# 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, 12/1985-9/1989

## Resident Instruction

- IE 598 Data Clustering and Approximation Methods
- IE 529 Statistics of Big Data and Clustering
- SE 520 Analysis of Nonlinear Systems (also ECE 528/MechSE 546)
- SE 524 Data-Based Modeling and Identification (System identification)
- SE 424 State Space Design Methods in Control
- SE 320 Control Systems
- IE 300 Analysis of Data

## Research Interests

- Control and optimization; Dimensionality reduction; Dynamic data clustering and aggregation; Network inference; Distributed optimization; Modeling and model reduction for the purpose of control and system analysis; Mathematical systems theory; 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

- T. T. Doan, S. Bose, D. H. Nguyen and C.L. Beck. Convergence of the Iterates in Mirror Descent Methods. To appear, IEEE Control Systems Letters, Vol 3, Issue 1; DOI: 10.1109/LCSYS.2018.2854889, 2019.
- P. Pare', J. Liu, C. L. Beck, B. Kirwan, T. Basar. Analysis, Estimation and Validation of Discrete-time Epidemic Processes. Accepted to IEEE Transactions on Control System Technology, DOI: 10.1109/TCST.2018.2869369, 2018.
- J. Liu, P. Pare', A. Nedic, C. Y. Tang, C. L. Beck and T. Basar. Analysis and Control of a Continuous-time Bi-Virus Model. Conditionally accepted to IEEE Transactions on Automatic Control, 2018.
- D. Katselis, C. Beck and R. Srikant. Mixing Times and Structural Inference for Bernoulli Autoregressive Processes. Accepted to the IEEE Transactions on Network Science and Engineering, 2018 (Longer version available at https://arxiv.org/pdf/1612.06061.pdf).
- S. Bhatti, C. L. Beck and A. Nedich. Data Clustering and Graph Partitioning via Simulated Mixing. Accepted to IEEE Transactions on Network Science and Engineering, 2018 (Preliminary version available at https://arxiv.org/abs/1603.04918).
- T. Doan, C. L. Beck and R. Srikant. On the Convergence Rate of Distributed Gradient Methods for Finite Sum Optimization Under Communication Delays. Proceedings of the ACM on Measurement and Analysis of Computing Systems - SIGMETRICS: Volume 1 Issue 2, December 2017.
- P. Pare', C. L. Beck and A. Nedich. Epidemic Processes over Time-Varying Networks. Accepted to IEEE Transactions on Control of Network Systems, 2017. DOI: 10.1109/TCNS.2017.2706138. (Preliminary version also available at https://arxiv.org/pdf/1609.05128.pdf).
- 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 (Preliminary version available at https://arxiv.org/abs/1507.07238).
- 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

