摘要：AbstractIn this paper, we show that the topological entropy of linear time-varying systems coincide with their minimal data rate for state observation, thereby extending the well-known “observation data rate” theorem for LTI systems and time-invariant nonlinear systems with compact domain. This result is relevant for the problem of controlling and observing dynamical systems via limited-capacity communication networks, as it provides a tight bound on the data rate required for the state observation of these systems. This bound, which relies only on the topological properties of the system, can thus be used as a benchmark for the comparison of different implementations of coders–decoders observing the system.
关键词：KeywordsNetworked control systemstopological entropylinear time-varying systems
