Published In

IEEE Transactions on Control of Network Systems

Document Type

Post-Print

Publication Date

1-24-2021

Abstract

In this paper, we give necessary conditions for stability of coupled autonomous vehicles in R. We focus on linear arrays with decentralized vehicles, where each vehicle interacts with only a few of its neighbors. We obtain explicit expressions for necessary conditions for stability in the cases that a system consists of a periodic arrangement of two or three different types of vehicles, i.e. configurations as follows: 2-1-2-1 or 3-2-1-3-2-1. Previous literature indicated that the (necessary) condition for stability in the case of a single vehicle type (1-1-1) held that the first moment of certain coefficients of the interactions between vehicles has to be zero. Here, we show that that does not generalize. Instead, the (necessary) condition in the cases considered is that the first moment plus a nonlinear correction term must be zero.

Rights

© Copyright 2021 IEEE.

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DOI

10.1109/TCNS.2021.3052308

Persistent Identifier

https://archives.pdx.edu/ds/psu/35156

Publisher

IEEE

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