[ss] Switching Systems: Thermostats and Periodicity (pdf) UMBC Mathematics Research Report 83-7 (1983).
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[ss] [pde]
Modeling modal transitions in diffusing populations (pdf)
Int'l. J. Evolution Eqns
[ss] [pde]
Optimal control of a diffusion/reaction/switching system (pdf)
Evolution Equations and Control Theory 2, pp. 723-731 (2013).
[pde]
Approximation of a semigroup model of
anomalous diffusion in a bounded set (pdf)
[joint work with S. Thompson]
Evolution Equations and Control Theory 2, pp. 173-192 (2013).
[ss], [pde]
Periodic solutions of isotone hybrid systems (pdf)
[joint work with O. Klein] WIAS preprint 1732;
DCDS-B 18, pp. 483-493 (2013).
[na]
Finite element approximation for time-dependent
diffusion with measure-valued source (pdf)
[joint work with M. Gobbert, D. Trott and M. Kruzik]
Numerische Mathematik 122, pp. 709-723 (2012).
[misc]
A variational characterization of a hyperelastic rod
with hard self-contact (pdf)
[joint work with K. Hoffman]
Nonlinear Analysis - TMA 74, pp. 5388--5401, (2011).
[misc]
A Variational Rod Model with a Singular Nonlocal Potential (pdf)
[joint work with K. Hoffman]
Archive Rational Mech. and Anal. 200, pp. 255-284, (2011).
[ss]
An augmented BV setting for feedback switching control (pdf)
[joint work with F. Hante and G. Leugering]
J.Systems Sci.&Comp. 23, pp. 456-466, (2010).
[misc]
Normal cones to infinite intersections (pdf)
Nonlinear Analysis 72, pp. 3911--3917 (2010).
[misc],[ctrl]
Book review: "Representation and control of infinite dimensional
systems," 2nd edition} {[Bensoussan, A., Da Prato, G., Delfour, M.C., Mitter, S.K.]} (pdf)
IEEE Sys. Ctrl. Mag. 29, pp. 80--82, (2009).
[ss],[ctrl]
Feedback modal control of partial differential equations (pdf)
pp. 239-254 in "Optimal Control of Coupled Systems of Partial Differential
Equations"} (Kunisch, Leugering, Sprekels, Troltzsch, eds.),
Birkhauser Verlag, Basel (2009).
[misc],[ctrl]
Compactness of a fixpoint set and optimal control (pdf)
Applicable Anal. 88, pp. 419-423, (2009).
[pde]
Interface conditions for a singular reaction-diffusion system (pdf)
Discrete and Cont. Dynamical Systems 2, pp.~631--643, (2009).
[na],[pde]
Efficient computation for a reaction-diffusion system with a fast reaction
with continuous and discontinuous initial data using COMSOL Multiphysics. (pdf)
[joint work with Guan Wang, Aaron Churchill, Matthias K. Gobbert]
Technical Report HPCF-2009-3, UMBC High Performance Computing Facility, UMBC (2009).
[ss]
Modeling and analysis of modal switching in networked
transport systems (pdf)
[joint work with F. Hante and G. Leugering]
Appl. Math. Optim. 59, pp. 275-292, (2009).
[ctrl]
An introduction to control theory for PDEs (pdf)
Notes for 2007 Summer School (Schloss Thurnau)
[ctrl]
How violent are fast controls?, III (pdf)
J. Math. Anal. Appl. 339, pp. 461-468, (2008).
[ss]
Some aspects of modeling with discontinuities (pdf)
Int'l. J. Evolution Eqns. 3, pp. 129-143, (2008).
[ctrl],[de]
Asymmetric games for convolution systems with applications to
feedback control of constrained parabolic equations (pdf)
[joint work with B. Mordukhovich]
J. Math. Anal. Appl. 333, pp. 401-415, (2007)
[ctrl]
On the `Output Stabilization' problem (pdf)
Dynam. Cont. Discrete, Impulsive Syst., 14, pp. 189-198, (2007).
[ss],[pde]
A convection/reaction/switching system (pdf)
Nonlinear Analysis: Theory and Methods 67, pp. 2060-2071, (2007).
[misc]
Obstacle problems and isotonicity (pdf)
Nonlinear Analysis: Theory and Methods 67, pp. 554--562, (2007).
