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SOSTOOLS Version 3.00 Sum of Squares Optimization Toolbox for MATLAB

- A. Papachristodoulou, James Anderson, G. Valmorbida, S. Prajna, P. Seiler, P. Parrilo
- Mathematics, Computer Science
- ArXiv
- 17 October 2013

TLDR

Region of Attraction Estimation Using Invariant Sets and Rational Lyapunov Functions

- G. Valmorbida, James Anderson
- Mathematics, Computer Science
- Autom.
- 4 April 2016

TLDR

A Decomposition Technique for Nonlinear Dynamical System Analysis

- James Anderson, A. Papachristodoulou
- Mathematics, Computer Science
- IEEE Transactions on Automatic Control
- 1 June 2012

TLDR

Tuning the dials of Synthetic Biology

- James A. J. Arpino, Edward J. Hancock, +4 authors K. Polizzi
- Biology, Medicine
- Microbiology
- 1 July 2013

Synthetic Biology is the ‘Engineering of Biology’ – it aims to use a forward-engineering design cycle based on specifications, modelling, analysis, experimental implementation, testing and validation… Expand

Model decomposition and reduction tools for large-scale networks in systems biology

- James Anderson, Yo-Cheng Chang, A. Papachristodoulou
- Computer Science
- Autom.
- 1 June 2011

TLDR

Robust nonlinear stability and performance analysis of an F/A‐18 aircraft model using sum of squares programming

- James Anderson, A. Papachristodoulou
- Mathematics
- 10 July 2013

SUMMARY
In this paper, we develop algorithms for the computational analysis of stability and robust performance properties of nonlinear models governed by polynomial differential equations in… Expand

On validation and invalidation of biological models

- James Anderson, A. Papachristodoulou
- Computer Science, Medicine
- BMC Bioinformatics
- 7 May 2009

TLDR

Advances in computational Lyapunov analysis using sum-of-squares programming

- James Anderson, A. Papachristodoulou
- Mathematics
- 1 August 2015

The stability of an equilibrium point of a nonlinear dynamical system is typically determined using Lyapunov theory. This requires the construction of an energy-like function, termed a Lyapunov… Expand

Sum of Squares Optimization Toolbox for MATLAB User ’ s guide Version 2 . 00 June 1 , 2004

This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the… Expand

Region of attraction analysis via invariant sets

- G. Valmorbida, James Anderson
- Mathematics, Computer Science
- American Control Conference
- 4 June 2014

TLDR

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