The Grainger College of Engineering
Center for Autonomy

Yuliy Baryshnikov

Yuliy Baryshnikov
Yuliy Baryshnikov no pronouns/use only name
  • Professor
(217) 244-3392
163 Coordinated Science Lab

For More Information

Other Professional Employment

  • Member of Technical Staff, Bell Labs, Murray Hill, NJ, 2001-2005.
  • Department Head, Bell Labs, Murray Hill, NJ, 2005-2011.

Research Interests

  • Nonlinear dynamics and control
  • Applied topology
  • Stochastic processes

Research Areas

  • Control
  • Decentralized and distributed control
  • Discrete-event, switched and hybrid systems
  • Random processes
  • Robotics and motion planning

Research Topics

  • Autonomous Systems and Artificial Intelligence
  • Cybersecurity and privacy
  • Data science and analytics
  • Data/Information Science and Systems
  • Decision science
  • Healthcare and medical technologies
  • Network science and engineering
  • Neuro-engineering
  • Policy and economics
  • Quantum optics, cryptography, information, and computing
  • Robotics
  • Sensing systems
  • Socio-technical systems and networking
  • Speech, language, and audio processing

Selected Articles in Journals

  • Arnold, Maxim; Baryshnikov, Yuliy; LaValle, Steven M; Convex hull asymptotic shape evolution Algorithmic Foundations of Robotics X 349-364 2013 Springer Berlin Heidelberg
  • B. J. Zimmerman, I. Abraham, S. A. Schmidt, Yu. Baryshnikov, F. T. Husain, Dissociating tinnitus patients from healthy controls using resting state cyclicity analysis and clustering, Network Neuroscience, 2018
  • Baryshnikov, YM; Coffman, EG; Kwak, KJ; Moran, Bill; Minimalist counting in sensor networks (Noise helps) Ad Hoc Networks 9 6 987-997 2011 Elsevier
  • Baryshnikov, Yuliy; Brady, Wil; Bressler, Andrew; Pemantle, Robin; Two-dimensional quantum random walk Journal of Statistical Physics 1-30 2010 Springer
  • Baryshnikov, Yuliy; Ghrist, Robert; Euler integration over definable functions Proceedings of the National Academy of Sciences 107 21 9525 2010 National Acad Sciences
  • Baryshnikov, Yuliy; Ghrist, Robert; Lipsky, David; Inversion of Euler integral transforms with applications to sensor data Inverse Problems, 27 no. 12, 10 pp., 2011.
  • Baryshnikov, Yuliy; Pemantle, Robin; Asymptotics of multivariate sequences, part III: quadratic points Advances in Mathematics 228 6 3127-3206 2011 Elsevier
  • Baryshnikov, Yuliy; Romik, Dan; Enumeration formulas for Young tableaux in a diagonal strip Israel Journal of Mathematics 178 1 157-186 2010 Springer
  • Baryshnikov, Yuliy; Zharnitsky, Vadim; Search on the Brink of Chaos Nonlinearity 25,3023-3047, 2012.
  • Edmond, Edmond; Lou, Mingji; Bonahon, Francis; Baryshnikov, Yuliy; Euclidean versus Hyperbolic Congestion in Idealized versus Experimental Networks Internet Mathematics 7 1 1-27 2011 AK Peters, Ltd.
  • M. Arnold, Yu. Baryshnikov, Yu. Mileyko, Typical representatives of free homotopy classes in a multi-punctured planeJ. Topology and Analysis, 2017.
  • Y Baryshnikov, V Blumen, K Kim, V Zharnitsky, Billiard dynamics of bouncing dumbbell Physica D: Nonlinear Phenomena 269, 21-27
  • Y. Baryshnikov, R. Ghrist, M. Wright Hadwiger's Theorem for Definable Functions, Advances in Mathematics 245, 573-586
  • Yu. Baryshnikov, B. Shapiro, How to Run a Centipede: a Topological Perspective In: Geometric Control Theory and sub-Riemannian Geometry, Springer INdAM Series 5, 37-51, 2014.
  • Yu. Baryshnikov, P. Bubenik, M. Kahle Min-Type Morse Theory for Configuration Spaces of Hard Spheres Int. Math. Res. Notices, doi:10.1093/imrn/rnt012, 2013.

Articles in Conference Proceedings

  • Y Baryshnikov, D Liberzon Robust stability conditions for switched linear systems: commutator bounds and the L?ojasiewicz inequality Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on, 722-726
  • M Arnold, Y Baryshnikov, D Liberzon, Cyclic pursuit without coordinates: convergence to regular polygon formations, Decision and Control (CDC), 2014 IEEE 53nd Annual Conference on, p. 6191 – 6196
  • Y Baryshnikov, J Duda, W Szpankowski, Markov field types and tilings Information Theory (ISIT), 2014 IEEE International Symposium on, 2639-2643
  • Agrachev, Andrei A; Baryshnikov, Yuliy; Liberzon, Daniel; Towards robust Lie-algebraic stability conditions for switched linear systems Decision and Control (CDC), 2010 49th IEEE Conference on 408-413 2010 IEEE
  • Yu. Baryshnikov IT Security Investment and Gordon-Loeb's 1/e rule , WEIS Proceedings, Berlin 2012.
  • Baryshnikov, Yuliy; Tucci, Gabriel H; Asymptotic traffic flow in a hyperbolic network Communications Control and Signal Processing (ISCCSP), 2012 5th International Symposium on 1-4 2012 IEEE

Conferences Organized or Chaired

  • Topology in Motion, a thematic semester 2016, at ICERM (Providence, RI)
  • IMA workshop on Geometry and Topology of Large Networks, April 2014

Professional Societies

  • AMS Committee on Mathematical Research Communities (Chair)

Service on University Committees

  • Member of Faculty Senate, 2015-2017

Service on Department Committees

  • FSC at ECE
  • P&T in Mathematics
  • undergraduate curriculum committee

Honors

  • Alexander von Humboldt Fellow (1992)
  • Lady Davis Professorship, Technion (2003)
  • Simons Fellow in Mathematics (2023)

Recent Courses Taught

  • ECE 313 (MATH 362) - Probability with Engrg Applic
  • ECE 470 (AE 482, ME 445) - Introduction to Robotics
  • ECE 486 - Control Systems
  • ECE 490 (CSE 441) - Introduction to Optimization
  • ECE 515 (ME 540) - Control System Theory & Design
  • ECE 517 - Nonlinear & Adaptive Control
  • MATH 231 - Calculus II
  • MATH 299 - Topics in Mathematics
  • MATH 444 - Elementary Real Analysis
  • MATH 487 (ECE 493) - Advanced Engineering Math
  • MATH 492 - Finding The Dept's Deep Struct
  • MATH 499 - Introduction Graduate Research
  • MATH 564 (STAT 555) - Applied Stochastic Processes
  • MATH 593 - Mathematical Internship
  • MATH 595 - Algebraic & Diff Topology
  • MATH 597 - Reading Course