[ctrl]
Blowup estimates for observability of a thermoelastic system (pdf)
[joint work with I. Lasiecka]
Asymptotic Analysis 50, pp. 93--120, (2006).
[misc]
The spectral radius in partially ordered algebras (pdf)
[joint work with H. Schneider]
Linear Algebra and Appl. 417, pp. 347--369, (2006).
[de]
Existence of generalized solutions for ordinary differential equations in Banach spaces (pdf)
Int. J. Evolution Equations 1, pp. 107--119, (2005).
[misc]
Comparison theorems using general cones for norms of iteration matrices (pdf)
[joint work with H. Schneider and M. Arav]
Linear Algebra and Appl. 399, pp. 169--186, (2005).
[de]
Delay effect in models of population growth (pdf)
[joint work with Yongwimon Lenbury and Dang Vu Giang]
J. Math. Anal. Appl. 305, pp. 631--643, (2005)
[ possibly of related interest is another version: Global stability of the equilibrium for a class of delay differential equations (pdf) ]
[na]
Numerical Exploration of a System of Reaction-Diffusion Equations with Internal and Transient Layers (pdf)
[joint work with Ana Maria Soane and Matthias K. Gobbert]
Nonlinear Analysis: Real World Appl. 6, pp. 914--934, (2005).
[pde]
Parabolic-hyperbolic systems governing the spatial motion of nonlinearly viscoelastic rods (pdf)
[joint work with S.S. Antman]
Archive Rational Mech. and Anal. 175, pp. 85--150, (2005).
[ctrl]
On uniform controllability and blow-up estimates (pdf)
Chapter 15 in "Control Theory of Partial Differential Equations," (O. Imanuvilov, G. Leugering, R. Triggiani, B.-Y. Zhang, eds.)
pp. 215--227, Chapman and Hall/CRC, Boca Raton, (2005).
[ctrl],[pde]
On positive reachability for diffusion equations (pdf)
Appl. Math. and Optim. 50, pp. 135--142, (2004).
[misc]
Increasingly correct message-passing algorithms for heat source detection in sensor networks (pdf)
[joint work with K. Plarre and P.R. Kumar]
1-st IEEE Intl Conf on Sensor and Ad hoc Communications and Networks, (SECON 2004), Oct 4-7, 2004, Santa Clara. June 20, 2004.
[na],[sma]
Computational Modeling of Vibration Damping in SMA Wires (pdf)
[joint work with Petr Kloucek and Dan Reynolds]
Cont. Mech. and Thermodynamics, 16, pp. 495--514, (2004).
[na]
Design of an effective numerical method for a reaction-diffusion system with internal and transient layers
[joint work with Ana Maria Soane and Matthias K. Gobbert]
IMA Preprint Series #2006, November, 2004.
[pde] [ctrl]
Optimal control of the spatial motion of a viscoelastic rod (pdf)
[joint work with S. Antman]
Dynamics of Continuous, Discrete and Impulsive Systems, 10 pp~679--691, (2003).
[de]
Singular perturbation analysis of a diffusion/reaction system with a fast reaction (pdf)
[joint work with Leonid Kalachev]
J. Math. Anal. Appl., 288, pp. 722--743, (2003).
[misc]
On consistency of estimators in simple linear regression (pdf)
[joint work with Anindya Roy]
Calcutta Statistical Assoc. Bulletin 53, pp.~261--264, (2003).
[pde],[ctrl]
On thermodynamic active control of a Shape Memory Alloy wire
[joint work with Petr Kloucek and Dan Reynolds]
Systems and Ctrl. Ltrs. 48, pp. 211--219, (2003).
[pde],[ctrl]
Thermal controllability of shape memory alloy wires (pdf)
[joint work with Petr Kloucek and Dan Reynolds]
Smart Structures and Materials 2003: Modeling, Signal Processing and Control [Proc. of SPIE v.5049], (R.C.~Smith, ed.),
pp~24--34, SPIE, Bellingham, (2003).
[pde],[ctrl]
Strong stability of elastic control systems with saturating feedback (pdf)
[joint work with I. Lasiecka]
Systems and Ctrl. Ltrs. 48, pp. 243--252, (2003).
