to give sufficient conditions for stability of a continuous-time linear switched system where switching between subsystems is governed by an underlying graph. We present a…

Dynamical Systems · Mathematics 2020-01-07 Nikita Agarwal

Many systems on our planet are known to shift abruptly and irreversibly from one state to another when they are forced across a "tipping point," such as mass extinctions in ecological networks, cascading failures in infrastructure systems,…

Quantitative Methods · Quantitative Biology 2022-05-23 Xueming Liu , Daqing Li , Manqing Ma , Boleslaw K. Szymanski , H Eugene Stanley , Jianxi Gao

Contrast set consistency is a robustness measurement that evaluates the rate at which a model correctly responds to all instances in a bundle of minimally different examples relying on the same knowledge. To draw additional insights, we…

Computation and Language · Computer Science 2023-10-24 Jacob K. Johnson , Ana Marasović
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