Deviated linear cyclic pursuit | Zendy

Dwaipayan Mukherjee | Zendy; Debasish Ghose | Zendy

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Deviated linear cyclic pursuit

Author(s) -

Dwaipayan Mukherjee,

Debasish Ghose

Publication year - 2015

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2015.0682

Subject(s) - set (abstract data type) , mathematics , stability (learning theory) , stability theory , control theory (sociology) , computer science , mathematical optimization , nonlinear system , physics , artificial intelligence , control (management) , quantum mechanics , machine learning , programming language

This paper analyses deviated linear cyclic pursuit in which an agent pursues its leader with an angle of deviation in both the continuous- and discrete-time domains, while admitting heterogeneous gains and deviations for the agents. Sufficient conditions for the stability of such systems, in both the domains, are presented in this paper along with the derivation of the reachable set, which is a set of points where the agents may converge asymptotically. The stability conditions are derived based on Gershgorin's theorem. Simulations validating the theoretical results presented in this paper are provided

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