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This paper investigates the effect of constant time delay in weakly connected multi-agent systems modeled by double integrator dynamics. A novel analytical approach is proposed to establish an upper bound on the permissible time delay that…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Layan Badran , Kiarash Aryankia , Rastko R. Selmic

We present a simple cellular automaton based model of decision making during evacuation. Evacuees have to choose between two different exit routes, resulting in a strategic decision making problem. Agents take their decisions based on…

Physics and Society · Physics 2015-06-04 Michalis Smyrnakis , Tobias Galla

This paper deals with the state estimation problem in discrete-event systems modeled with nondeterministic finite automata, partially observed via a sensor measuring unit whose measurements (reported observations) may be vitiated by a…

Information Theory · Computer Science 2020-11-04 Yuting Li , Christoforos N. Hadjicostis , Naiqi Wu , Zhiwu Li

Motivated by the problem of partisan gerrymandering, we introduce an electoral system for a representative democracy called democratic cellular voting, designed to make modern packing and cracking strategies irrelevant by allowing districts…

Physics and Society · Physics 2018-01-09 Lucius T. Schoenbaum

We present an event-triggered control strategy for stabilizing a scalar, continuous-time, time-invariant, linear system over a digital communication channel having bounded delay, and in the presence of bounded system disturbance. We propose…

Optimization and Control · Mathematics 2018-01-29 Mohammad Javad Khojasteh , Mojtaba Hedayatpour , Jorge Cortes , Massimo Franceschetti

Cellular automata are a discrete dynamical system which models massively parallel computation. Much attention is devoted to computations with small time complexity for which the parallelism may provide further possibilities. In this paper,…

Formal Languages and Automata Theory · Computer Science 2012-08-15 Anaël Grandjean , Gaétan Richard , Véronique Terrier

We introduce two time-delay models of metabolic oscillations in yeast cells. Our model tests a hypothesis that the oscillations occur as multiple pathways share a limited resource which we equate to the number of available ribosomes. We…

Dynamical Systems · Mathematics 2023-12-07 Max M. Chumley , Firas A. Khasawneh , Andreas Otto , Tomas Gedeon

An introduction to cellular automata (both deterministic and probabilistic) with examples. Definition of deterministic automata, dynamical properties, damage spreading and Lyapunov exponents; probabilistic automata and Markov processes,…

Statistical Mechanics · Physics 2007-05-23 Franco Bagnoli

For an autonomous linear time-invariant (LTI) system, a distributed observer with time-triggered periodic observations and event-triggered communication is proposed to estimate the state of the system. It is shown that the sampling period…

Systems and Control · Electrical Eng. & Systems 2023-05-08 Shimin Wang , Zhan Shu , Tongwen Chen

The searching for the stable patterns in the evolution of cellular automata is implemented using stochastic synchronization between the present structures of the system and its precedent configurations. For most of the known evolution rules…

Cellular Automata and Lattice Gases · Physics 2007-05-23 J. R. Sanchez , R. Lopez-Ruiz

We analyze the delay performance of small cell networks operating under random scheduling (RS) and round robin (RR) protocols. Based on stochastic geometry and queuing theory, we derive accurate and tractable expressions for the…

Information Theory · Computer Science 2018-05-31 Howard H. Yang , Ying Wang , Tony Q. S. Quek

When complex systems are driven to extinction by some external factor, their non-stationary dynamics can present an intermittent behaviour between relative tranquility and burst of activity whose consequences are often catastrophic. To…

Physics and Society · Physics 2018-03-21 Juan V Escobar , Isaac Pérez Castillo

Previously we showed how delay communication between globally coupled self-propelled agents causes new spatio-temporal patterns to arise when the delay coupling is fixed among all agents \cite{Forgoston08}. In this paper, we show how…

Pattern Formation and Solitons · Physics 2012-04-23 Brandon Lindley , Luis Mier-y-Teran-Romero , Ira B. Schwartz

This paper proposes an approach to addresses the control challenges posed by a fault-induced uncertainty in both the dynamics and control input effectiveness of a class of hierarchical nonlinear systems in which the high-level dynamics is…

Optimization and Control · Mathematics 2021-08-10 Sina Ameli , Olugbenga Moses Anubi

In relational event networks, the tendency for actors to interact with each other depends greatly on the past interactions between the actors in a social network. Both the quantity of past interactions and the time that elapsed since the…

Methodology · Statistics 2022-08-17 Giuseppe Arena , Joris Mulder , Roger Th. A. J. Leenders

We introduce a new class of cellular automata to model reaction-diffusion systems in a quantitatively correct way. The construction of the CA from the reaction-diffusion equation relies on a moving average procedure to implement diffusion,…

comp-gas · Physics 2016-08-14 Jörg R. Weimar , Jean-Pierre Boon

A deterministic cellular automaton rule defined on the Moore neighbourhood is studied as a model of epidemic propagation. The directed nature of the interaction between cells allows one to introduce the dependence on a disorder parameter…

Statistical Mechanics · Physics 2007-05-23 M. Bezzi , R. Livi

Collaboration between interconnected cyber-physical systems is becoming increasingly pervasive. Time-delays in communication channels between such systems are known to induce catastrophic failure modes, like high frequency oscillations in…

Systems and Control · Electrical Eng. & Systems 2021-09-23 Shankar A. Deka , Donggun Lee , Claire J. Tomlin

Phase transitions, characterized by abrupt shifts between macroscopic patterns of organization, are ubiquitous in complex systems. Despite considerable research in the physical and natural sciences, the empirical study of this phenomenon in…

Physics and Society · Physics 2023-11-15 Dan Braha

Using agent-directed simulations, we investigate fluctuations in the collective emotional states on a chat network where agents interchange messages with a fixed number of moderators and emotional Bot. To design a realistic chat system, the…

Physics and Society · Physics 2014-11-21 M. Šuvakov , B. Tadić
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