User:Antonis

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Biographical Sketch

In 2000 I obtained an MA/MEng degree in Electrical and Information Sciences from the University of Cambridge, U.K., as a member of Robinson College. In 2005 I completed a PhD in Control and Dynamical Systems at the California Institute of Technology, with a PhD Minor in Aeronautics. My thesis was on "Scalable Analysis of Nonlinear Systems Using Convex Optimization". After a short David Crighton Fellowship at the University of Cambridge and a postdoctoral fellowship at the California Institute of Technology, I joined the Department of Engineering Science at the University of Oxford in January 2006, where I am now an Associate Professor in Engineering Science (Control Engineering), a Tutorial Fellow at Worcester College, Oxford and the Director of the EPSRC & BBSRC Centre for Doctoral Training in Synthetic Biology. I serve regularly on Technical Programme Committees for conferences, and I am associate editor for Automatica and IEEE Transactions on Automatic Control.

Research Interests

  • Modern Control Theory, Robust Stability Analysis and Design.
  • Nonlinear Dynamical Systems, Lyapunov stability.
  • Convex optimization (Linear and Semidefinite Programming, LMIs). Sum of Squares programming.
  • Systems and Synthetic Biology.
  • Networked systems: Multi-agent systems, consensus, flocking, alignment. Synchronization of oscillator networks. Internet congestion Control. Population dynamic systems. Biochemical Reaction Networks.
  • Aerospace systems and flow control.

