Carolyn Beck’s research has focused on developing mathematical models that describe a person’s response to anesthesia or other surgical stimuli. These models could then be used to design a partially automated anesthesia delivery process.

# Carolyn L. Beck

## Associate Professor

216B Transportation Building

phone: (217) 244-9714

email: beck3@illinois.edu

## For more information

## Education

- Ph.D. Electrical Engineering, California Institute of Technology, 1997
- M.S. Electrical & Computer Eng., Carnegie Mellon University, 1986
- B.S. Electrical & Computer Eng., (Physics minor), California State Polytechnic University, 1984

## Academic Positions

- Affiliate, University of Illinois, Dept. of Electrical and Computer Engineering, 7/14-present
- Visiting Associate Professor, Royal Institute of Technology, Stockholm, Sweden, Dept. of Electrical Engineering, 4/01/13-7/14/13
- Associate Head for Graduate Studies, University of Illinois, Dept. of Industrial and Enterprise Systems Engineering, 8/06-8/10
- Visiting Associate Professor, Stanford University, Dept. of Aeronautics and Astronautics, 7/05-7/06
- Research Associate Professor, University of Illinois, Coordinated Science Laboratory, 6/04-present
- Associate Professor, University of Illinois, Dept. of Industrial and Enterprise Systems Engineering (formerly General Engineering), 8/16/04-present
- Affiliate, University of Illinois, Dept. of Mechanical Science and Engineering (formerly Mechanical and Industrial Engineering), 8/1/99-present
- Assistant Professor, University of Illinois, Dept. of General Engineering, 8/1/99-8/15/04
- Assistant Professor, University of Pittsburgh, Dept. of Electrical Engineering, 9/96-7/99
- Postdoctoral Associate, Lund Institute of Technology, Automatic Control, Sweden, 1/96-6/96

## Other Professional Employment

- Research and Development Eng., Hewlett-Packard, Santa Clara, CA, 12/85-9/89

## Resident Instruction

- IE 598 Data Clustering and Approximation Methods
- GE 520 Analysis of Nonlinear Systems (also ECE 528/MechSE 546)
- IE 522 Statistical Methods in Finance
- GE 524 Data-Based Modeling and Identification (Formerly GE598CLB/GE493CLB)
- GE 320 Control Systems
- GE 424 State Space Design Methods in Control (Formerly GE323)
- IE 300 Analysis of Data (Formerly Probabilistic Decision Making GE331/GE289)

## Research Interests

- Control systems, modeling and model reduction for the purpose of control, mathematical systems theory; Combinatorial optimization, clustering and data aggregation; Applications in bioengineering, networks and graphs.

## Chapters in Books

- Beck, C.L., S. Salapaka, P. Sharma and Y. Xu. Dynamic Coverage and Clustering: A Maximum Entropy Approach. Proceedings of the LCCC Thematic Workshop on Distributed Decision Making and Control 2010, Springer-Verlag Lecture Notes in Control and Information Sciences. Editors R. Johansson and A. Rantzer. Vol. 417, 215-243, 2012.
- Sharma, P., S. Salapaka, and C. L. Beck. A Scalable Approach to Combinatorial Library Design, Combinatorial Chemical Library Design, Humana-Press, Methods in Molecular Biology Series, Vol. 685, Part 1, 71-89, 2011.
- Beck, C.L., H-H. Lin, and M. Bloom. Modeling and Control of Anesthetic Pharmacodynamics. Biology and Control Theory: Current Challenges, Springer-Verlag Lecture Notes Series. Editors S. Tarbouriech, I. Queinnec, G. Garcia, S. Niculescu, Vol. 357, 263-290, 2007.

