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Victor Shubov

Victor Shubov
Viktor ShubovProfessor
  • CollegeCollege of Sciences
  • DepartmentMathematical Science
  • Phone(978) 934-2420
  • EmailVictor_Shubov@uml.edu

Research Interests

Partial differential equations, control of distributed parameter systems, hydrodynamics

Education

  • Ph D: Mathematical Physics, (1982), Steklov Mathematical Institute - St. Petersburg, Russia
  • MS: Mathematical Physics, (1972), St.Petersburg University - St.Petersburg, Russia

Awards and Honors

  • Mathematics Professor of the Year, Teaching - Kappa Mu Epsilon Mathematics Honor Society, Texas Tech University
  • President's Excellence in Teaching Award, Teaching - Texas Tech University
  • Special recognition for Excellence in Teaching and Service, Teaching - Student Chapter of the Mathematical Association of America, Texas Tech University
  • Teaching Excellence Award (2006), Teaching - University of Massachusetts Lowell
  • Mathematics Professor of the Year (2003), Teaching - Kappa Mu Epsilon Mathematics Honor Society
  • President's Excellence in Teaching Award (1998), Teaching - Texas Tech University
  • Mathematics Professor of the Year (1997), Teaching - Kappa Mu Epsilon Mathematics Honor Society, Texas Tech University
  • Special recognition for Excellence in Teaching and Service (1996), Teaching - Student Chapter of the Mathematical Association of America
  • Mathematics Professor of the Year (1994), Teaching - Kappa Mu Epsilon Mathematics Honor society
  • Mathematics Professor of the Year (1992), Teaching - Kappa Mu Epsilon Mathematics Honor Society

Publications

  • Shubov, M.A., Shubov, V. (2016) "Asymptotic and spectral analysis and control problems for mathematical model of piezoelectric energy harvester.," Mathematics in Engineering, Science & Aerospace (MESA) 7:2
  • Shubov, M., Shubov, V. (2016) "Stability of a flexible structure with destabilizing boundary conditions.," Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences!!! 472:2191 pp. 1 - 22
  • Byrnes, C.I., Gilliam, D.S., Hu, C., Shubov, V. (2013) "Asymptotic regulation for distributed parameter systems via zero dynamics inverse design," International Journal of Robust and Nonlinear Control 23:3 pp. 305-333
  • Byrnes, C.I., Gilliam, D.S., Hu, C., Shubov, V. (2010) "Zero dynamics boundary control for regulation of the Kuramoto-Sivashinsky equation," Mathematical and Computer Modelling 52:5-6 pp. 875-891
  • Byrnes, C.I., Gilliam, D.S., Isidori, A., Shubov, V. (2006) "Zero dynamics modeling and boundary feedback design for parabolic systems," Mathematical and Computer Modelling 44:9-10 pp. 857-869
  • Byrnes, C.I., Gilliam, D.S., Shubov, V., Weiss, G. (2002) "Regular linear systems governed by a boundary controlled heat equation," Journal of Dynamical and Control Systems 8:3 pp. 341-370
  • Allen, E., Burns, J., Gilliam, D., Hill, J., Shubov, V. (2002) "The impact of finite precision arithmetic and sensitivity on the numerical solution of partial differential equations," Mathematical and Computer Modelling 35:11-12 pp. 1165-1195
  • Byrnes, C., Hu, X., Martin, C.F., Shubov, V. (2001) "Input-output behavior for stable linear systems," Journal of the Franklin Institute 338:4 pp. 497-507
  • Balogh, A., Gilliam, D.S., Shubov, V. (2001) "Stationary solutions for a boundary controlled burgers' equation," Mathematical and Computer Modelling 33:1-3 pp. 21-37
  • Byrnes, C.I., Lauk?, I.G., Gilliam, D.S., Shubov, V. (2000) "Output regulation for linear distributed parameter systems," IEEE Transactions on Automatic Control 45:12 pp. 2236-2252
  • Byrnes, C.I., Gilliam, D.S., Shubov, V. (1999) "Boundary control, stabilization and zero-pole dynamics for a non-linear distributed parameter system," International Journal of Robust and Nonlinear Control 9:11 pp. 737-768
  • Byrnes, C.I., Lauko, I.G., Gilliam, D.S., Shubov, V. (1998) "Conditions for solvability of the output regulator problem for SISO distributed parameter systems," Proceedings of the IEEE Conference on Decision and Control 3: pp. 2392-2393
  • Byrnes, C.I., Gilliam, D.S., Lauko, I.G., Shubov, V. (1998) "Harmonic forcing for linear distributed parameter systems," Journal of Mathematical Systems, Estimation, and Control 8:2 pp. 201-204
  • Burns, J., Balogh, A., Gilliam, D.S., Shubov, V. (1998) "Numerical stationary solutions for a viscous Burgers' equation," Journal of Mathematical Systems, Estimation, and Control 8:2 pp. 253-256
  • Byrnes, C.I., Gilliam, D.S., Shubov, V. (1998) "On the global dynamics of a controlled viscous burgers' equation," Journal of Dynamical and Control Systems 4:4 pp. 457-519
  • Byrnes, C.I., Lauko, I.G., Gilliam, D.S., Shubov, V. (1998) "Zero dynamics for relative degree one SISO distributed parameter systems," Proceedings of the IEEE Conference on Decision and Control 3: pp. 2390-2391
  • Byrnes, C.I., Gilliam, D.S., Shubov, V. (1996) "High gain limits of trajectories and attractors for a boundary controlled viscous Burgers' equation," Journal of Mathematical Systems, Estimation, and Control 6:4 pp. 485-488
  • Martin, C., Shubov, V. (1993) "Natural exponential families of probability distributions and exponential-polynomial approximation," Applied Mathematics and Computation 59:2-3 pp. 275-297
  • Martin, C., Shubov, V. (1993) "Probability measures, appel polynomials and polynomial approximation," Applied Mathematics and Computation 53:2-3 pp. 277-298
  • Shubov, V. (1990) "Subsets of a Hilbert space, having finite hausdorff dimension," Journal of Soviet Mathematics 49:5 pp. 1217-1224
  • Shubov, V. (1988) "Existence of a weak solution of Bogolyubov's hierarchical equations for infinite classical anharmonic systems with constraints," Journal of Soviet Mathematics 40:5 pp. 690-700
  • Shubov, V. (1987) "Dynamics of infinite classical anharmonic systems with constraints," Journal of Soviet Mathematics 37:1 pp. 909-913
  • Shubov, V. (1985) "Unique solvability of the Cauchy problem for the equations of discrete chiral fields with values in Riemannian manifolds," Journal of Soviet Mathematics 30:4 pp. 2353-2368
  • Shubov, V. (1984) "Unique solvability of the cauchy problem for the equations of discrete multidimensional chiral fields, taking values on the unit sphere," Journal of Soviet Mathematics 24:5 pp. 633-638
  • Ladyzhenskaya, O.A., Shubov, V. (1984) "Unique solvability of the Cauchy problem for the equations of the two-dimensional relativistic chiral fields, taking values in complete Riemann manifolds," Journal of Soviet Mathematics 25:1 pp. 855-864
  • Shubov, V. (1982) "Classification of the reductions of the equations of principal chiral fields," Functional Analysis and Its Applications 16:3 pp. 239-240
  • Shubov, V. (1979) "Finding of N-soliton solutions of multidimensional nonlinear equations by means of Hirota's method," Theoretical and Mathematical Physics 41:1 pp. 891-895
  • Shubov, V. (1977) "The decomposition of a quasiregular representation of the Lie group by the orbit method," Journal of Soviet Mathematics 8:2 pp. 229-246

