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An optimal coding strategy for the binary multi-way relay channel
TLDR
We derive the capacity of the binary multi-way relay channel, in which multiple users exchange messages at a common rate through a relay, using a novel functional-decode-forward coding strategy. Expand
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On the Robustness of KL-stability for Difference Inclusions: Smooth Discrete-Time Lyapunov Functions
TLDR
We consider stability with respect to two measures of a difference inclusion, i.e., of a discrete-time dynamical system with the push-forward map being set-valued, and show that robust stability is equivalent to the existence of a smooth Lyapunov function. Expand
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Distributed and Decentralized Control of Residential Energy Systems Incorporating Battery Storage
TLDR
The recent rapid uptake of residential solar photovoltaic installations provides many challenges for electricity distribution networks designed for one-way power flow. Expand
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Smooth Lyapunov functions and robustness of stability for difference inclusions
TLDR
We demonstrate the equivalence of robust global asymptotic stability (GAS) of the origin and the existence of a smooth Lyapunov function for difference inclusions defined by upper semicontinuous set-valued maps. Expand
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Connection between cooperative positive systems and integral input-to-state stability of large-scale systems
TLDR
We consider a class of continuous-time cooperative systems evolving on the positive orthant R"+^n. Expand
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Residential load and rooftop PV generation: an Australian distribution network dataset
ABSTRACT Despite the rapid uptake of small-scale solar photovoltaic (PV) systems in recent years, public availability of generation and load data at the household level remains very limited.Expand
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Discrete-time asymptotic controllability implies smooth control-Lyapunov function
TLDR
We demonstrate the existence of a smooth control-Lyapunov function (CLF) for difference equations asymptotically controllable to closed sets. Expand
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ISS-Lyapunov Functions for Discontinuous Discrete-Time Systems
TLDR
Input-to-State Stability (ISS) and the ISS-Lyapunov function are useful tools for the analysis and design of nonlinear systems. Expand
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The Capacity Region of Multiway Relay Channels Over Finite Fields With Full Data Exchange
TLDR
In this paper, the capacity region of a class of multiway relay channels is derived and is shown to be achievable by our proposed functional-decode-forward coding strategy. Expand
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On the Equal-Rate Capacity of the AWGN Multiway Relay Channel
TLDR
We extended functional-decode-forward to the AWGN multiway relay channel (MWRC), and derived a new achievable equal-rate region for the channel. Expand
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