## Selected Articles in Journals

- C. Jayaraman, C. L. Beck and J. Sosnoff. Shoulder pain and jerk during recovery phase of manual wheelchair propulsion. Journal of Biomechanics, Vol 48, Issue 14, pages 3937-3944, November 2015.
- E. Kharisov, C. L. Beck, and M. Bloom. Design of L1-Adaptive Controllers for Human Response to Anesthesia. Control Engineering Practice, Vol 44, pages 65-77, November 2015.
- C. L. Beck. Modeling and Control of Pharmacodynamics. European Control Journal, Vol 24, pages 33-49, July 2015.
- D. Katselis, C. Rojas, B. I. Godoy, J. C. Aguero, and C. L. Beck. On the End-Performance Metric Estimator Selection. Automatica, Vol 58, pages 22-27, 2015.
- Farhood, M., and C.L. Beck. On the Balanced Truncation and Coprime Factors Reduction of Markovian Jump Linear Systems, Systems & Control Letters, Volume 64, Pages 96-106, February 2014. DOI: 10.1016/j.sysconle.2013.12.004
- Jiang, C., C. L. Beck and R. Srikant. Bidding with Limited Statistical Knowledge in Online Auctions. ACM SIGMETRICS Performance Evaluation Volume 41 Issue 4, March 2014.
- Xu, Y., S. Salapaka, and C. L. Beck. Clustering and Coverage Control for Systems with Acceleration-Driven Dynamics. IEEE Trans. on Automatic Control, May, 2014, Volume: 59 Issue: 5. DOI: 10.1109/TAC.2013.2292726
- Xu, Yunwen, S. Salapaka, and C. L. Beck. Aggregation of Graph Models and Markov Chains by Deterministic Annealing. IEEE Trans. on Automatic Control, Oct. 2014, Volume:59 Issue:10. DOI: 10.1109/TAC.2014.2319473
- Chandrasekaran, J., Yaejin Moon, I. M. Rice; E. T. Hsiao-Wecksler, C. L Beck, J. Sosnoff. Shoulder pain and cycle to cycle kinematic spatial variability during recovery phase in manual wheelchair users: A pilot investigation, PLoS ONE, March 2014. DOI: 10.1371/journal.pone.0089794.
- Beck, C. L., and R. Srikant. Error Bounds for Constant Step-size Q-learning. Systems & Control Letters, 61(12): 1203-1208, 2012.
- Sharma, P., S. Salapaka, and C. L. Beck. Entropy-based Framework for Dynamic Coverage and Clustering Problems. IEEE Trans. on Automatic Control, 56(1): 135-150, 2012.
- Lakshmikantha, A., R. Srikant and C. L. Beck. Impact of File Arrivals and Departures on Buffer Sizing in Core Routers. IEEE Trans. on Networking, 19(2): 347-58, 2010.
- Lakshmikantha, A., R. Srikant, and C. L. Beck. Differential Equations Models of Flow-size Based Priorities in Internet Routers. International Journal of Systems, Control and Communications. 2(1/2/3): 170-196, 2010.
- Lakshmikantha, A., R. Srikant, N. Dukkipati, N. McKeown and C. L. Beck. Buffer sizing results for RCP congestion control under connection arrivals and departures. ACM SIGCOMM Computer Communication Review, 39(1): 5-15, 2009.
- Sharma, P., S. Salapaka, and C. L. Beck. A Scalable Approach to Combinatorial Library Design for Drug Discovery. Journal of Chemical Information and Modeling, 48(1): 27-41, 2007.
- Beck, C. L. Coprime Factors Reduction Algorithms for Linear Parameter Varying and Uncertain Systems. Systems and Control Letters, 55(3):199-213, 2006.
- Farhood, M. Beck, C.L., and Dullerud, G., Model Reduction of Periodic Systems: A Lifting Approach. Automatica, 41(6):1085-1090, 2005.
- Lakshmikantha, A., C.L. Beck, and R. Srikant, Robustness of Real and Virtual Queue-based Active Queue Management Schemes. IEEE Trans. on Networking, 13(1): 81-93, 2005.
- Lin, H. H., Beck, C. L., and Bloom, M., On the Use of Hybrid Multivariable Models for Predicting Human Response to Anesthesia. IEEE Trans. on Biomedical Engineering, 51(11):1876-1887, 2004.
- Beck, C. L. and R. D'Andrea. Noncomuting Multi-Dimensional System Realization Theory: Minimality, Reachability and Observability. IEEE Trans. On Automatic Control, 49(10):1815-1822, 2004.
- Lall, S. and C. L. Beck. Guaranteed Error Bounds for Model Reduction of Linear Time-Varying Systems. IEEE Trans. on Automatic Control, 48(6):946-956,2003.
- Beck, C. L. On Formal Power Series Representations for Uncertain Systems. IEEE Trans. on Automatic Control, 46(2):314-319, 2001.
- Beck, C. L. and J. Doyle. A Necessary and Sufficient Minimality Condition for Uncertain Systems. IEEE Trans. on Automatic Control, 44(10):1802-1813,1999.
- Bendotti, P. and C. L. Beck. On the Role of LFT Model Reduction Methods in Robust Controller Synthesis for a Pressurized Water Reactor. IEEE Trans. on Controls Systems Technology, 7(3):248-257, 1999.
- Andersson, L., A. Rantzer, and C. L. Beck. Model Comparison and Simplification using IQCs. Int. Journal of Nonlinear and Robust Control, 9(2):157-181,1999.
- Beck, C. L, J. Doyle, and K. Glover. Model Reduction of Multi-Dimensional and Uncertain Systems. IEEE Trans. on Automatic Control, 41(10):1466-1477, 1996.

