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Глава

Singular extremals in control problems for wireless sensor networks

P. 455-468.

 Energy-saving optimization is very important for various engineering problems related to modern distributed systems. We consider here a control problem for a wireless sensor network with a single time server node and a large number of client nodes. The problem is to minimize a functional which accumulates clock synchronization errors in the clients nodes and the energy consumption of the server over some time interval [0,T]. The control function u=u(t), 0\leq u(t)\leq u_{1}, corresponds to the power of the server node transmitting synchronization signals to the clients. For all possible parameter values we find the structure of extremal trajectories. We show that for sufficiently large u_{1} the extremals contain singular arcs.

В книге

Vol. 3. SMTDA, 2014.