We investigate the effect of turning delays on the behaviour of groups of differential wheeled robots andshow that the group-level behaviour can be described by a transport equation with a suitably incorporateddelay. The results of our mathematical analysis are supported by numerical simulations and experimentswith E-Puck robots. The experimental quantity we compare to our revised model is the mean time forrobots to find the target area in an unknown environment. The transport equation with delay better predicts the mean time to find the target than the standard transport equation without delay.
|Number of pages||21|
|Journal||IMA Journal of Applied Mathematics|
|Early online date||31 Mar 2015|
|Publication status||Published - Oct 2015|
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- Department of Mathematical Sciences - Senior Lecturer
- EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa)
- Centre for Mathematical Biology - Co-Director
- Institute for Mathematical Innovation (IMI)
Person: Research & Teaching