## Articles in Conference Proceedings

- J. Liu, P. Pare', A. Nedich, C.Y. Tang, C. L. Beck and T. Basar. On the Analysis of a Continuous-Time Bi-Virus Model. Accepted to the IEEE CDC, 2016.
- S. Bhatti, C. L. Beck and A. Nedich. Large Scale Data Clustering and Graph Partitioning via Simulated Mixing. Accepted to the IEEE CDC, 2016.
- M. Baranwal, P. M. Parekh, L. Marla, S. M. Salapaka, and C.L. Beck. Vehicle Routing Problem with Time Windows: A Deterministic Annealing Approach. In Proceedings of the ACC, Boston, MA July 2016.
- D. Katselis and C.L. Beck. Clustering Sparse and Partially Observable Graphs via Nonconvex Optimization. In Proceedings of the ACC, Boston, MA, July 2016.
- D. Katselis and C. L. Beck. Robust Principal Component Analysis via Re-Weighted Minimization Algorithms. Proceedings of the the IEEE CDC, Osaka, Japan, 2015.
- P. Pare', C. L. Beck and A. Nedic. Stability Analysis and Control of Virus Spread over Time-Varying Networks. Proceedings of the IEEE CDC, Osaka, Japan, 2015.
- D. Katselis, C. Rojas and C. L. Beck. Estimator Selection: End-Performance Metric Aspects. In Proceedings of the ACC, Chicago, IL, July 2015.
- P. M. Parekh, D. Katselis, C. L. Beck and S. Salapaka. Deterministic Annealing for Clustering: Tutorial and Computational Aspects. In Proceedings of the ACC, Chicago, IL, July 2015.
- D. Katselis, C.L. Beck and M. van der Schaar. Ensemble Online Clustering through Decentralized Observations. Proceedings of the IEEE CDC, 2014, Los Angeles, California.
- Y. Xu, C.L. Beck and S. Salapaka. Aggregation of Markov Chains: an Analysis of Deterministic Annealing Based Methods. Proceedings of the IEEE Conference on Decision and Control, 2014, Los Angeles, California.
- Xu, Yunwen, S. Salapaka, and C. L. Beck. A Distance Metric between Directed Weighted Graphs. Proceedings of the IEEE CDC, 2013.
- Kharisov, E., C. L. Beck, and M. Bloom. Regulation of Anesthesia Delivery via L1-Adaptive Control. Proceedings, SIAM Conference on Control and Its Applications, San Diego, California, July 8-10, 2013.
- Beck, C.L., and R. Srikant. Improved Upper Bounds on the Expected Error in Constant Step-size Q-Learning. Proceedings of the ACC, Washington DC, June 2013.
- Xu, Y., S. Kim, S. Salapaka, C. L. Beck and T. Coleman. Clustering Large Networks of Parametric Dynamic Generative Models. Proceedings of the IEEE CDC, 2012.
- Kharisov, E., C. L. Beck and M. Bloom. Control of Patient Response to Anesthesia using L1-Adaptive Methods. Proceedings of the 8th Annual IFAC Symposium on Biological and Medical Systems, Budapest, 2012.
- Xu, Y., S. Salapaka, C. L. Beck. On Reduction of Graphs and Markov Chain Models - A Maximum Entropy Principle Approach. Proceedings of the IEEE CDC, Florida, 2011.
- Ralph, M., C. L. Beck, and M. Bloom. L1-Adaptive Methods for Control of Patient Response to Anesthesia. Proceedings of the ACC, California, 2011.
- Xu, Y., S. Salapaka, C. L. Beck. Dynamic Maximum Entropy Algorithms for Clustering and Coverage Control. Proceedings of the IEEE CDC, Georgia, 2010.
- Beck, C. L., S. Lall, T. Liang and M. West. Model reduction, optimal prediction, and the Mori-Zwanzig representation of Markov chains, Proceedings of the IEEE CDC, Shanghai, China 2009.
- Lakshmikantha, A., R. Srikant and C. L. Beck. Impact of file arrivals and departures on buffer sizing in core routers. Proceedings, IEEE INFOCOM, Arizona, 2008.
- Sharma, P., S. Salapaka, and C. L. Beck. Entropy-based Algorithm for Combinatorial Optimization Problems with Mobile Sites and Resources. Proceedings of the ACC, Washington, 2008.
- Lin, H. H., C. L. Beck, and M. Bloom. Linear parameter-varying control of anesthesia delivery. Proceedings of the ACC, Washington, 2008.
- Sharma, P., S. Salapaka, and C. L. Beck. A Minimum Entropy Based Scalable Algorithm for Resource Allocation Problems. Proceedings of the ACC, New York, 2007.
