activity
20102021
most citedClassical Converse Theorems in Lyapunov's Second Method

82 citations · 363 across the 22 of their papers we have counts for

collaborators

25 papers

math.OC2021★ 2 cited

Robust Implementable Regulator Design of General Linear Systems

Lei Wang, Lorenzo Marconi, Christopher M. Kellett

Robust implementable output regulator design approaches are studied for general linear continuous-time \mbox{systems} with periodically sampled measurements, consisting of both the…

math.OC2021

Robust I&I Adaptive Tracking Control of Systems with Nonlinear Parameterization: An ISS Perspective

Lei Wang, Christopher M. Kellett

This paper studies the immersion and invariance (I&I) adaptive tracking problem for a class of nonlinear systems with nonlinear parameterization in the ISS framework. Under some mi…

eess.SY2020

Robust Output Feedback Stabilization of MIMO Invertible Nonlinear Systems with Output-Dependent Multipliers (extended version)

Lei Wang, Christopher M. Kellett

This note studies the robust output feedback stabilization problem of multi-input multi-output invertible nonlinear systems with output-dependent multipliers. An "ideal" state feed…

eess.SY2020

On Continuous-Time Infinite Horizon Optimal Control -- Dissipativity, Stability and Transversality

Timm Faulwasser, Christopher M. Kellett

This paper analyses the interplay between dissipativity and stability properties in continuous-time infinite-horizon Optimal Control Problems (OCPs). We establish several relations…

eess.SY2019★ 1 cited

Robust Output Feedback Stabilization of Multivariable Invertible Nonlinear Systems: A Feedback Linearization-Based Method

Lei Wang, Christopher M. Kellett

This note studies the robust output feedback stabilization problem of a class of multi-input multi-output invertible nonlinear systems, for which an "ideal" state feedback based on…

eess.SY2019★ 1 cited

Adaptive Semiglobal Nonlinear Output Regulation:An Extended-State Observer Approach

Lei Wang, Christopher M. Kellett

This paper proposes a new extended-state observer-based framework for adaptive nonlinear regulator design of a class of nonlinear systems, in the general nonequilibrium theory. By…

eess.SY2018★ 2 cited

Feedback, Dynamics, and Optimal Control in Climate Economics

Christopher M. Kellett, Steven R. Weller, Timm Faulwasser +2

For his work in the economics of climate change, Professor William Nordhaus was a co-recipient of the 2018 Nobel Memorial Prize for Economic Sciences. A core component of the work…

math.OC2016

Convergence Properties for Discrete-time Nonlinear Systems

Duc N. Tran, Björn S. Rüffer, Christopher M. Kellett

Three similar convergence notions are considered. Two of them are the long established notions of convergent dynamics and incremental stability. The other is the more recent notion…

math.OC2016

DICE2013R-mc: A Matlab / CasADi Implementation of Vanilla DICE 2013R

Christopher M. Kellett, Timm Faulwasser, Steven R. Weller

This brief document provides a description of how to use DICE2013R-mc \cite{DICE2013R-mc}, a Matlab and CasADi-based implementation of the Dynamic Integrated model of Climate and E…

math.OC2015★ 82 cited

Classical Converse Theorems in Lyapunov's Second Method

Christopher M. Kellett

Lyapunov's second or direct method is one of the most widely used techniques for investigating stability properties of dynamical systems. This technique makes use of an auxiliary f…

math.OC2014★ 2 cited

Input-to-State Stability, integral Input-to-State Stability, and -Gain Properties: Qualitative Equivalences and Interconnected Systems

Christopher M. Kellett, Peter M. Dower

Input-to-state stability (ISS) and -gain are well-known robust stability properties that continue to find wide application in the analysis and control of nonlinear d…

cs.IT2013★ 2 cited

Optimal Coding Functions for Pairwise Message Sharing on Finite-Field Multi-Way Relay Channels

