# Alexandre M. Bayen

## Recent Publications

**Journal Papers**

• Claudel, C. and A. Bayen, "Convex Formulations of Data Assimilation Problems for a Class of Hamilton-Jacobi Equations," *SIAM Journal on Optimization and Control*, March 2011, Vol. 49(2), pp. 383-402, doi: 10.1137/090778754.

• Blandin, S., D. Work, P. Goatin, B. Piccoli and A. Bayen, "A General Phase Transition Model for Vehicular Traffic," *SIAM Journal on Applied Mathematics*, February 2011, Vol. 71(1), pp. 107-127, doi: 10.1137/090754467.

• Sun, D. and A. Bayen, "A Dual Decomposition Method for Sector Capacity Constrained Traffic Flow Optimization," *Transportation Research B*, 2011, Vol. 45(6), pp. 880-902, doi: 10.1016/j.trb.2011.03.004.

• Tinka, A., I. Strub, Q. Wu and A. Bayen, "Quadratic Programming Based Data Assimilation with Passive Drifting Sensors for Shallow Water Flows," *International Journal of Control*, August 2010, Vol. 83(6), pp. 1686-1700, doi: 10.1080/00207179.2010.489621.

• Claudel, C. and A. Bayen, "Lax-Hopf Based Incorporation of Internal Boundary Conditions into Hamilton-Jacobi Equation. Part I: Theory," *IEEE Transactions on Automatic Control*, May 2010, 55(5), pp. 1142-1157, doi: 10.1109/TAC.2010.2041976.

• Claudel, C. and A. Bayen, "Lax-Hopf Based Incorporation of Internal Boundary Conditions into Hamilton-Jacobi Equation. Part II: Computational Methods," *IEEE Transactions on Automatic Control*, May 2010, Vol. 55(5), pp. 1158-1174, doi: 10.1109/TAC.2010.2045439.

• Herrera, J.-C and A. Bayen, "Incorporation of Lagrangian Measurements in Freeway Traffic State Estimation," *Transportation Research B*, May 2010, Vol. 44(4), pp. 160-481, doi: 10.1016/j.trb.2009.10.005.

• Work, D., S. Blandin, O.-P. Tossavainen, B. Piccoli and A. Bayen, "A Distributed Highway Velocity Model for Traffic State Reconstruction," *Applied Mathematics Research eXpress (AMRX)*, April 2010, 2010(1), pp. 1-35, doi: 10.1093/amrx/abq002.

• Herrera, J.-C, D. Work, X. Ban, R. Herring, Q. Jacobson and A. Bayen, "Evaluation of Traffic Data Obtained via GPS-Enabled Mobile Phones: The Mobile Century Field Experiment," *Transportation Research C*, 2010, Vol. 18, pp. 568-583, doi: 10.1016/j.trc.2009.10.006.

• Strub, I., J. Percelay, O.P. Tossavainen and A. Bayen, "Comparison of Two Data Assimilation Algorithms for Shallow Water Flows," *Networks and Heterogeneous Media*, June 2009, Vol. 4, No. 2, pp. 409-430, doi: 10.3934/nhm.2009.4.409.

• Strub, I., J. Percelay, M. Stacey and A. Bayen, "Inverse Estimation of Open Boundary Conditions in Tidal Channels," *Ocean Modeling*, March 2009, Vol. 29, No. 1, pp. 85-93, doi: 10.1016/j.ocemod.2009.03.002.

• Wu, Q., X. Litrico and A. Bayen, "Data Reconciliation of an Open Channel Flow Network Using Modal Decomposition," *Advances in Water Resources*, 2009, Vol. 32, No. 2, pp. 193-204, doi: 10.1016/j.advwatres.2008.10.009.

• Labaton, E. and A. Bayen, "Modeling and Optimization Analysis of a Single-Flagellum Micro-Structure Through the Method of Regularized Stokeslets," *IEEE Transactions on Control Systems Technology*, 2009, doi: 10.1109/TCST.2008.2011889.