[ctrl],[pde]
Pointwise and internal controllability for the wave equation (pdf)
[joint work with S. Avdonin]
Appl. Math. and Optim. 46, pp. 107--124, (2002).
[msy]
Stability of pull production control methods for systems with significant setups (pdf)
[joint work with L. Holloway]
IEEE Trans. AC, 47, pp. 1637--1647, (2002)
[ctrl]
Some `regional controllability' issues for the heat equation (pdf)
[joint work with L. Badraoui]
Revista Mat. Aplic. (Chile) 22, pp. 1--23 (2001).
[pde],[ctrl]
Optimal control of a nonlinearly viscoelastic rod
[joint work with S. Antman]
in Control of Nonlinear Distributed Parameter Systems,
(G. Chen, I. Lasiecka, J. Zhou, eds.)
pp. 273--283, Marcel Dekker, New York, (2001).
[ctrl]
A note on stabilization with saturating feedback (pdf)
[joint work with Houshi Li]
Discrete and Cont. Dynamical Systems 7, pp. 319--328 (2001).
[ss],[ctrl]
Optimal control of a bioreactor with modal switching (pdf)
[joint work with S. Lenhart and J. Yong]
Math. Models, Methods in Appl. Sci. 11, pp. 933--949 (2001)
[misc],[ctrl]
The `window problem' for series of complex exponentials (pdf)
[joint work with S. Avdonin and S. Ivanov]
J. Fourier Analysis and Applications 6, pp. 235--254 (2000).
[na],[pde]
A space-time finite element method for a class of nonlinear hyperbolic-parabolic equations (pdf)
[joint work with D. French and S. Jensen]
Appl. Numer. Math. 31, pp. 429--450 (1999).
[pde]
Periodic solutions of a class of nonlinear parabolic equations
Adv. in Math. Sci. & Appl. 9, pp. 539--555 (1999).
[ss]
Sliding modes in intersecting switching surfaces: hysteresis
[joint work with J.C. Alexander]
Houston J. Math. 25, pp. 185--211 (1999).
[ss],[fbp],[ctrl]
A 1-dimensional bioremediation problem with modal switching (pdf)
in Control of Distributed Parameter and Stochastic Systems (Chen, Li, Yong, Zhou)
Kluwer Acad. Publ., Norwell, (1999); pp. 127--131.
[fbp],[pde]
On the dissolution-growth process of a grain: large time behavior and special solutions
[joint work with F. Issard-Roch]
Applicable Analysis 69, pp. 157--189 (1998).
[de]
Sliding modes in intersecting switching surfaces: blending
[joint work with J.C. Alexander]
Houston J. Math. 24, pp. 545--569 (1998).
[ctrl],[pde]
An abstract `bang-bang principle' and time-optimal boundary control of the heat equation
[joint work with V.J. Mizel]
SIAM J. Control and Optim. 35, pp. 1204--1216 (1997).
[ctrl]
How violent are fast controls?, II (pdf)
[joint work with J. Yong]
Math. of Control, Signals, Syst. 9, pp. 327--340 (1997).
[msy]
Stability of a `signal kanban' manufacturing system
[joint work with L. Holloway]
in Proceedings (vol. 1) 1997 American Control Conference
Amer. Automatic Control Council, Evanston (1997); pp. 590--594.
[pde]
A nonlinear parabolic equation arising in turbulence
[joint work with C. Brauner and C. Schmidt-Laine']
J. Math. Anal. Appl. 206, pp. 234--253 (1997).
[de]
A one-dimensional diffusion/reaction system with a fast reaction (pdf)
[joint work with L. Kalachev]
J. Math. Anal. Appl. 289, pp. 392--414 (1997).
[ctrl],[pde]
Control of the heat equation
Chapter 67 in Handbook of Control (Levine)
CRC Press, NY, (1996); pp. 1157--1168.
[ip] [pde]
Optimal filtering for the backward heat equation
SIAM J. Num. Anal. 33, pp. 162--170 (1996).
[msy]
Some kanban--controlled manufacturing systems: a first stability analysis
[joint work with C. Humes, jr]
IEEE Trans. AC 41, pp. 1013--1018 (1996).