Selected Publications

Systems & Synthetic Biology

  1. T. P. Prescott and A. Papachristodoulou. Synthetic Biology: A Control Engineering perspective. In Proceedings of the European Control Conference, 2014. PDF
  2. T. P. Prescott and A. Papachristodoulou. Layered decomposition for the model order reduction of timescale separated biochemical reaction networks. Journal of Theoretical Biology, 2014. [1]
  3. Y.-C. Chang, J. P. Armitage, A. Papachristodoulou, G. H. Wadhams. A single phosphatase can convert a robust step response into a graded, tuneable or adaptive response. Microbiology, 2013. [2]
  4. J. A. J. Arpino, E. J. Hancock, J. Anderson, M. Barahona, G.-B. Stan, A. Papachristodoulou and K. Polizzi. Tuning the Dials of Synthetic Biology. Microbiology, 2013. [3]
  5. J. Dolan, J. Anderson and A. Papachristodoulou. A loop shaping approach for designing biological circuits. In Proc. of the IEEE CDC 2012. [4]
  6. J. Anderson, N. Strelkowa, G.-B. Stan, T. Douglas, J. Savulescu, M. Barahona and A. Papachristodoulou. Engineering and ethical perspectives in synthetic biology. EMBO Reports, 13(7):584-590, 2012 [5] PDF
  7. T. P. Prescott and A. Papachristodoulou. Guaranteed error bounds for structured complexity reduction of biochemical networks. Journal of Theoretical Biology, 304:172-182, 2012. [6] PDF
  8. A. Hamadeh, E. August, M. A. J. Roberts, P. K. Maini, J. P. Armitage, B. P. Ingalls and A. Papachristodoulou. Feedback Control Architecture of the R. sphaeroides Chemotaxis Network. In Proc of the IEEE CDC 2011. [7] PDF
  9. A. Hamadeh, M. A. J. Roberts, E. August, P. E. McSharry, P. K. Maini, J. P. Armitage and A. Papachristodoulou. Feedback Control Architecture and the Bacterial Chemotaxis Network. PLoS Computational Biology, 7(5): e1001130, 2011. [8] PDF
  10. J. Anderson, Y.-C. Chang and A. Papachristodoulou. Model Decomposition and Reduction Tools for Large-Scale Networks in Systems Biology. Automatica 47(6):1165-1174, 2011. [9] PDF
  11. B. Mélykúti, E. August, A. Papachristodoulou and H. El-Samad. Discriminating between rival biochemical network models: three approaches to optimal experiment design. BMC Systems Biology 2010, 4:38. [10] PDF
  12. M. A. J. Roberts, A. Papachristodoulou and J. P. Armitage. Adaptation and control circuits in bacterial chemotaxis. Biochemical Society Transactions, 38:1265–1269, 2010. [11]
  13. M. A. J. Roberts, E. August, A. Hamadeh, P. K. Maini, P. E. McSharry, J. P. Armitage and A. Papachristodoulou. A model invalidation-based approach for elucidating biological signalling pathways, applied to the chemotaxis pathway in R. sphaeroides. BMC Systems Biology 2009, 3:105. [12] PDF
  14. J. Anderson and A. Papachristodoulou. On Validation and Invalidation of Biological Models. BMC Bioinformatics 2009, 10:132. [13] PDF
  15. E. August and A. Papachristodoulou. Efficient, sparse biological network determination. BMC Systems Biology 2009, 3:25. [14] PDF
  16. E. August and A. Papachristodoulou. A new computational tool for establishing model parameter identifiability. Journal of Computational Biology. June 2009, 16(6): 875-885. [15] PDF
  17. E. August, A. Papachristodoulou, B. Recht, M. A. J. Roberts and A. Jadbabaie. Determining Interconnections in Biochemical Networks Using Linear Programming. In Proc. of the IEEE CDC, 2008. [16] PDF
  18. A. Papachristodoulou and B. Recht. Determining Interconnections in Chemical Reaction Networks. In Proc. of the ACC, 2007. [17] PDF
  19. A. Papachristodoulou and H. El-Samad. Algorithms for Discriminating between Biochemical Reaction Network Models: Towards Systematic Experimental Design. In Proc. of the ACC, 2007. [18] PDF
  20. H. El-Samad, S. Prajna, A. Papachristodoulou, J. C. Doyle, and M. Khammash. Advanced Methods and Algorithms for Biological Networks Analysis. Proceedings of the IEEE, 94(4): 832 – 853, 2006. [19] PDF
  21. H. El-Samad, M. Fazel, X. Liu, A. Papachristodoulou, S. Prajna. Stochastic Reachability Analysis in Complex Biological Networks. In Proc. of the ACC, 2006. [20] PDF
  22. T.-M. Yi, M. Fazel, X. Liu, O. Otitoju, J. Gonçalves, A. Papachristodoulou, S. Prajna, J. C. Doyle. Application of Robust Model Validation Using SOSTOOLS to the Study of G-Protein Signaling in Yeast. In Proc. of Foundations of Systems Biology in Engineering, 2005. PDF
  23. H. El-Samad, S. Prajna, A. Papachristodoulou, M. Khammash, and J.C. Doyle. Model validation and robust stability analysis of the bacterial heat shock response using SOSTOOLS. In Proc. of the IEEE CDC, 2003. [21] PDF