- Lakshmikantha, A., R. Srikant, and C. L. Beck. Analysis of SIFT-like Algorithms via Fluid Models. Proceedings of the IEEE CDC, California, 2006.
- Sharma, P., S. Salapaka, and C. L. Beck. A Scalable Deterministic Annealing Algorithm for Resource Allocation Problems. Proceedings of the ACC, Minnesota, June 2006.
- Lakshmikanta, A., C.L. Beck and R. Srikant. On the Use of SoS Methods for Analysis of Connection-Level Stability in the Internet. Proceedings of the ACC, Oregon, June 2005.
- Lakshmikantha, A., C.L. Beck and R. Srikant. Performance Analysis of Priority Queueing Schemes in Internet Routers. Proceedings, CISS, March 2005.
- Sharma, P., S. Salapaka, and C. L. Beck. A Deterministic Annealing Approach to Combinatorial Library Design for Drug Discovery. Proceedings of the ACC, Oregon, June 2005.
- Sivakumar, S. and C. L. Beck. MRedTool – A MATLAB Toolbox for Model Reduction of Multi-Dimensional Systems. Proceedings of the IEEE CDC, Bahamas, December 2004.
- Sharma, P. and C. L. Beck. Modelling and Distributed Control of Mobile Offshore Bases. Proceedings of the ACC, Massachusetts, June 2004.
- Lakshmikantha, L., C. L. Beck and R. Srikant. Connection Level Stability Analysis of the Internet using the Sum-of-Squares Technique. Proceedings of the Conference on Information Sciences and Systems (CISS), New Jersey, March 2004.
- Farhood, M., C. L. Beck and G. E. Dullerud. Model Reduction of Stabilizable Nonstationary LPV Models. Proceedings of the IEEE CDC, Hawaii, December 2003.
- Samar, S. and C. L. Beck. Model Reduction of Heterogeneous Distributed Systems. Proceedings of the IEEE CDC, Hawaii, December 2003.
- Samar, S. and C. L. Beck. Model Reduction of Spatially Invariant Array Systems. Proceedings of the IEEE CDC, Hawaii, December 2003.
- Farhood, M., C. L. Beck, and G. E. Dullerud,. On the Model Reduction of Non-Stationary LPV Systems. Proceedings of the ACC, Colorado, June 2003.
- Lakshmikantha, A., R. Srikant, and C. L. Beck. Robustness of Real and Virtual Queue-based Active Queue Management Schemes. Proceedings of the ACC, Colorado, June 2003.
- Farhood, M., C. L. Beck, and G. E. Dullerud. Model Reduction of Non-Stationary LPV Systems. Proceedings of the IEEE CDC, Nevada, December 2002.
- Lin, H. H., C. L. Beck, M. Bloom and J. Chudoung. On the Use of Hybrid Multivariable Models for Predicting Human Response to Anesthesia. Proceedings of the IEEE CDC, Nevada, December 2002.
- Chudoung, J. and C. L. Beck. Necessary and Sufficient Conditions for Optimality of a Switching Control Problem. Proceedings of the ACC, Anchorage, AL 2002.
- Mahboobin, A. C. L. Beck, M. Moeinzadeh and P. Laughlin. Analysis and Validation of a Human Postural Control Model. Proceedings of the ACC, Anchorage, AL 2002.
- Chudoung, J. and C. L. Beck. Improved Model Reduction Conditions for Uncertain Systems. Proceedings, SIAM Control Conference, California, July 2001.
- Chudoung, J. and C. L. Beck. The Minimum Principle for Deterministic Impulsive Control Systems. Proceedings of the IEEE CDC, Florida, December 2001.
- Lin, H. H., C. L. Beck, J. Nedumgottil, and M. Bloom. Investigation of Multivariable Models for Human Response to Anesthesia. Proceedings of the IEEE CDC, Florida, December 2001.
- Beck, C. L, R. Smith, H.H. Lin, and M. Bloom. On the Application of System Identification and Model Validation Methods for Constructing Multivariable Anesthesia Response Models. Proceedings, IEEE Conference on Control Applications, Alaska, September 2000.
- D'Andrea, R., C. L. Beck, and G. Dullerud. Temporal Discretization of Spatially Distributed Systems. Proceedings of the IEEE CDC, Arizona, December 1999.
- Beck, C. L. and R. D'Andrea. Simplification of Spatially Distributed Systems. Proceedings of the IEEE CDC, Arizona, December 1999.
