User

Antonis

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Biographical Sketch

I received an MA/MEng in Electrical and Information Sciences from the University of Cambridge, U.K. in 2000. In 2005 I obtained a PhD in Control and Dynamical Systems, California Institute of Technology, with a PhD Minor in Aeronautics. My thesis was titled "Scalable Analysis of Nonlinear Systems Using Convex Optimization", under the supervision of Professor John C. Doyle. After a short David Crighton Fellowship at the University of Cambridge and a postdoctoral fellowship at Caltech, I joined the Department of Engineering Science as a Departmental Lecturer in Control Engineering in January 2006.

Research Interests

  • Modern Control Theory.
  • Nonlinear Dynamical Systems, Lyapunov stability.
  • Convex optimization (linear and semidefinite programming, LMIs). Sum of Squares programming.
  • Systems and Synthetic Biology (Modelling Biological systems and their control)
  • 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.

Publications

Systems Biology

  1. 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. [1]
  2. J. Anderson and A. Papachristodoulou. On Validation and Invalidation of Biological Models. BMC Bioinformatics 2009, 10:132. [2]
  3. E. August and A. Papachristodoulou. Efficient, sparse biological network determination. BMC Systems Biology 2009, 3:25. [3]
  4. E. August and A. Papachristodoulou. A new computational tool for establishing model parameter identifiability. Journal of Computational Biology. June 2009, 16(6): 875-885. [4]
  5. 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. [5]
  6. A. Papachristodoulou and B. Recht. Determining Interconnections in Chemical Reaction Networks. In Proc. of the American Control Conference, 2007. [6]
  7. A. Papachristodoulou and H. El-Samad. Algorithms for Discriminating between Biochemical Reaction Network Models: Towards Systematic Experimental Design. In Proc. of the American Control Conference, 2007. [7]
  8. 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. [8]
  9. H. El-Samad, M. Fazel, X. Liu, A. Papachristodoulou, S. Prajna. Stochastic Reachability Analysis in Complex Biological Networks. In Proc. of the American Control Conference, 2006. [9]
  10. 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.
  11. 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. [10]

Sum of Squares Techniques

  1. M. Peet and A. Papachristodoulou. Inverses of Positive Linear Operators and State Feedback Design for Time-Delay Systems. In Proceedings of the 8th IFAC Workshop on Time Delay Systems, 2009.
  2. A. Papachristodoulou and S. Prajna. Robust stability analysis of nonlinear hybrid systems. IEEE Transactions in Automatic Control. Volume 54, Issue 5, pp. 1037-1043 (2009) [11]
  3. A. Papachristodoulou, M. M. Peet and S. Lall. Analysis of polynomial systems with time delays via the sum of squares decomposition. IEEE Transactions in Automatic Control. Volume 54, Issue 5, 1061-1067 (2009) [12]
  4. 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) [13]
  5. M. M. Peet and A. Papachristodoulou. Using polynomial semi-separable kernels to construct infinite-dimensional Lyapunov functions. In Proc. of the IEEE CDC, 2008.
  6. 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.
  7. M. M. Peet and A. Papachristodoulou. Positivity of Kernel Functions for Systems with Communication Delay. In Proc. of the IEEE CDC, 2007.
  8. M. M. Peet, A. Papachristodoulou, and S. Lall. Positive Forms and Stability of Linear Time-Delay Systems. In Proc. of the IEEE CDC, 2006.
  9. 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.
  10. 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.
  11. A. Papachristodoulou. Robust stabilization of nonlinear time delay systems using convex optimization. In Proc. of the IEEE CDC, 2005.
  12. 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.
  13. A. Papachristodoulou and S. Prajna. Analysis of non-polynomial systems using the sum of squares decomposition. In Positive Polynomials in Control, Springer-Verlag, 2005.
  14. 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.
  15. A. Papachristodoulou. Analysis of nonlinear time delay systems using the sum of squares decomposition. In Proc. of the American Control Conference, 2004.
  16. S. Prajna and A. Papachristodoulou. Analysis of switched and hybrid systems – beyond piecewise quadratic methods. In Proc. of the American Control Conference, 2003.
  17. 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. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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. [14]
  6. 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.
  7. U. Münz, A. Papachristodoulou and F. Allgöwer. Nonlinear Multi-Agent System Consensus with Time-Varying Delays. In Proc. of the IFAC World Congress, 2008.
  8. 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.
  9. 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.
  10. U. Münz, A. Papachristodoulou and F. Allgöwer. Multi-Agent System Consensus in Packet-Switched Networks. Proc. of the European Control Conference, 2007.
  11. A. Papachristodoulou, A. Jadbabaie. Synchronization in Oscillator Networks with Heterogeneous Delays, Switching Topologies and Nonlinear Dynamics. In Proc. of the IEEE CDC, 2006.
  12. A. Papachristodoulou, A. Jadbabaie. Synchronization in Oscillator Networks: Switching Topologies and Non-homogeneous Delays. In Proc. of the IEEE CDC, 2005.
  13. 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.
  14. 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. 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.
  2. 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.
  3. A. Papachristodoulou, S. Prajna and S. Glavaski. Sum of Squares in Industry: An Algorithmic Analysis Approach. Tutorial Session at the American Control Conference, 2005.
  4. 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.
  5. 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.
  6. S. Glavaski, A. Papachristodoulou and K. Ariyur. Computational challenges of controlled hybrid system safety verification. In Hybrid Systems: Computation and Control, Springer-Verlag, 2005.
  7. 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.
  8. 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.


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
  • College Address: St Edmund Hall, Oxford OX1 4AR, U.K.