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In this paper, stability analysis of time delay systems is considered based on decomposition of the systems to subsystems. The decomposition process needs matrices of these systems to be simultaneously block triangularize. We show that a…

Optimization and Control · Mathematics 2016-11-29 Mohammad Mousa-Abadian , Sayed Hodjatollah Momeni-Masuleh , Mohammad Haeri

We introduce a new definition of $\pi$-flatness for linear differential delay systems with time-varying coefficients. We characterize $\pi$- and $\pi$-0-flat outputs and provide an algorithm to efficiently compute such outputs. We present…

Optimization and Control · Mathematics 2014-09-30 F. Antritter , F. Cazaurang , J. Lévine , J. Middeke

We give a linear-time algorithm that checks for isomorphism between two 0-1 matrices that obey the circular-ones property. This algorithm leads to linear-time isomorphism algorithms for related graph classes, including Helly circular-arc…

Data Structures and Algorithms · Computer Science 2013-09-18 Andrew R. Curtis , Min Chih Lin , Ross M. McConnell , Yahav Nussbaum , Francisco J. Soulignac , Jeremy P. Spinrad , Jayme L. Szwarcfiter

Motivated by novel results in the theory of network synchronization, we analyze the effects of nonzero time delays in stochastic synchronization problems with linear couplings in an arbitrary network. We determine {\it analytically} the…

Cellular Automata and Lattice Gases · Physics 2015-05-19 Shahar Hod

A clock synchronizing circuit for repeaterless low swing interconnects is presented in this paper. The circuit uses a delay locked loop (DLL) to generate multiple phases of the clock, of which the one closest to the center of the eye is…

Hardware Architecture · Computer Science 2015-10-15 Naveen Kadayinti , Maryam Shojaei Baghini , Dinesh K. Sharma

A unified approach for analyzing synchronization in coupled systems of autonomous differential equations is presented in this work. Through a careful analysis of the variational equation of the coupled system we establish a sufficient…

Adaptation and Self-Organizing Systems · Physics 2015-05-19 Georgi S. Medvedev

Delay tomography has so far burdened source and receiver measurement nodes in a network with two requirements such as path establishment and clock synchronization between them. In this letter, we focus on the clock synchronization problem…

Networking and Internet Architecture · Computer Science 2014-02-24 Kensuke Nakanishi , Shinsuke Hara , Takahiro Matsuda , Kenichi Takizawa , Fumie Ono , Ryu Miura

Coupled oscillators with time-delayed network interactions are critical to understand synchronization phenomena in many physical systems. Phase reductions to finite-dimensional phase oscillator networks allow for their explicit analysis.…

Dynamical Systems · Mathematics 2024-04-18 Christian Bick , Bob Rink , Babette A. J. de Wolff

In this work, a classical problem of the digital sequence design, or more precisely, finding binary sequences with optimal peak sidelobe level (PSL), is revisited. By combining some of our previous works, together with some mathematical…

Signal Processing · Electrical Eng. & Systems 2021-04-22 Miroslav Dimitrov , Tsonka Baitcheva , Nikolay Nikolov

A temporal graph is a sequence of graphs (called layers) over the same vertex set -- describing a graph topology which is subject to discrete changes over time. A $\Delta$-temporal matching $M$ is a set of time edges $(e,t)$ (an edge $e$…

Data Structures and Algorithms · Computer Science 2021-04-26 Philipp Zschoche

We consider the problem of scheduling $n$ precedence-constrained jobs on $m$ uniformly-related machines in the presence of an arbitrary, fixed communication delay $\rho$. We consider a model that allows job duplication, i.e. processing of…

Data Structures and Algorithms · Computer Science 2020-04-24 Biswaroop Maiti , Rajmohan Rajaraman , David Stalfa , Zoya Svitkina , Aravindan Vijayaraghavan

In this work, the synchronization problem of a master-slave system of autonomous ordinary differential equations (ODEs) is considered. Here, the systems are, chaotic with a nonlinearity represented by a piecewise linear function,…

Chaotic Dynamics · Physics 2021-12-16 J. Telenchana , A. Acosta , P. Garcia

An output-polynomial algorithm for the listing of minimal dominating sets in graphs is a challenging open problem and is known to be equivalent to the well-known Transversal problem which asks for an output-polynomial algorithm for listing…

Data Structures and Algorithms · Computer Science 2014-07-09 Mamadou Moustapha Kanté , Vincent Limouzy , Arnaud Mary , Lhouari Nourine , Takeaki Uno

In modern computer systems, jobs are divided into short tasks and executed in parallel. Empirical observations in practical systems suggest that the task service times are highly random and the job service time is bottlenecked by the…

Performance · Computer Science 2017-02-08 Yin Sun , C. Emre Koksal , Ness B. Shroff

In this paper a new distributed asynchronous algorithm is proposed for time synchronization in networks with random communication delays, measurement noise and communication dropouts. Three different types of the drift correction algorithm…

Systems and Control · Computer Science 2018-02-05 Milos S. Stankovic , Srdjan S. Stankovic , Karl Henrik Johansson

We review our recent work on the synchronization of a network of delay-coupled maps, focusing on the interplay of the network topology and the delay times that take into account the finite velocity of propagation of interactions. We assume…

Chaotic Dynamics · Physics 2009-11-13 Arturo C. Martí , Marcelo Ponce , Cristina Masoller

We consider the effect of asymmetric temporal delays in a system of two coupled Hopfield neurons. For couplings of opposite signs, a limit cycle emerges via a supercritical Hopf bifurcation when the sum of the delays reaches a critical…

Biological Physics · Physics 2011-11-10 Sebastian F. Brandt , Axel Pelster , Ralf Wessel

Chaos synchronization may arise in networks of nonlinear units with delayed couplings. We study complete and sublattice synchronization generated by resonance of two large time delays with a specific ratio. As it is known for single delay…

Chaotic Dynamics · Physics 2016-02-18 Manuel Jimenez Martin , Otti D'Huys , Laura Lauerbach , Elka Korutcheva , Wolfgang Kinzel

We study the local complete synchronization of discrete-time dynamical networks with time-varying couplings. Our conditions for the temporal variation of the couplings are rather general and include both variations in the network structure…

Dynamical Systems · Mathematics 2008-12-16 Wenlian Lu , Fatihcan M. Atay , Jürgen Jost

In-phase synchronization is a special case of synchronous behavior when coupled oscillators have the same phases for any time moments. Such behavior appears naturally for nearly identical coupled limit-cycle oscillators when the coupling…

Adaptation and Self-Organizing Systems · Physics 2019-09-24 Viktor Novičenko , Irmantas Ratas
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