• Rabbani, T., F. Di Meglio, X. Litrico and A. Bayen, "Feed-Forward Control of Open Channel Flow Using Differential Flatness," *IEEE Transactions on Control Systems Technology*, 2009, doi: 10.1109/TCST.2009.2014640.

• Rabbani, T., S. Munier, D. Dorchies, P.O. Malaterre, A. Bayen and X. Litrico, "Flatness-Based Control of an Irrigation Canal Using SCADA," *IEEE Controls Systems Magazine*, 2009, doi: 10.1109/MCS.2009.933524.

• Ban, J., R. Herring, P. Hao and A. Bayen, "Delay Pattern Estimation for Signalized Intersections Using Sampled Travel Times," Transportation Research Record, 2009, No. 2130, pp. 109-119, doi: 10.3141/2130-14.

• Oishi, M., I. Mitchell, A. Bayen and C. Tomlin, "Invariance-Preserving Abstractions of Hybrid Systems: Application to User-Interface Design," *IEEE Transactions on Control Systems Technology*, March 2008, Vol. 16, No. 2, pp. 229-244, doi: 10.1109/TCST.2007.903370.

• Aubin, J.P., A. Bayen and P. Saint-Pierre, "Dirichlet Problems for Some Hamilton-Jacobi Equations with Inequality Constraints," *SIAM Journal on Control and Optimization*, 2008, Vol. 47, No. 5, pp. 2348-2380, doi: 10.1137/060659569.

• Work, D. and A. Bayen, "Convex Formulations of Air Traffic Flow Optimization Problems," *Proceedings of the IEEE*, 2008, Vol 96, No. 12, pp. 2096-2112, doi: 10.1109/JPROC.2008.2006150.

• Bayen, A., I. Mitchell, M. Oishi and C. Tomlin, "Aircraft Autolander Safety Through Optimal Control Based Reach Set Computation," *AIAA Journal on Guidance, Control and Dynamics*, January 2007, Vol. 30, No. 1, pp. 68-77, doi: 10.2514/1.21562.

• Sun, D., I. Strub and A. Bayen, "Comparison of the Performance of Four Eulerian Network Flow Models for Strategic Air Traffic Management," *Networks and Heterogeneous Media*, 2007, Vol. 2, No. 4, pp. 569-594, doi: 10.3934/nhm.2009.2.569.

• Sun, D. and A. Bayen, "Multicommodity Eulerian-Lagrangian Large-Capacity Cell Transmission Model for Enroute Traffic," *AIAA Journal of Guidance, Control and Dynamics*, 2007, Vol. 31, No. 3, pp. 616-628, doi: 10.2514/1.31717.

• Strub, I. and A. Bayen, "Weak Formulation of Boundary Conditions for Scalar Conservation Laws: An Application to Highway Modeling," *International Journal on Robust and Nonlinear Control*, November 2006, Vol. 16, No. 16, pp. 733-748, doi: 10.1002/rnc.1099.

• Bayen, A., R. Raffard and C. Tomlin, "Adjoint-Based Control of a New Eulerian Network Model of Air Traffic Flow," *IEEE Transactions on Control Systems Technology*, September 2006, Vol. 14, No. 5, pp. 804-818, doi: 10.1109/TCST.2006.876904.

**Conference Papers**

• Rafiee, M., A. Tinka, J. Thai and A. Bayen, "Combined State-Parameter Estimation for Shallow Water Equations," *2011 American Control Conference*, San Francisco, CA, June 2011.

• Weekly, K., L. Anderson, A. Tinka and A. Bayen, "Autonomous River Navigation using the Hamilton-Jacobi Framework for Underactuated Vehicles," *IEEE Conference on Robotics and Automation (ICRA)*, Shanghai, China, May 2011, Paper 1676, pp. 828-833.

• Rafiee, M. and A. Bayen, "Optimal Network Topology Design in Multi-Agent Systems for Efficient Average Consensus," *49th IEEE Conference on Decision and Control*, Atlanta, GA, December 2010, pp. 3877-3883, doi: 10.1109/CDC.2010.5717719.