Sum of Squares Techniques

  1. Edward J. Hancock and Antonis Papachristodoulou. Generalised absolute stability and sum of squares. Automatica 49(4):960-967, 2013. [22]
  2. J. Anderson and A. Papachristodoulou. Robust nonlinear stability and performance analysis of an F/A-18 aircraft model using sum of squares programming. International Journal of Robust and Nonlinear Control, 2012. [23]
  3. M. Peet and A. Papachristodoulou. A Converse Sum of Squares Lyapunov Result with a Degree Bound. IEEE Transactions on Automatic Control 57(9):2281-2293, 2012. [24]
  4. J. Anderson and A. Papachristodoulou. A Decomposition Technique for Nonlinear Dynamical System Analysis. IEEE Transactions on Automatic Control 57(6):1516-1521, June 2012. [25]
  5. E. Hancock and A. Papachristodoulou. Structured Sum of Squares for Networked Systems Analysis. In Proc. of the IEEE CDC, 2011. [26]
  6. E. Hancock and A. Papachristodoulou. Generalized Absolute Stability and Sum of Squares. In Proc. of the ACC, 2011. [27]
  7. J. Anderson and A. Papachristodoulou. Dynamical System Decomposition for Efficient, Sparse Analysis. In Proc. of the IEEE CDC, 2010. [28]
  8. J. Anderson and A. Papachristodoulou. A Network Decomposition Approach for Efficient Sum-of-Squares Programming Based Analysis. In Proc. of the ACC, 2010. [29]
  9. M. Peet and A. Papachristodoulou. Inverses of Positive Linear Operators and State Feedback Design for Time-Delay Systems. In Proc. of the 8th IFAC Workshop on Time Delay Systems, 2009.
  10. A. Papachristodoulou and S. Prajna. Robust stability analysis of nonlinear hybrid systems. IEEE Transactions on Automatic Control. Volume 54, Issue 5, pp. 1037-1043 (2009) [30]
  11. A. Papachristodoulou, M. M. Peet and S. Lall. Analysis of polynomial systems with time delays via the sum of squares decomposition. IEEE Transactions on Automatic Control. Volume 54, Issue 5, 1061-1067 (2009) [31]
  12. M. M. Peet, A. Papachristodoulou and S. Lall. Positive forms and stability of linear time-delay systems. SIAM J. Control Optim. Volume 47, Issue 6, pp. 3237-3258 (2009) [32]
  13. M. M. Peet and A. Papachristodoulou. Using polynomial semi-separable kernels to construct infinite-dimensional Lyapunov functions. In Proc. of the IEEE CDC, 2008.
  14. A. Papachristodoulou, M. M. Peet and S.-I. Niculescu. Stability Analysis of Linear Systems with Time-Varying Delays: Delay Uncertainty and Quenching. In Proc. of the IEEE CDC, 2007.
  15. M. M. Peet and A. Papachristodoulou. Positivity of Kernel Functions for Systems with Communication Delay. In Proc. of the IEEE CDC, 2007.
  16. M. M. Peet, A. Papachristodoulou, and S. Lall. Positive Forms and Stability of Linear Time-Delay Systems. In Proc. of the IEEE CDC, 2006.
  17. A. Papachristodoulou and M. M. Peet. On the Analysis of Systems Described by Classes of Partial Differential Equations. In Proc. of the IEEE CDC, 2006.
  18. A. A. Salinas-Varela, A. Papachristodoulou and J. Gonçalves. On L2 Error Bounds between Systems. In Proc. of the International Symposium on Mathematical Theory of Networks and Systems, 2006.
  19. A. Papachristodoulou. Robust stabilization of nonlinear time delay systems using convex optimization. In Proc. of the IEEE CDC, 2005.
  20. A. Papachristodoulou, M. M. Peet and S. Lall. Constructing Lyapunov-Krasovskii Functionals for Linear Time Delay Systems. In Proc. of the American Control Conference, 2005.
  21. A. Papachristodoulou and S. Prajna. Analysis of non-polynomial systems using the sum of squares decomposition. In Positive Polynomials in Control, Springer-Verlag, 2005.
  22. S. Prajna, A. Papachristodoulou, and F. Wu. Nonlinear control synthesis by sum of squares optimization: A Lyapunov-based approach. In Proc. of the Asian Control Conference, 2004.
  23. A. Papachristodoulou. Analysis of nonlinear time delay systems using the sum of squares decomposition. In Proc. of the American Control Conference, 2004.
  24. S. Prajna and A. Papachristodoulou. Analysis of switched and hybrid systems – beyond piecewise quadratic methods. In Proc. of the American Control Conference, 2003.
  25. A. Papachristodoulou and S. Prajna. On the construction of Lyapunov functions using the sum of squares decomposition. In Proc. of the IEEE CDC, 2002.