Lawrence Ong, Sarah J. Johnson, Christopher M. Kellett

This paper considers the finite-field multi-way relay channel with pairwise message sharing, where multiple users exchange messages through a single relay and where the users may s…

cs.IT2012★ 7 cited

On the Capacity of the Binary-Symmetric Parallel-Relay Network

Lawrence Ong, Sarah J. Johnson, Christopher M. Kellett

We investigate the binary-symmetric parallel-relay network where there is one source, one destination, and multiple relays in parallel. We show that forwarding relays, where the re…

cs.IT2012★ 31 cited

On the Equal-Rate Capacity of the AWGN Multiway Relay Channel

Lawrence Ong, Christopher M. Kellett, Sarah J. Johnson

The L-user additive white Gaussian noise multiway relay channel is investigated, where L users exchange information at the same rate through a single relay. A new achievable rate r…

cs.IT2012

The Three-User Finite-Field Multi-Way Relay Channel with Correlated Sources

Lawrence Ong, Gottfried Lechner, Sarah J. Johnson +1

This paper studies the three-user finite-field multi-way relay channel, where the users exchange messages via a relay. The messages are arbitrarily correlated, and the finite-field…

cs.IT2011★ 6 cited

Functional-Decode-Forward for the General Discrete Memoryless Two-Way Relay Channel

Lawrence Ong, Christopher M. Kellett, Sarah J. Johnson

We consider the general discrete memoryless two-way relay channel, where two users exchange messages via a relay, and propose two functional-decode-forward coding strategies for th…

cs.IT2011★ 1 cited

The Capacity of a Class of Multi-Way Relay Channels

Lawrence Ong, Sarah J. Johnson, Christopher M. Kellett

The capacity of a class of multi-way relay channels, where L users communicate via a relay (at possibly different rates), is derived for the case where the channel outputs are modu…

cs.IT2011★ 5 cited

The Half-Duplex AWGN Single-Relay Channel: Full Decoding or Partial Decoding?

Lawrence Ong, Sarah J. Johnson, Christopher M. Kellett

This paper compares the partial-decode-forward and the complete-decode-forward coding strategies for the half-duplex Gaussian single-relay channel. We analytically show that the ra…

cs.IT2011★ 7 cited

Joint Channel-Network Coding Strategies for Networks with Low Complexity Relays

Sarah J. Johnson, Lawrence Ong, Christopher M. Kellett

We investigate joint network and channel coding schemes for networks when relay nodes are not capable of performing channel coding operations. Rather, channel encoding is performed…

cs.IT2011★ 5 cited

On Achievable Rate Regions of the Asymmetric AWGN Two-Way Relay Channel

Lawrence Ong, Christopher M. Kellett, Sarah J. Johnson

This paper investigates the additive white Gaussian noise two-way relay channel, where two users exchange messages through a relay. Asymmetrical channels are considered where the u…

cs.IT2011★ 3 cited

The Finite Field Multi-Way Relay Channel with Correlated Sources: The Three-User Case

Lawrence Ong, Roy Timo, Gottfried Lechner +2

The three-user finite field multi-way relay channel with correlated sources is considered. The three users generate possibly correlated messages, and each user is to transmit its m…

cs.IT2011★ 74 cited

The Capacity Region of Multiway Relay Channels Over Finite Fields with Full Data Exchange

Lawrence Ong, Sarah J. Johnson, Christopher M. Kellett

The multi-way relay channel is a multicast network where L users exchange data through a relay. In this paper, the capacity region of a class of multi-way relay channels is derived…

cs.IT2010★ 1 cited

The Binary-Symmetric Parallel-Relay Network

Lawrence Ong, Sarah J. Johnson, Christopher M. Kellett

We present capacity results of the binary-symmetric parallel-relay network, where there is one source, one destination, and K relays in parallel. We show that forwarding relays, wh…

cs.IT2010★ 59 cited

Capacity Theorems for the AWGN Multi-Way Relay Channel

Lawrence Ong, Christopher M. Kellett, Sarah J. Johnson

The L-user additive white Gaussian noise multi-way relay channel is considered, where multiple users exchange information through a single relay at a common rate. Existing coding s…