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Regular version of the site

Book chapter

Singular extremals in control problems for wireless sensor networks

P. 461-474.

Power consumption, clock synchronization and optimization are very popular topics an analysis of wireless sensor networks. In the present talk we consider a mathematical model related with large scale networks which nodes are equipped with noisy non-perfect clocks. The task of optimal clock synchronization in such networks is reduced to the classical control problem. Its functional is based on the trade-off between energy consumption and mean-square synchronization error. This control problem demonstrates surprisingly deep connections with the theory of singular optimal solutions.  

In book

ISAST: International Society for the Advancement of Science and Technology, 2015.