Prescribed-Time Event-Triggered Control for Matrix-Scaled Networks

Fuente: arXiv
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Autores principales: Sunny, K. P., Warier, Rakesh R.
Formato: Preprint
Publicado: 2025
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author Sunny, K. P.
Warier, Rakesh R.
author_facet Sunny, K. P.
Warier, Rakesh R.
contents This article proposes a distributed control method for matrix-scaled multi-agent networks aimed at achieving convergence within a user-defined time frame. The control law of each individual agent relies only on information from neighboring agents and is updated at discrete intervals determined by state-dependent triggering functions, reducing the frequency of agent interactions. To this end, first, the controller is augmented with a time-varying gain. Then, the dynamics of the closed-loop system over the finite-time interval is transformed into an infinite-time frame using time scaling. Lyapunov-based analysis is employed to derive suitable triggering conditions that guarantee the asymptotic convergence of the time-transformed system, thereby ensuring the prescribed-time convergence of the original system.
format Preprint
id arxiv_https___arxiv_org_abs_2509_07703
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Prescribed-Time Event-Triggered Control for Matrix-Scaled Networks
Sunny, K. P.
Warier, Rakesh R.
Systems and Control
This article proposes a distributed control method for matrix-scaled multi-agent networks aimed at achieving convergence within a user-defined time frame. The control law of each individual agent relies only on information from neighboring agents and is updated at discrete intervals determined by state-dependent triggering functions, reducing the frequency of agent interactions. To this end, first, the controller is augmented with a time-varying gain. Then, the dynamics of the closed-loop system over the finite-time interval is transformed into an infinite-time frame using time scaling. Lyapunov-based analysis is employed to derive suitable triggering conditions that guarantee the asymptotic convergence of the time-transformed system, thereby ensuring the prescribed-time convergence of the original system.
title Prescribed-Time Event-Triggered Control for Matrix-Scaled Networks
topic Systems and Control
url https://arxiv.org/abs/2509.07703