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- Stephen Prajna, Athanasia Papachristodoulou, Fen Wu
- 2004 5th Asian Control Conference (IEEE Cat. Noâ€¦
- 2004

This paper addresses the state feedback control synthesis problems for nonlinear systems, either without or with guaranteed cost or H/sub /spl infin// performance objectives. By representing theâ€¦ (More)

- Athanasia Papachristodoulou, Stephen Prajna
- Proceedings of the 2005, American Controlâ€¦
- 2005

This tutorial is about new system analysis techniques that were developed in the past few years based on the sum of squares decomposition. We present stability and robust stability analysis tools forâ€¦ (More)

- Athanasia Papachristodoulou, Ali Jadbabaie
- Proceedings of the 44th IEEE Conference onâ€¦
- 2005

We investigate the problem of synchronization in oscillator networks when the delay inherent in such systems is taken into account. We first investigate a general Kuramoto- type model withâ€¦ (More)

- Athanasia Papachristodoulou
- Proceedings of the 2004 American Controlâ€¦
- 2004

The use of the sum of squares decomposition and semidefinite programming have provided an efficient methodology for analysis of nonlinear systems described by ODEs by algorithmically constructingâ€¦ (More)

- Stephen Prajna, Athanasia Papachristodoulou, Peter Seiler, P. A. Parrilo
- Proceedings of the 2004 American Controlâ€¦
- 2004

We describe the latest additions to SOSTOOLS, a freely available MATLAB toolbox for formulating and solving sum of squares programs. Among the many improvements, there are native polynomial objects,â€¦ (More)

- Sergei Chernyshenko, Paul J. Goulart, D. Huang, Athanasia Papachristodoulou
- Philosophical transactions. Series Aâ€¦
- 2014

The first part of this paper reviews the application of the sum-of-squares-of-polynomials technique to the problem of global stability of fluid flows. It describes the known approaches and the latestâ€¦ (More)

- Athanasia Papachristodoulou
- 2004 43rd IEEE Conference on Decision and Controlâ€¦
- 2004

We investigate global stability of fast AQM scalable TCP (FAST), a network congestion control scheme for the Internet modelled by a nonlinear delay differential equation with heterogeneous delays.â€¦ (More)

- Athanasia Papachristodoulou, Ben Recht
- 2007 American Control Conference
- 2007

We present a methodology for robust determination of chemical reaction network interconnections. Given time series data that are collected from experiments and taking into account the measurementâ€¦ (More)

- Athanasia Papachristodoulou, J. C. Doyle, S. H. Low
- 2004 43rd IEEE Conference on Decision and Controlâ€¦
- 2004

The simplest adequate models for congestion control for the Internet are in the form of deterministic nonlinear delay differential equations. However the absence of efficient, algorithmicâ€¦ (More)

- Athanasia Papachristodoulou, Ali Jadbabaie
- Proceedings of the 45th IEEE Conference onâ€¦
- 2006

This paper investigates the attractivity properties of the locked-in-phase equilibria set in oscillator networks, in the presence of multiple, non-commensurate communication delays. The dynamics thatâ€¦ (More)