• Blandin, S., X. Litrico and A. M. Bayen, "Boundary Stabilization of the Inviscid Burgers Equation Using a Lyapunov Method," *49th IEEE Conference on Decision and Control* Atlanta, GA, December 2010, pp. 1705-1712, doi: 10.1109/CDC.2010.5717716.

• Herring, R., A. Hofleitner, P. Abbeel and A. Bayen, "Estimating Arterial Traffic Conditions Using Sparse Probe Data," *13th International IEEE Conference on Intelligent Transportation Systems,*Madeira Island, Portugal, September 2010.

• Claudel, C. and A. Bayen, "Linear and Quadratic Programming Formulations of Data Assimilation or Data Reconciliation Problems for a Class of Hamilton-Jacobi Equations," *American Control Conference*, Baltimore, MD, June 2010.

• Amin, S., X. Litrico, S. Sastry and A. Bayen, "Stealthy Deception Attacks on Water SCADA Systems," *13th ACM International Conference on Hybrid Systems: Computation and Control*, CPS Week, Stockholm, April 2010, pp. 161-170, doi: acm.org/10.1145/1755952.1755976.

• Herring, R., A. Hofleitner, S. Amin, T. Nasr, A. Khalek, P. Abbeel and A. Bayen, "Using Mobile Phones to Forecast Arterial Traffic Through Statistical Learning," *89th Transportation Research Board Annual Meeting*, Washington D.C., January 2010.

• Blandin, S., D. Work, P. Goatin, B. Piccoli and A. Bayen, "A Class of Perturbed Cell Transmission Models to Account forTraffic Variability," *89th Transportation Research Board Annual Meeting*, Washington D.C., January 2010.

• Jariyasunant, J., D. Work, B. Kerkez, R. Sengupta, S. Glaser and A. Bayen, "Mobile Transit Trip Planning with Real-Time Data," *89th Transportation Research Board Annual Meeting*, Washington, D.C., January 2010.

• Blandin, S., L. El Ghaoui and A. Bayen, "Kernel Regression for Travel-Time Estimation Via Convex Optimization," *2009 IEEE Conference on Decision and Control*, Shanghai, China, December 2009.

• Wu, Q., M. Rafiee, A. Tinka and A. Bayen, "Inverse Modeling for Open Boundary Conditions in Channel Network," *2009 IEEE Conference on Decision and Control*, Shanghai, China, December 2009.

• Tinka, A., I. Strub, Q. Wu and A. Bayen, "Quadratic Programming Based Data Assimilation with Passive Drifting Sensors for Shallow Water Flows," *2009 IEEE Conference on Decision and Control*, Shanghai, China, December 2009.

• Rafiee, M., Q. Wu and A. Bayen, "Kalman Filter Based Estimation of Flow States in Open Channels Using Lagrangian Sensing," *2009 IEEE Conference on Decision and Control*, Shanghai, China, December 2009.

• Aubin, J.P., A. Bayen and P. Saint-Pierre, "Dirichlet Problems for Some Hamilton-Jacobi Equations with Inequality Constraints," *2009 IEEE Conference on Decision and Control*, Shanghai, China, December 2009.

• Hunter, T., R. Herring, P. Abbeel and A. Bayen, "Path and Travel Time Inference from GPS Probe Vehicle Data," *Neural Information Processing Systems Foundation (NIPS)*, Vancouver, Canada, December 2009.

• Claudel, C. and A. Bayen, "Kernel Regression for Travel-Time Estimation Via Convex Optimization," *2009 Allerton Conference on Communication and Control*, September 2009.

• Ban, X., R. Herring, J.D. Margulici and a, "Optimal Sensor Placement for Freeway Travel Time Estimation," *18th International Symposium on Transportation and Traffic Theory (ISTTT)*, July 2009.

