Structure of Solutions in Problems of Controlling Clock Synchronization

Student: Zakharin Alexander

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Fundamental Informatics and Information Technologies (Bachelor)

Year of Graduation: 2016

In this work the control problem for clock synchronization model in wireless sensor networks is studied. Optimality conditions, which are obtained by applying the Pontryagin maximum principle, are analyzed. The explicit conditions for the optimality of the zero control are obtained. An algorithm for searching of optimal solutions in the control problem of clock synchronization is developed, it uses the structure of the optimal controls. A program code for Wolfram Mathematica, which allows to automate the process of finding of the required solutions, is created. Obtained results will be applied to solving modified control problem, which contains second-order synchronization errors.

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