- Thinh T. Doan, Joseph Lubars, Carolyn L. Beck, R. Srikant. Convergence Rate of Distributed Random Projections. Proceedings of the 7th IFAC Workshop on Distributed Estimation and Control in Networked Systems (NecSys), August 2018.
- L. Buccafusca and C. L. Beck. Maximizing Power in Wind Turbine Arrays with Variable Wind Dynamics. Accepted to IEEE Conference on Decision and Control, 2018.
- Philip E. Pare, Ji Liu, Carolyn L. Beck, Tamer Basar. A Coupled Bi-Virus Spread Model in Networked Systems. In the Proceedings of the ACC, 2018.
- Thinh T. Doan, Carolyn L. Beck, R Srikant. Convergence Rate of Distributed Subgradient Methods under Communication Delays. In the Proceedings of the ACC, 2018.
- Philip E. Pare, B. Kirwan, J. Liu, T. Basar, C. L. Beck. Discrete-Time Spread Processes: Analysis, Identification, and Validation. In the Proceedings of the ACC, 2018.
- Ji Liu, Philip E. Pare', Angelia Nedich, Carolyn L. Beck, Tamer Basar. On a Continuous-Time Multi-Group Bi-Virus Model with Human Awareness. Proceedings of the IEEE CDC, Melbourne, Australia, 2017.
- S. T. Kong, D. Katselis, C. L. Beck and R Srikant. Structure Identification in Layered Precedence Networks. In the Proceedings of the CCTA. 2017.
- Philip E. Pare', Justin M. McGrath, Berkley James Walker and C. L. Beck. Modeling and Accelerated CO_2 Control for Photosynthesis Measurements. In the Proceedings of the CCTA. 2017.
- L. Buccafusca, C. L. Beck and G. E. Dullerud. Modeling and Maximizing Power in Wind Turbine Arrays. In the Proceedings of the CCTA. 2017.
- T. Doan and C. L. Beck. Distributed Lagrangian Methods for Network Resource Allocation. In the Proceedings of the Conference on Control Technology and Applications (CCTA). (Preliminary version available at https://arxiv.org/abs/1609.06287). 2017.
- T. Doan, S. Bose and C. L. Beck. Distributed Lagrangian Methods for Tie-Line Scheduling in Power Grids under Uncertainty. In the Proceedings for Greenmetrics Workshop, a part of the ACM Sigmetrics Conference, June 2017.
- P. Pare', Ji Liu, Carolyn L. Beck, Angelia Nedich, Tamer Basar. Multi-Competitive Viruses over Static and Time--Varying Networks. In Proceedings ACC, 2017. (Longer version available at https://arxiv.org/pdf/1702.07754.pdf).
- 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. In Proceedings of the the IEEE CDC, Las Vegas, 2016. (Longer version available at https://arxiv.org/abs/1603.04098)
- S. Bhatti, C. L. Beck and A. Nedich. Large Scale Data Clustering and Graph Partitioning via Simulated Mixing. In Proceedings of the IEEE CDC, Las Vegas, NV 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. (Preliminary version available at https://arxiv.org/pdf/1604.03590.pdf).
- D. Katselis and C.L. Beck. Clustering Fully and Partially Observable Graphs via Nonconvex Optimization. In Proceedings of the ACC, Boston, MA, July 2016.
- 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.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.
- 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.
- Sharma, P. and C. L. Beck. Modelling and Distributed Control of Mobile Offshore Bases. Proceedings of the ACC, Massachusetts, June 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.
- 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.
- 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.
- Beck, C. L. and R. D'Andrea. Simplification of Spatially Distributed Systems. Proceedings of the IEEE CDC, Arizona, December 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 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 P. Bendotti. Model Reduction of Unstable Uncertain Systems. Proceedings of the IEEE CDC, San Diego, CA 1997.
- 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.
- 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. Minimality for Uncertain Systems and IQCs. Proceedings of the IEEE CDC, Orlando, FL 1994.
- 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.

## Professional Societies

- Co-Registration Chair, IEEE Conference on Decision and Control, 2018
- IEEE Control Systems Society, Board of Governors, Appointed Member 2018
- Vice Chair Invited Sessions, American Control Conference, 2014
- Vice Chair Student Affairs, American Control Conference, 2013

## Teaching Honors

- The Sharp Outstanding Teaching Award in Industrial Engineering (2015)
- List of Teachers Rated Excellent: GE/SE 424-State Space Design Methods in Control (Fall 2011, 2013; Spring 2015, 2016, 2017,2018)
- List of Teachers Rated Excellent: GE/SE 524-Data Based Modeling and Identification (Fall 2009, Spring 2014, Fall 2015)
- Accenture Outstanding Advisor Award (2004 and 2005)

## Research Honors

- Arthur Davis Faculty Scholar Award (2016)
- Semi-Plenary Speaker (2015)
- Semi-Plenary Speaker (2014)
- ONR Young Investigator Award (2001-2004)
- NSF CAREER Award (1998-2003)
- ORAU Junior Faculty Award (1997)
- Alcoa Foundation Award (1997)

## Courses Taught

- 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
- SE 424 - State Space Design for Control
- SE 524 - Data-Based Systems Modeling

## Related news

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.