• Blandin, S., D. Work, P. Goatin, B. Piccoli and A. Bayen, "A General Phase Transition Model for Vehicular Traffic," *2009 IFAC Workshop on Control of Distributed Parameter Systems*, July 2009.

• Tinka, A., S. Diemer, L. Madureira, E. Marques, J. Sousa, R. Martins, J. Pinto, J. Silva, A. Sousa, P. Saint-Pierre and A. Bayen, "Viability-Based Computation of Spatially Constrained Minimum Time Trajectories for an Autonomous Underwater Vehicle: Implementation and Experiments," *Proceedings of the 2009 American Control Conference*, St. Louis, MO, June 2009.

• Work, D., O.P. Tossavainen, Q. Jacobson and A. Bayen, "Lagrangian Sensing: Traffic Estimation with Mobile Devices," *Proceedings of the 2009 American Control Conference*, St. Louis, MO, June 2009.

• Ban X., R. Herring, A. Bayen and P. Hao, "Delay Pattern Estimation for Signalized Intersections Using Sampled Travel Times," *Proceedings of the Transportation Research Board*, Washington,D.C., January 2009.

• Claudel, C., A. Hofleitner, N. Mignerey and A. Bayen, "Guaranteed Bounds on Highway Travel Times Using Probe and Fixed Data," *88th Transportation Research Board Annual Meeting*, Washington D.C., January 2009.

• Wu, Q., X. Litrico and A. Bayen, "Data Reconciliation of an Open Channel Flow Network Using Modal Decomposition," *47th IEEE Conference on Decision and Control*, Cancun, Mexico, December 2008, pp. 3903-3910.

• Work, D. and A. Bayen, "Convex Formulations of Aggregate Network Air Traffic Flow Optimization Problems," *47th IEEE Conference on Decision and Control*, Cancun, Mexico, December 2008, pp. 2141-2147, doi: 10.1109/CDC.2008.4739033.

• Di Meglio, F., T. Rabbani, X. Litrico and A. Bayen, "Feed-Forward River Flow Control Using Differential Flatness," *47th IEEE Conference on Decision and Control*,, December 2008, pp. 3895-3902.

• Amin, S., F. Hante and A. Bayen, "Stability Analysis of Linear Hyperbolic Systems with Switching Parameters and Boundary Conditions," *47th IEEE Conference on Decision and Control*, Cancun, Mexico, December 2008, pp. 2081-2086.

• Tossavainen, O.P., J. Percelay, A. Tinka, Q. Wu and A Bayen, "Ensemble Kalman Filter Based State Estimation in 2D Shallow Water Equations Using Lagrangian Sensing and State Augmentation," *47th IEEE Conference on Decision and Control*, Cancun, Mexico, December 2008, pp. 1783-1790.

• Work, D., O.P. Tossavainen, S. Blandin, A. Bayen T. Iwuchukwu and K. Tracton, "An Ensemble Kalman Filtering Approach to Highway Traffic Estimation Using GPS Enabled Mobile Devices," *47th IEEE Conference on Decision and Control*, Cancun, Mexico, December 2008, pp. 5062-5068, doi: 10.1109-CDC.2008.4738999.

• Amin, S., et al., "Mobile Century- Using GPS Mobile Phones as Traffic Sensors: A Field Experiment," *15th World Congress on Intelligent Transportation Systems*, New York, NY, November 2008.

• Claudel, C. and A. Bayen, "Guaranteed Bounds for Traffic Flow Parameters Estimation Using Mixed Lagrangian-Eulerian Sensing," *46th Annual Allerton Conference on Communication, Control and Computing*, Allerton, IL, September 2008.

• Hoffman, R., D. Sun, A. Clinet, S. Augustine, J. Burke, R. Viswanathan and A. Bayen, "Integration of an Aggregate Flow Model with a Traffic Flow Simulator," *AIAA Conference on Guidance, Control and Dynamics*, Honolulu, HI, August 2008, AIAA Paper 2008-6325.

