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Stabilizability of Stochastic Linear Systems with Finite Feedback Data Rates
TLDR
An explicit expression for the infimum stabilizing data rate sufficient to achieve "reliable" control, and explicit expressions for it have been derived for linear time-invariant systems without disturbances. Expand
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Feedback Control Under Data Rate Constraints: An Overview
TLDR
We show how fundamental tradeoffs between the data rate and control goals, such as stability, mean entry times, and asymptotic state norms emerge naturally. Expand
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Topological feedback entropy and Nonlinear stabilization
TLDR
It is well known in the field of dynamical systems that entropy can be defined rigorously for completely deterministic open-loop systems. Expand
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Data Rate Theorem for Stabilization Over Time-Varying Feedback Channels
TLDR
A data rate theorem for stabilization of a linear, discrete-time, dynamical system with arbitrarily large disturbances, over a rate-limited, time-varying communication channel is presented. Expand
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Substrate and Trigger Ablation for Reduction of Atrial Fibrillation (STAR AF): a randomized, multicentre, international trial†
Aims This multicentre, randomized trial compared three strategies of AF ablation: ablation of complex fractionated electrograms (CFE) alone, pulmonary vein isolation (PVI) alone, and combined PVI +Expand
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A Nonstochastic Information Theory for Communication and State Estimation
  • Girish N. Nair
  • Mathematics, Computer Science
  • IEEE Transactions on Automatic Control
  • 15 December 2011
TLDR
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. Expand
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Stabilization with data-rate-limited feedback: tightest attainable bounds
Abstract This paper investigates the stabilizability of a linear, discrete-time plant with a real-valued output when the controller, which may be nonlinear, receives observation data at a known rate.Expand
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Role of the implantable defibrillator among elderly patients with a history of life-threatening ventricular arrhythmias.
AIMS The implantable defibrillator (ICD) reduces arrhythmic and all-cause mortality in patients with a history of life-threatening ventricular arrhythmias. However, its effectiveness in elderlyExpand
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Mean square stabilisability of stochastic linear systems with data rate constraints
A fundamental question in the field of communication-limited control is how low the closed loop data rate can be made before a given dynamical system is impossible to stabilise by any coding andExpand
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Stochastic consensus over noisy networks with Markovian and arbitrary switches
TLDR
We propose a measurement model with a random link gain, additive noise, and Markovian lossy signal reception, which captures uncertain operational conditions of practical networks. Expand
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