Mezić Research Group

Dynamical Systems and Nonlinear Control Theory

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Reference Details
Mohr, Ryan and Mezi'c, Igor (2010), "The use of ergodic theory in designing dynamics for search problems", Decision and Control (CDC), 2010 49th IEEE Conference on: 7300 -- 7307.

Abstract:
In this paper, we use tools from ergodic theory to design dynamics for searching for a target of unknown size. We show that the expected time to find a target is controlled by the local dimension of the invariant measure. The expected time to find the target behaves as -C log δ where δ is the minimum volume of the target. This relation holds in any dimension for a large class of systems. Sampling non-uniform target priors and continuous time search are discussed.

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Acknowledgements