• Hoh, B., M. Gruteser, R. Herring, J. Ban, D. Work, J.C. Herrera, A. Bayen, M. Annavaram and Q. Jacobson, "Virtual Trip Lines for Distributed Privacy Preserving Traffic Monitoring," *Mobile Systems and Applications (MOBISYS)*, June 2008, doi: 10.1145/1378600.1378604 [AR 18%].

• Amin, S., F. Hante and A. Bayen, "On Stability of Switched Linear Hyperbolic Conservation Laws with Reflecting Boundaries," *Proceedings, Hybrid Systems: Computation and Control* (M. Egerstedt and B. Mishra, Eds.), Lecture Notes in Computer Science 4981, Springer-Verlag, March 2008, pp. 602-605.

• Claudel, C. and A. Bayen, "Solutions to Switched Linear Hyperbolic Conservation Laws with Reflecting Boundaries," *Proceedings, Hybrid Systems: Computation and Control* (M. Egerstedt and B. Mishra, Eds.), Lecture Notes in Computer Science 4981, Springer-Verlag, March 2008, pp. 101-115.

• Wu, Q., S. Amin, S. Munier, A. Bayen, X. Litrico and G. Belaud, "Parameter Identification for the Shallow Water Equations Using Modal Decomposition," *46th IEEE Conference on Decision and Control*, New Orleans, LA, December 2007, pp. 1584-1590.

• Amin, S., A. Bayen, L. El Ghaoui and S. Sastry, "Robust Feasibility for Control of Water Flow in a Reservoircanal System," *IEEE Conference on Decision and Control*, New Orleans, LA, December 2007, pp. 1571-1577.

• Bayen, A., C. Claudel and P. Saint-Pierre, "Computation of Solutions to the Moskowitz Hamilton-Jacobi-Bellman Equation Under Viability Constraints," *46th IEEE Conference on Decision and Control*, New Orleans, LA, December 2007, pp. 4737-4742.

• Herrera, J.C. and A. Bayen, "Traffic Flow Reconstruction Using Mobile Sensors and Loop Detector Data," *87th Transportation Research Board Annual Meeting *, Washington, DC, November 2007.

• Pannequin, J., A. Bayen, H. Chung, I. Mitchell and S. Sastry, "Multiple Aircraft Deconflicted Path Planning with Weather Avoidance Constraints," *AIAA Conference on Guidance, Control and Dynamics*, Hilton Head, SC, August 2007, AIAA- 2007-6588.

• Martinez, S., G. Chatterji, D. Sun and A. Bayen, "A Weighted Graph Approach for Dynamic Airspace Configuration," *AIAA Conference on Guidance, Control and Dynamics*, Hilton Head, SC, August 2007, AIAA-2007-6448.

• Lobaton, E. and A. Bayen, "Modeling and Optimization Analysis of a Single Flagellum Bacterial Motion," *Proceedings of the July 2007 American Control Conference*, New York, NY, July 2007, pp. 455-461.

• Scacchioli, A., A. Bayen and B. Stojadinovic, "Quality of Hybrid Simulation: A Reachability Analysis Approach," *18th Engineering Mechanics Division Conference *, June 2007.

• Bayen, A., C. Claudel and P. Saint-Pierre, "Viability-Based Computations of Solutions to the Hamilton-Jacobi-Bellman Equation," *Proceedings, Hybrid Systems: Computation and Control* (A. Bemporad, A. Bicchi, G. Buttazzo, Eds.), Lecture Notes in Computer Sciences, March 2007, Vol. 4416, pp. 645-649.

• Strub, I. and A. Bayen, "Continuous Adjoint Methods for Air Traffic Flow Management," *Proceedings, 45th IEEE Conference on Decision and Control*, San Diego, CA, December 2006, pp. 101-106.

• Strub, I. and A. Bayen, "Optimal and Control of Air Traffic Networks Using Continuous Flow Models," *Proceedings of the AIAA Conference on Guidance, Control and Dynamics, Conference and Exhibit,* Keystone, CO, August 2006, AIAA Paper 2006-6228.

