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We consider multi-dimensional Hegselmann-Krause model for opinion dynamics in discrete-time for a set of homogeneous agents. Using dynamic system point of view, we investigate stability properties of the dynamics and show its finite time convergence. The novelty of this work lies in the use of dynamic system approach and the development of Lyapunov-type tools for the analysis of the Hegselmann-Krause...
A procedure for the stability analysis of discrete-time piecewise affine systems is proposed, where a sequence of finite-state symbolic models is constructed such that each of these symbolic models simulates the given piecewise affine system. For a fairly large class of piecewise affine systems, the proposed procedure does not suffer from inherent conservatism, and thus the sequence of symbolic models...
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