Intelligent Distributed Systems
Technical Report,01 Aug 2016,31 Jul 2019
Yale University New Haven United States
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We have invented a distributed algorithm for finding a common fixed point of a family of suitably defined nonlinear functions mapping a finite dimensional space into itself. Necessary and sufficient conditions for convergence have been derived and several generalizations have been developed. The utility of these findings have been demonstrated by noting their applicability to distributed optimization. We have developed algorithms for enabling a networked family of autonomous agents to estimate the state of an unforced linear system. All of the algorithms exhibit exponential convergence at pre-assigned rates and some are able to function correctly in the face of changing communications graphs.
- Numerical Mathematics