• Sun, D., S. Yang, I. Strub, A. Bayen, B. Sridhar and K. Sheth, "Eulerian Trilogy," *Proceedings of the AIAA Conference on Guidance, Control and Dynamics*, Keystone, CO, August 2006, AIAA Paper 2006-6227.

• Robelin, C-A., D. Sun, G. Wu and A. Bayen, "MILP Control of Aggregate Eulerian Network Airspace Models," *Proceedings of the 2006 American Control Conference*, Minneapolis, MN, June 2006, pp. 5257-5262.

• Strub, I and A. Bayen, "Mixed Initial-boundary Value Problems for Scalar Conservation Laws: Application to the Modeling of Transportation Networks," *Proceedings, Hybrid Systems: Computation and Cotnrol* (J. Hespanha, A. Tiwari, Eds), Lecture Notes in Computer Science 3927, Springer-Verlag, March 2006, pp. 552-567.

**Technical Reports**

• Dashti, S., J. Reilly, J. D. Bray, A. Bayen and S. Glaser and M. Ervasti, *iShake: Using Personal Devices to Deliver Rapid Semi-Qualitative Earthquake Shaking Information,* USGS Award G10AP00006 Technical Report, UC Berkeley,, February 2011.

• Hofleitner, A., R. Herring and A. Bayen, *A Hydrodynamic Theory Based Statistical Model of Arterial Traffic,* Technical Report UC Berkeley, UCB-ITS-CWP-2011-2, January 2011.

• A. Bayen, J.C. Herrera, D. Work, R. Herring, X. Ban, Q. Jacobson and J. Butler, *Mobile Century: Using GPS Mobile Phones as Traffic Sensors: A Field Experiment*, CCIT Research Report, UC Berkeley, Institute of Transportation Studies (ITS), UCB-ITS-CWP-2010-4, ISSN 1557-2269, 2010.

• Herrera, J.C., S. Amin, A. Bayen, S. Madanat, M. Zhang, Y. Nie, Z. Qian, Y. Lou, Y. Yin and M. Li, *Dynamic Estimation of OD Matrices for Freeways and Arterials,* Technical Report, Institute for Transportation Studies, UC Berkeley, 2007.

• Aubin, J-P., A. Bayen and P. Saint-Pierre, *Dirichlet Problems for some Hamilton-Jacobi Equations with Inequality Constraints,* Preprint di Matematica, Scuola Normale Superiore, Pisa, Italy, May 2006, No. 4, pp. 36.

**Other Publications**

• Piette, M.A., M. Sohn, A. Gadgil and A. Bayen, "Improved Power Grid Stability and Efficiency with a Building-Energy Cyber-Physical System," *Proceedings, National Workshop on Research Directions for Future Cyber-Physical Systems*, Baltimore, MD, June 2009.

• Bastin, G., A. Bayen, C. D'Apice, X. Litrico and B. Piccoli, "Open Problems and Research Perspectives for Irrigation Channels," *Proceedings, Networks and Heterogeneous Media*, January 2009, Vol. 4, No. 2, pp. i-v, doi: 10.3934/nhm.2009.4.2i.

• Work, D. and A. Bayen, "Impacts of the Mobile Internet on Transportation Cyberphysical Systems: Traffic Monitoring Using Smartphones," *Proceedings, National Workshop for Research on High-Confidence Transportation Cyber-Physical Systems: Automotive, Aviation and Rail*, Washington, DC, November 2008.

• Work, D., A. Bayen and Q. Jacobson, "Automotive Cyber Physical Systems in the Context of Human Mobility," *Proceedings, National Workshop on High-Confidence Augomotive Cyber-Physical Systems*, Troy, MI, April 2008.

• Sun, D. and A. Bayen, "Modeling and Strategic Flow Management Using Dual Decomposition Method," *Proceedings, INFORMS Annual Meeting*, November 2007.

• Bayen, A., "Control and Optimization of Distributed Parameter Systems," Course Reader, August 2007.

• Bayen, A., "CE 191" Course Reader, August 2006.