Presentations

  • Mathematical Analysis of Fluid Flow Through a Compliant Tube, January 2010 - Flight Systems Research Center at UCLA
  • Instability of Viscous Flow in Channel with Flexible Walls - 7th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, May 2008 - Arlington, Texas
  • Linear Stability Analysis of Blood Flow Model - SIAM Conference on Analysis of Partial Differential Equations, July 2006 - Boston, Massachusetts, United States
  • Existence, Regularity, and Limit Behavior for Coupled System of Navier-Stokes and Euler Equations - International Workshop on Fluid-Structure Interaction, September 2005 - UCLA
  • Small scale spatial mollifiers and output regulation with infinite dimensional ecosystems, 2003 - Mittag - Leffler Mathematical Institute, Swedish Royal Academy of Science, Stockholm, Sweden
  • , August 2003 - UCLA
  • Dynamics of fluid suspensions and dusty airflows, February 2003 - Florida State University, Tallahassee, FL
  • Regular Linear Systems Governed by Parabolic Equations - Texas PDE Conference, February 2002 - San Antonio, TX
  • Dynamics of airflows containing dust particles and of fluid suspensions. Applications to tornado dynamics - Minisymposium on Dynamics and Control of Fluid Flows, 5th International Control Conference, July 2001 - San Diego
  • Fine dust limit for coupled systems of Navier-Stokes and Euler equations - 3rd International Conference on Nonlinear Problems in Aviation and Aerospace, May 2000 - Daytona Beach, FL
  • Stability of airflow containing dust and applications to tornado dynamics - International Conference on Differential Equations and Dynamical Systems, May 2000 - Kennesaw State University, Atlanta, GA
  • Equations of dusty flows and stability of tornado vortex, August 1999 - Center for Wind Engineering Research Civil Engineering at Texas Tech
  • Control of vortex flows and tornado models - special session on "Control of Fluids Flows" at the SIAM Annual Meeting, May 1999 - Atlanta, GA
  • High gain limit of trajectories and semiglobal stabilization of boundary controlled viscous Burgers' equation, November 1998 - Department of Applied Mechanics and Engineering Science the University of California at San Diego
  • Feedback regularization of Navier-Stokes equations - 5th International Symposium on Methods and Models in Automation and Robotics, August 1998 - Miedzyzdroje, Poland
  • Feedback control of Navier-Stokes system - SIAM Conference on Systems and Control, May 1998 - Jacksonville, Florida
  • Output Regulation for Distributed Parameter Systems Governed by Parabolic Equations - Conference on Analysis of Partial Differential Equations, December 1997 - Phoenix, Arizona

Contracts, Fellowships, Grants and Sponsored Research

  • Supplemental ARP Grant for Ropes High math teacher Danny McNabb (), Grant - ARP
  • PI: Mathematical Analysis of Tornado Dynamics (1997), Sponsored Research - Texas Advanced Research Program
  • Consultant: Nonlinear Control Systems (2003), Grant - Washington University, St. Louis
  • Consultant: Nonlinear Control Systems (2000), Grant - Washington University, St. Louis
  • Consultant: Nonlinear Control Systems (1997), Grant - Washington University, St. Louis
  • Supplemental ARP Grant for Coronado High School math teacher Joe Hill (1999), Grant - ARP
  • Nonlinear Control Systems (Consultant) (1994), Grant - Air Force Office of Scientific