Large Scale Systems Analysis and Design

  1. R. P. Mason and A. Papachristodoulou. Dynamic edge adaptation in delayed oscillator networks. In Proc. of the IEEE CDC 2012. [33]
  2. G. S. Schmidt, A. Papachristodoulou, U. Münz and F. Allgöwer. Frequency synchronization and phase agreement in Kuramoto oscillator networks with delays. Automatica, 2012. [34]
  3. K. Kashima, K, A. Papachristodoulou and F. Allgöwer. Connection profile robustness in a heterogeneous network of piecewise affine FitzHugh-Nagumo models. In Proc. 2011 SICE. [35]
  4. U. Münz, A. Papachristodoulou and F. Allgöwer. Delay Robustness in Non-Identical Multi-Agent Systems. IEEE Transactions on Automatic Control, 57(6): 1597 - 1603, 2012. [36]
  5. U. Münz, A. Papachristodoulou and F. Allgöwer. Consensus in Multi-Agent Systems with Coupling Delays and Switching Topology. IEEE Transactions on Automatic Control, 56(12):2976-2982, 2012. [37]
  6. J. Anderson, A. Teixeira, H. Sandberg, A. Papachristodoulou. Dynamical System Decomposition Using Dissipation Inequalities. In Proc. of the IEEE CDC 2011. [38]
  7. B. Chu, S. Duncan, A. Papachristodoulou. A Structured Model Reduction Method for Large Scale Networks. In Proc. of the IEEE CDC 2011. [39]
  8. Y. Li, A. Papachristodoulou, M. Chiang and A. Robert Calderbank. Congestion Control and its Stability in Networks with Delay Sensitive Traffic. Computer Networks, 55(1):20–32, 2011. [40]
  9. U. Münz, A. Papachristodoulou, and F. Allgöwer. Robust Consensus Controller Design for Nonlinear Relative Degree Two Multi-Agent Systems with Communication Constraints. IEEE Transactions on Automatic Control, 56(1),145-151, 2011. [41]
  10. A. Papachristodoulou, Y.-C. Chang, E. August and J. Anderson. Structured model reduction for dynamical networked systems. In Proc. of the IEEE CDC 2010. [42]
  11. U. Münz, A. Papachristodoulou and F. Allgöwer. Delay Robustness in Consensus Problems. Automatica, 46(8):1252-1265, 2010.[43]
  12. A. Papachristodoulou, A. Jadbabaie and U. Münz. Effects of Delay in Multi-Agent Consensus and Oscillator Synchronization. IEEE Transactions on Automatic Control, 55(6):1471-1477, 2010. [44]
  13. A. Papachristodoulou and A. Jadbabaie. Delay Robustness of Nonlinear Internet Congestion Control Schemes. IEEE Transactions on Automatic Control, 55(6):1421-1427, 2010. [45]
  14. U. Münz, A. Papachristodoulou, and F. Allgöwer. Robust Rendezvous of Heterogeneous Langrange Systems on Packet-Switched Networks. at - Automatisierungstechnik, Volume 58, Issue 4, April 2010, pages 184 - 191. [46]
  15. U. Münz, A. Papachristodoulou and F. Allgöwer. Generalized Nyquist Consensus Condition for Large High-Order Linear Multi-Agent Systems with Communication Delays. In Proceedings of the IEEE Conference on Decision and Control, 2009. [47]
  16. J. Anderson and A. Papachristodoulou. A Decomposition/Synchronization Scheme for Formulating and Solving Optimization Problems. In Proceedings of the 1st IFAC workshop on distributed estimation and control in networked systems, 2009. [48]
  17. U. Münz, A. Papachristodoulou and F. Allgöwer. Generalized Nyquist Consensus Condition for Linear Multi-Agent Systems with Heterogeneous Delays. In Proceedings of the 1st IFAC workshop on distributed estimation and control in networked systems, 2009. [49]
  18. U. Münz, A. Papachristodoulou and F. Allgöwer. Output Consensus Controller Design for Nonlinear Relative Degree One Multi-Agent Systems with Delays. In Proceedings of the 8th IFAC Workshop on Time Delay Systems, 2009.
  19. U. Münz, A. Papachristodoulou and F. Allgöwer. Consensus Reaching in Multi-Agent Packet-Switched Networks with Nonlinear Coupling. International Journal of Control, Volume 82, Issue 5, May 2009, pages 953 - 969. [50]
  20. U. Münz, A. Papachristodoulou and F. Allgöwer. Delay-dependent rendezvous and flocking of large scale multi-agent systems with communication delays. In Proc. of the IEEE CDC, 2008.
  21. U. Münz, A. Papachristodoulou and F. Allgöwer. Nonlinear Multi-Agent System Consensus with Time-Varying Delays. In Proc. of the IFAC World Congress, 2008.
  22. A. Papachristodoulou and M. M. Peet. Global Stability Analysis of Primal Internet Congestion Control Schemes with Heterogeneous Delays. In Proc. of the IFAC World Congress, 2008.
  23. Y. Li, A. Papachristodoulou, M. Chiang and A. R. Calderbank. Stability of Congestion Control Schemes with Delay Sensitive Traffic. In Proc. of the American Control Conference, 2008.
  24. U. Münz, A. Papachristodoulou and F. Allgöwer. Multi-Agent System Consensus in Packet-Switched Networks. Proc. of the European Control Conference, 2007.
  25. A. Papachristodoulou, A. Jadbabaie. Synchronization in Oscillator Networks with Heterogeneous Delays, Switching Topologies and Nonlinear Dynamics. In Proc. of the IEEE CDC, 2006. [51]
  26. A. Papachristodoulou, A. Jadbabaie. Synchronization in Oscillator Networks: Switching Topologies and Non-homogeneous Delays. In Proc. of the IEEE CDC, 2005. [52]
  27. A. Papachristodoulou, L. Li and J. C. Doyle. Methodological Frameworks for Large-scale Network Analysis and Design. ACM SIGCOMM Comp. Comm. Reviews, 34(3): 7 – 20, 2004.
  28. A. Papachristodoulou. Global stability analysis of a TCP/AQM protocol for arbitrary networks with delay. In Proc. of the IEEE CDC, 2004.

