An asynchronous distributed algorithm for computing a common fixed point of a family of paracontractions

A distributed algorithm is described for finding a common fixed point of a family of m > 1 nonlinear maps M i : R n → R n assuming that each map is a paracontraction. The common fixed point is asynchronously computed in real time by m agents assuming each agent i knows only M i , the current esti...

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Vydané v:2016 IEEE 55th Conference on Decision and Control (CDC) s. 2620 - 2625
Hlavní autori: Fullmer, Daniel, Ji Liu, Stephen Morse, A.
Médium: Konferenčný príspevok..
Jazyk:English
Vydavateľské údaje: IEEE 01.12.2016
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Autonomous agents
Conferences
Convergence
Distributed algorithms
Nickel
Real-time systems
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Abstract A distributed algorithm is described for finding a common fixed point of a family of m > 1 nonlinear maps M i : R n → R n assuming that each map is a paracontraction. The common fixed point is asynchronously computed in real time by m agents assuming each agent i knows only M i , the current estimates of the fixed point generated by its neighbors, and nothing more. Each agent recursively updates its estimate of the fixed point at its own event times, by utilizing estimates generated by each of its neighbors. Neighbor relations are characterized by a time-dependent directed graph N(t) whose vertices correspond to agents and whose arcs depict neighbor relations.
AbstractList A distributed algorithm is described for finding a common fixed point of a family of m > 1 nonlinear maps M i : R n → R n assuming that each map is a paracontraction. The common fixed point is asynchronously computed in real time by m agents assuming each agent i knows only M i , the current estimates of the fixed point generated by its neighbors, and nothing more. Each agent recursively updates its estimate of the fixed point at its own event times, by utilizing estimates generated by each of its neighbors. Neighbor relations are characterized by a time-dependent directed graph N(t) whose vertices correspond to agents and whose arcs depict neighbor relations.
Author Fullmer, Daniel
Ji Liu
Stephen Morse, A.
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  organization: Dept. of Electr. Eng., Yale Univ., New Haven, NY, USA
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  surname: Ji Liu
  fullname: Ji Liu
  email: jiliu@illinois.edu
  organization: Coordinated Sci. Lab., Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA
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  givenname: A.
  surname: Stephen Morse
  fullname: Stephen Morse, A.
  email: as.morse@yale.edu
  organization: Dept. of Electr. Eng., Yale Univ., New Haven, NY, USA
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Snippet A distributed algorithm is described for finding a common fixed point of a family of m > 1 nonlinear maps M i : R n → R n assuming that each map is a...
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SubjectTerms Autonomous agents
Conferences
Convergence
Distributed algorithms
Nickel
Real-time systems
Title An asynchronous distributed algorithm for computing a common fixed point of a family of paracontractions
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