# Difference between revisions of "Welcome to SYSOS"

### From SYSOS

Line 3: | Line 3: | ||

We develop tools and algorithms for the scalable analysis of nonlinear system descriptions and the design of control laws using computational tools based on the Sum of Squares decomposition and Semidefinite Programming. In particular, our group concentrates on: | We develop tools and algorithms for the scalable analysis of nonlinear system descriptions and the design of control laws using computational tools based on the Sum of Squares decomposition and Semidefinite Programming. In particular, our group concentrates on: | ||

− | * Nonlinear systems analysis, Sum of Squares optimization and Lyapunov techniques. In this spirit, we have developed methods for stability analysis of systems described by Ordinary, Delay and Partial Differential Equations, with applications in Systems Biology, Population Dynamics and Engineering. | + | * Nonlinear systems analysis, Sum of Squares optimization and Lyapunov techniques. In this spirit, we have developed methods for stability analysis of systems described by Ordinary, Delay and Partial Differential Equations, with applications in Systems Biology, Population Dynamics and Engineering. |

* Software Development (SOSTOOLS). This can be found [http://www.cds.caltech.edu/sostools here]. A new version is currently under development and more examples will be added soon. | * Software Development (SOSTOOLS). This can be found [http://www.cds.caltech.edu/sostools here]. A new version is currently under development and more examples will be added soon. | ||

Line 15: | Line 15: | ||

* [http://www.eng.ox.ac.uk/control/sysos/index.php/Chemotaxis_in_Rhodobacter_sphaeroides:_A_Feasibility_Study Control Theory Tools for Elucidating the Phosphotransfer Network in ''Rhodobacter sphaeroides'': A Feasibility Study] | * [http://www.eng.ox.ac.uk/control/sysos/index.php/Chemotaxis_in_Rhodobacter_sphaeroides:_A_Feasibility_Study Control Theory Tools for Elucidating the Phosphotransfer Network in ''Rhodobacter sphaeroides'': A Feasibility Study] | ||

<!--* [http://www.eng.ox.ac.uk/control/sysos/index.php/Project_page Project page <i>Restricted Access</i>]--> | <!--* [http://www.eng.ox.ac.uk/control/sysos/index.php/Project_page Project page <i>Restricted Access</i>]--> | ||

+ | |||

+ | * [http://www.eng.ox.ac.uk/control/sysos/index.php/RoSBNet RoSBNet: Network in Synthetic Biology. Page under construction.] | ||

+ | |||

+ | * Oxford-Princeton Collaboration on Network Science with [http://www.princeton.edu/~chiangm/ Professor Mung Chiang.] | ||

+ | |||

+ | == Current Collaborations == | ||

+ | |||

+ | * [http://www.cds.caltech.edu/~dennice/fluids/index.php?title=Main_Page A Control Engineering approach for modelling high-shear flows] | ||

== Members == | == Members == | ||

Line 20: | Line 28: | ||

* [http://users.ox.ac.uk/~engs0587 Dr Antonis Papachristodoulou] | * [http://users.ox.ac.uk/~engs0587 Dr Antonis Papachristodoulou] | ||

− | * [http://www.eng.ox.ac.uk/control/sysos/index.php/User:Mark Dr Mark Roberts] | + | * [http://www.eng.ox.ac.uk/control/sysos/index.php/User:Mark Dr Mark Roberts], October 2007- |

+ | |||

+ | * [http://www.eng.ox.ac.uk/control/sysos/index.php/User:August Dr Elias August], October 2007- | ||

− | * | + | * Mr Yo-Cheng (Mark) Chang - DPhil candidate co-supervised with Professor Judith Armitage, Department of Biochemistry, January 2007- |

− | * Mr Bence Melykuti | + | * Mr Bence Melykuti - Probationary Research Student co-supervised with Professor Alison Etheridge, Department of Statistics, January 2008- |

− | * Mr | + | * Mr James Anderson - Life Sciences Interface Doctoral Training Centre 8-week project, June-July 2008. |

== Useful Links == | == Useful Links == | ||

− | * [http://www.eng.ox.ac.uk/control Engineering Control Group | + | * [http://www.eng.ox.ac.uk/control Engineering Science Control Group] |

− | * [http://www2.bioch.ox.ac.uk/%7Earmitage/ Armitage Group | + | * [http://www2.bioch.ox.ac.uk/%7Earmitage/ Armitage Group] |

* [http://www.sysbio.ox.ac.uk/ Oxford Centre for Integrative Systems Biology] | * [http://www.sysbio.ox.ac.uk/ Oxford Centre for Integrative Systems Biology] | ||

− | * [http://www. | + | * [http://www.dtc.ox.ac.uk/ Doctoral Training Centres] |

## Revision as of 08:18, 29 June 2008

# SYSOS: Systems using Sum of Squares

We develop tools and algorithms for the scalable analysis of nonlinear system descriptions and the design of control laws using computational tools based on the Sum of Squares decomposition and Semidefinite Programming. In particular, our group concentrates on:

- Nonlinear systems analysis, Sum of Squares optimization and Lyapunov techniques. In this spirit, we have developed methods for stability analysis of systems described by Ordinary, Delay and Partial Differential Equations, with applications in Systems Biology, Population Dynamics and Engineering.

- Software Development (SOSTOOLS). This can be found here. A new version is currently under development and more examples will be added soon.

- Large-scale Networked Systems analysis with communication and structural constraints. Examples in this field come from synchronization phenomena in oscillator Networks with applications to Kuramoto couplings and synchronization of cardiac cells and Network Congestion Control for the Internet. We are looking at multi-agent systems consensus under communication and structural constraints such as the effect of time delays and switching topologies.

- Fluid mechanics and Heat transfer, from a control perspective. We are taking a control engineering approach to understand questions in Hydrodynamic Stability and mechanisms for background noise energy amplification and subsequent reduction.

## Projects

- Oxford-Princeton Collaboration on Network Science with Professor Mung Chiang.

## Current Collaborations

## Members

- Dr Mark Roberts, October 2007-

- Dr Elias August, October 2007-

- Mr Yo-Cheng (Mark) Chang - DPhil candidate co-supervised with Professor Judith Armitage, Department of Biochemistry, January 2007-

- Mr Bence Melykuti - Probationary Research Student co-supervised with Professor Alison Etheridge, Department of Statistics, January 2008-

- Mr James Anderson - Life Sciences Interface Doctoral Training Centre 8-week project, June-July 2008.