**Viktor Shubov**Professor

**College**College of Sciences**Department**Mathematical Science**Phone**(978) 934-2420**Email**Victor_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* - Mathematics Professor of the Year
*, Teaching - Kappa Mu Epsilon Mathematics Honor Society, Texas Tech University* - Mathematics Professor of the Year
*, Teaching - Kappa Mu Epsilon Mathematics Honor Society, Texas Tech University* - 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
*, Teaching - University of Massachusetts Lowell* - 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*