Abstract
A leaderless consensus control protocol for double integrators with multiple, rationally-independent time delays is studied in this paper from two intriguing and novel perspectives. First, the crucial stability analysis of time delayed system is performed using a recent technique known as the Cluster Treatment of Characteristic Roots (CTCR). CTCR method is pursued after a block-diagonalization (mode decoupling) transformation on the system. This treatment produces a unique stability outlook for the dynamics in the space of the delays. Furthermore they are non-conservative and exhaustive. Secondly, a much different stability display is created using the Spectral Delay Space as an overture to the CTCR for the determination of the needed potential stability crossing (switching) hypersurfaces in the delay space. Examples are provided to display the effectiveness of this new stability analysis mechanism.
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Cepeda-Gomez, R., Olgac, N. (2014). Second-Order Leaderless Consensus Protocols with Multiple Communication and Input Delays from Stability Perspective. In: VyhlÃdal, T., Lafay, JF., Sipahi, R. (eds) Delay Systems. Advances in Delays and Dynamics, vol 1. Springer, Cham. https://doi.org/10.1007/978-3-319-01695-5_9
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DOI: https://doi.org/10.1007/978-3-319-01695-5_9
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