Software

  1. S. Prajna, A. Papachristodoulou, and P. A. Parrilo. SOSTOOLS – Sum of Squares Optimization Toolbox, User’s Guide. Available at http://www.eng.ox.ac.uk/control/sostools, 2002.
  2. S. Prajna, A. Papachristodoulou, and P. A. Parrilo. Introducing SOSTOOLS: A general purpose sum of squares programming solver. In Proc. of the IEEE CDC, 2002.
  3. S. Prajna, A. Papachristodoulou, P. Seiler, and P. A. Parrilo. SOSTOOLS and its Control Applications. In Positive Polynomials in Control, Springer-Verlag, 2005.

Applications

  1. S.I. Chernyshenko, P. Goulart, D. Huang, A. Papachristodoulou. Polynomial sum of squares in fluid dynamics: A review with a look ahead. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 372(2020):20130350, 2014. [53]
  2. M. Anghel, F. Milano and A. Papachristodoulou. Algorithmic Construction of Lyapunov Functions for Power System Stability Analysis. IEEE Transactions on Circuits and Systems I: Regular Papers. [54]
  3. B. Chu, S. R. Duncan, A. Papachristodoulou, C. Hepburn. Analysis and control design of sustainable policies for greenhouse gas emissions. [55]
  4. S. R. Duncan, A. Papachristodoulou. Energy amplification in channel flow over riblets. In Proc. of the 2011 CACSD. [56]
  5. D. F. Gayme, B. J. McKeon, B. Bamieh, A. Papachristodoulou and J. C. Doyle. Amplification and nonlinear mechanisms in plane Couette flow. Phys. Fluids 23, 065108 (2011). [57]
  6. S. R. Duncan, C. Hepburn and A. Papachristodoulou. Optimal harvesting of fish stocks under a time-varying discount rate. Journal of Theoretical Biology, 269:1, 166-173, 2011. [58]
  7. D. Gayme, B. McKeon, A. Papachristodoulou, B. Bamieh and J. C. Doyle. A Streamwise Constant Model of Turbulence in Plane Couette Flow. Journal of Fluid Mechanics, 665:99-119, 2010. [59]
  8. C. Hepburn, S. R. Duncan and A. Papachristodoulou. Behavioural Economics, Hyperbolic Discounting and Environmental Policy. Environmental and Resource Economics, 2010. [60]
  9. N. Paulino, E. Di Sotto, S. Salehi, A. Kron, J.-F. Hamel, W. Wang, P. Menon, D. Bates, A. Papachristodoulou and C. Maier. VVAF - Worst case & safety analysis tools for autonomous rendezvous system. In Proc. of the AIAA Guidance, Navigation, and Control Conference, 2010.
  10. D. Gayme, B. J. McKeon, A. Papachristodoulou, and J.C. Doyle. 2D/3C Model of Large Scale Structures in Turbulence in Plane Couette Flow. Proceedings of the 6th International Symposium on Turbulence and Shear Flow Phenomena, Seoul, Korea, June 2009.
  11. A. Papachristodoulou and M. M. Peet. SOS for Nonlinear Delayed Models in Biology and Networking. In Topics in Time-Delay Systems: Analysis, Algorithms and Control, Springer-Verlag, 2008.
  12. S. Glavaski, D. Subramanian, K. Ariyur, R. Ghosh, N. Lamba and A. Papachristodoulou. A Nonlinear Hybrid Life Support System: Dynamic Modelling, Control Design, and Safety Verification. IEEE Transactions on Control Technology, 15(6): 1003 – 1017, 2007.
