Seminar Details
2010-11-09 (15.00) : Discontinuities and hysteresis in quantized average consensus
At Euler building
Organized by Mathematical Engineering
Speaker :
De Persis, Claudio
Abstract :
We consider continuous-time average consensus dynamics,
discuss how quantization can be included in the system, and focus on
one model in which the agents'states are communicated through uniform
quantizers. We give a mathematical treatment in terms of differential
equations with discontinuous righthand side. Solutions to the
resulting system are defined in the Krasowskii sense, and results are
given proving their convergence to conditions of practical
consensus. In the case of symmetric graphs, these conditions
correspond to the equilibria of the system. To cope with potential
chattering phenomena, which may be undesired in the applications, we
propose the use of a hysteretic quantizer, and study the convergence
properties of the resulting dynamics by a hybrid system approach.