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pro vyhledávání: '"Anderson, Brian D."'
This paper studies the distributed mode consensus problem in a multi-agent system, in which the agents each possess a certain attribute and they aim to agree upon the mode (the most frequent attribute owned by the agents) via distributed computation.
Externí odkaz:
http://arxiv.org/abs/2403.00221
This study introduces an approach to obtain a neighboring extremal optimal control (NEOC) solution for a closed-loop optimal control problem, applicable to a wide array of nonlinear systems and not necessarily quadratic performance indices. The appro
Externí odkaz:
http://arxiv.org/abs/2312.04733
The paper deals with the spread of two competing viruses over a network of population nodes, accounting for pairwise interactions and higher-order interactions (HOI) within and between the population nodes. We study the competitive networked bivirus
Externí odkaz:
http://arxiv.org/abs/2309.14230
This paper considers the classical Susceptible--Infected--Susceptible (SIS) network epidemic model, which describes a disease spreading through $n$ nodes, with the network links governing the possible transmission pathways of the disease between node
Externí odkaz:
http://arxiv.org/abs/2305.16658
Publikováno v:
SIAM Journal of Applied Dynamical Systems, 23(2): pp 1372-1410, 2024
This paper studies the endemic behavior of a multi-competitive networked susceptible-infected-susceptible (SIS) model. Specifically, the paper deals with three competing virus systems (i.e., tri-virus systems). First, we show that a tri-virus system,
Externí odkaz:
http://arxiv.org/abs/2303.16457
This paper investigates the problem of securing exponentially fast consensus (exponential consensus for short) for identical agents with finite-dimensional linear system dynamics over dynamic network topology. Our aim is to find the weakest possible
Externí odkaz:
http://arxiv.org/abs/2303.00155
This note presents several conditions to characterize real matrix similarity between a Hurwitz matrix (and then more generally, a real square matrix) and a diagonal dominant matrix.
Externí odkaz:
http://arxiv.org/abs/2302.11678
In the vector-field guided path-following problem, a sufficiently smooth vector field is designed such that its integral curves converge to and move along a one-dimensional geometric desired path. The existence of singular points where the vector fie
Externí odkaz:
http://arxiv.org/abs/2301.12213
Equilibria analysis of a networked bivirus epidemic model using Poincar\'e--Hopf and Manifold Theory
Autor:
Anderson, Brian D. O., Ye, Mengbin
Publikováno v:
SIAM Journal of Applied Dynamical Systems, 22 (4): pp. 2856 - 2889, 2023
This paper considers a deterministic Susceptible-Infected-Susceptible (SIS) networked bivirus epidemic model (termed the bivirus model for short), in which two competing viruses spread through a set of populations (nodes) connected by two graphs, whi
Externí odkaz:
http://arxiv.org/abs/2210.11044