- Lall, S. and C. L. Beck. Model Reduction Algorithms for Time-Varying and Uncertain Systems. Proceedings of the IEEE Computer Aided Control System Design (CACSD) Conference, Hawaii, August 1999.
- Lall, S., C. L. Beck, and G. E. Dullerud. Guaranteed Error Bounds for Model Reduction of Linear Time-Varying Systems. Proceedings of the ACC, Philadelphia, PA 1998.
- Beck, C. L. and R. D'Andrea. Computational Study and Comparisons of LFT Reducibility Methods. Proceedings of the ACC, Philadelphia, PA 1998.
- Beck, C. L. and S. Lall. Model Reduction Error Bounds for Linear Time-Varying Systems. Mathematical Theory of Networks and Systems (MTNS) conference, Padova, Italy, July 1998.
- Beck, C. L. and R. D'Andrea. Minimality, Controllability and Observability for Uncertain Systems. Proceedings of the ACC, Albuquerque, NM 1997.
- Beck, C. L. and P. Bendotti. Model Reduction of Unstable Uncertain Systems. Proceedings of the IEEE CDC, San Diego, CA 1997.
- Bendotti, P. and C. L. Beck. Modelling and Control of a Pressurized Water Reactor using μ Synthesis Techniques. Proceedings IFAC, 13th World Congress, San Francisco, CA 1996.
- Beck, C. L, W. M. Lu, F. Paganini, R. D'Andrea, and J. Doyle. A State-Space Theory of Uncertain Systems. Proceedings IFAC, 13th World Congress, San Francisco, CA 1996.
- Bendotti, P. and C. L. Beck. LFT Model Reduction and Controller Synthesis for a Pressurized Water Reactor. Proceedings of the IEEE CDC, Kobe, Japan 1996.
- Anderson, L.A., and C. L. Beck. Model Comparison and Simplification. Proceedings of the IEEE CDC, Kobe, Japan 1996.
- Beck, C. L. and J. Doyle. Realizations of Uncertain Systems and Formal Power Series. Proceedings of the American Control Conference (ACC), Seattle, WA 1995.
- Beck, C. L, B. Bodenheimer, and P. Bendotti. LMI-Based Model Reduction for a Vectored-Thrust Ducted Fan Experiment. Proceedings of the IEEE CDC, New Orleans, LA 1995.
- Beck, C. L. Minimality for Uncertain Systems and IQCs. Proceedings of the IEEE CDC, Orlando, FL 1994.
- Beck, C. L. and J. Doyle. Mixed mu Upper Bound Computation Using LMI Optimization. Proceedings of the IEEE CDC, Tucson, AZ 1992.
- Wang, W., J. Doyle, C. L. Beck, and K. Glover. Model Reduction of LFT Systems. Proceedings of the IEEE CDC, Brighton, England 1991.
- Beck, C. L. Computational Issues in Solving LMIs. Proceedings of the IEEE Conference on Decision and Control (CDC), Brighton, England 1991.
- Beck, C. L. and B. H. Krogh. Models for Simulation and Discrete Control of Manufacturing Systems. Proceedings, IEEE International Conference on Robotics and Automation, San Francisco, CA 1986.
- Krogh, B. H. and C. L. Beck. Synthesis of Place/Transition Nets for Simulation and Control of Manufacturing Systems. Proceedings of 4th IFAC/IFORS Symposium on Large Scale Systems: (Theory and Applications), Zurich, 1986.
- Krogh, B. H. and C. L. Beck. Modified Petri Nets for Hierarchical Simulation and Control of Manufacturing Systems. Proceedings, 23rd Annual Allerton Conference on Communication, Control and Computing, 1985.

## Teaching Honors

- The Sharp Outstanding Teaching Award in Industrial Engineering (2015)
- List of Teachers Rated Excellent: GE 424-State Space Design Methods in Control (Fall 2011)
- List of Teachers Rated Excellent: GE 524-Data Based Modeling and Identification (Fall 2009)
- Accenture Outstanding Advisor Award (2004 and 2005)

## Research Honors

- Semi-Plenary Speaker: European Control Conference (2015)
- Semi-Plenary Speaker: Mathematical Theory of Networks and Systems (2014)
- ONR Young Investigator Award (2001-04)
- NSF CAREER Award (1998-2003)
- ORAU Junior Faculty Award (1997)
- Alcoa Foundation Award (1997)

## Courses Taught

- GE 320 - Control Systems
- GE 424 - State Space Design for Control
- GE 524 - Data-Based Systems Modeling
- IE 529 - Stats of Big Data & Clustering
- IE 598 - Clustering and Approx Methods