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Feedback entropy in dynamical systems

Title
Feedback entropy in dynamical systems
Funding
ARC | Discovery Projects
Contract (GA) number
DP110102401
Start Date
2011/01/01
End Date
2013/12/31
Open Access mandate
no
Organizations
-
More information
http://purl.org/au-research/grants/arc/DP110102401

 

  • Two Extensions of Topological Feedback Entropy

    Topological feedback entropy (TFE) was introduced in 2004 to measure the intrinsic rate at which a continuous, fully observed, deterministic control system generates information for controlled set-invariance. In this paper, we generalise this notion in two directions, first to continuous, partially observed systems and then to discontinuous, fully observed systems. In each case, we show that the corresponding generalised TFE coincides with the the smallest feedback bit rate that allows a form...

    A Nonstochastic Information Theory for Communication and State Estimation

    In communications, unknown variables are usually modelled as random variables, and concepts such as independence, entropy and information are defined in terms of the underlying probability distributions. In contrast, control theory often treats uncertainties and disturbances as bounded unknowns having no statistical structure. The area of networked control combines both fields, raising the question of whether it is possible to construct meaningful analogues of stochastic concepts such as inde...

    Structural Routability of n-Pairs Information Networks

    Information does not generally behave like a conservative fluid flow in communication networks with multiple sources and sinks. However, it is often conceptually and practically useful to be able to associate separate data streams with each source-sink pair, with only routing and no coding performed at the network nodes. This raises the question of whether there is a nontrivial class of network topologies for which achievability is always equivalent to routability, for any combination of sour...
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