  13. A. Papachristodoulou, S. Prajna and S. Glavaski. Sum of Squares in Industry: An Algorithmic Analysis Approach. Tutorial Session at the American Control Conference, 2005.
  14. K. Krishnaswamy, G. Papageorgiou, S. Glavaski, and A. Papachristodoulou. Analysis of aircraft pitch axis stability augmentation system using sum of squares optimization. In Proc. of the American Control Conference, 2005.
  15. A. Papachristodoulou and C. Papageorgiou. Robust stability and performance analysis of a longitudinal aircraft model using sum of squares techniques. In Proc. of the Mediterranean Control Conference, 2005.
  16. S. Glavaski, A. Papachristodoulou and K. Ariyur. Computational challenges of controlled hybrid system safety verification. In Hybrid Systems: Computation and Control, Springer-Verlag, 2005.
  17. A. Papachristodoulou, J. C. Doyle, and S. H. Low. Analysis of nonlinear delay differential equation models of TCP/AQM protocols using sums of squares. In Proc. of the IEEE CDC, 2004.
  18. A. Papachristodoulou and F. E. C. Culick. Flight Mechanics of the Wright Aircraft 1903-1912. In AIAA 41st Aerospace Sciences Meeting and Exhibit, Paper number AIAA-2003-0097, 2003.

Theses

  1. A. Papachristodoulou. Scalable Analysis of Nonlinear Systems Using Convex Optimization. PhD Thesis, California Institute of Technology, Pasadena CA, 2005.

Teaching

  • Academic Year 2006-2007
    • Michaelmas 2006: C5A, Control and Optimization of Operations
    • Hilary 2007: C4A, Networked Systems
  • Academic Year 2007-2008
    • Michaelmas 2007: C4A, Networked Systems
    • Hilary 2008: C5B, Biosystem Modelling
  • Academic Year 2008-2009
    • Hilary 2009: C4A: Networked Systems, C5B: Biosystem Modelling.
  • Academic Year 2009-2010
    • Hilary 2010: C4A: Networked Systems, C5B: Biosystem Modelling.
  • Academic Year 2010-2011
    • Michealmas 2010: C4A: Networked Systems
    • Hilary 2011: C5B: Biosystem Modelling, C5A: Control and Optimization of Operations
  • Academic Year 2011-2012
    • Michealmas 2011: C21: Networked Systems, C24: Dynamical Systems and C11: Control and Optimization of Operations.
    • Hilary 2012: C10: Biosystem Modelling.
  • Academic Year 2012-2013
    • Michealmas 2012: C21: Networked Systems, C24: Dynamical Systems
    • Hilary 2013: C11: Control and Optimization of Operations.
  • Academic Year 2013-2014
    • Michealmas 2013: C21: Networked Systems, C24: Dynamical Systems
    • Hilary 2014: C11: Control and Optimization of Operations.

Contact Info

  • E-mail: antonis at eng point ox point ac point uk
  • Department Address: Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, U.K. Telephone: +44 1865 2 83036. Fax: +44 1865 283394
  • College Address: Worcester College, Oxford, OX1 2HB, U.K. Telephone: +44 1865 2 78325