[pde]
Quasilinear hyperbolic-parabolic equations of one-dimensional viscoelasticity
[joint work with S. Antman]
J. Diff Eqns. 124, pp. 132--185 (1996).
[ss]
The residue of model reduction
in Hybrid Systems III. Verification and Control (Alur, Henzinger, Sontag)
[LCNS 1066] Springer-Verlag, Berlin (1996); pp. 201--207.
[fbp] [pde]
Well-posedness of a dissolution-growth problem on an unbounded domain
[joint work with F. Issard-Roch]
Applicable Analysis 63, pp. 183--205 (1996).
(note also Erratum: Appl. Anal. 69, pp. 191--197 (1998).)
[ss]
Some limit problems for relays
in Proc. 1-st Int'l. Congress Nonlinear Analysts (Tampa, 1992)
(Lakshmikantham) de Gruyter, Berlin (1995); pp. 787-796.
[ip]
Interpretations and estimates for ill-posed problems
in Proc 1994 St. Wolfgangsee conf. on Parabolic Ill-Posed Problems
(Engl, Rundell) SIAM (1995); pp. 108--119.
[ip],[pde]
Identification of q(x) in u_t=\Delta u -qu from boundary observations
[joint work with Sergei Avdonin]
SIAM J. Control and Optim. 33, pp. 1247--1255 (1995).
[misc]
Optimal data compression of visual images
[version 1 -- report] (July, 1995)
[ctrl]
Existence of optimal controls for some nonlinear problems
in Control of Partial Differential Equations (DaPrato, Tubaro)
Marcel Dekker, New York (1994); pp. 179--188.
[misc]
Norm dependence of the coefficient map on the window size
[joint work with M.S. Gowda]
Math. Scand. 73, pp. 177--189 (1994).
[msy]
`First Come, First Served' can be unstable!
IEEE Trans AC 39, pp. 2166--2171 (1994)
[pde]
Reaction and diffusion at a gas/liquid interface, II
[joint work with H. Haario]
SIAM J. Math. Anal. 25, pp. 1069--1084 (1994).
[pde]
A modified film model
[joint work with H. Haario]
Chem. Eng. Sci. 49, pp. 1477--1479 (1994).
[pde]
Large shearing motions of nonlinearly viscoelastic slabs
[joint work with S. Antman]
Bull. of the Tech. Univ. of Istanbul 47, pp. 41--56 (1994).
[ctrl],[fbp]
Optimal control and well-posedness for a free boundary problem
in Emerging Applications in Free Boundary Problems (Chadam, Rasmussen)
Longman, Harlow (1993); pp. 246--250.
[ctrl],[fbp],[pde]
Existence of optimal controls for a free boundary problem
in Differential Equations, Dynamical Systems, and Control Science: A Festschrift in Honor of Lawrence Markus
(Elworthy, Everitt, Lee) Marcel Dekker, N.Y. (1993); pp. 859--866.
[ss]
Equations with hysteretically discontinuous right hand sides
in Models of Hysteresis (A. Visintin)
Longman, Harlow (1993); pp. 158--162.
[ip]
`Optimal Filtering' for some ill--posed problems
in Wave Propagation and Inversion (Fitzgibbon, Wheeler)
SIAM, Philadelphia (1992); pp. 108--123.
[pde]
Transient stimulated Raman scattering
[joint work with C.R. Menyuk]
SIAM J. Math. Anal. 23, pp. 346--363 (1992).
[ss]
The dynamics of some systems with hysteretic nonlinearities
in Optimization and Nonlinear Analysis (Ioffe, Marcus, Reich)
Longman, Harlow (1992); pp. 273--285.
[ctrl]
Invariance of almost-reachable sets under nonlinear perturbation
[joint work with K. Naito]
SIAM J. Control and Optim. 29, pp. 731--750 (1991).
[ctrl]
Some problems of distributed parameter control with unilateral constraints
Math. Anal. Appl. 147, pp. 284--295 (1990).
[msy]
Dynamic instabilities and stabilization methods in distributed
real-time scheduling of manufacturing systems
[joint work with P.R. Kumar]
IEEE Trans Autom. Control 35, pp.289--298 (1990).
[ip]
Some `complexity' issues for ill-posed problems
in Inverse Problems in Partial Differential Equations (1989 Arcata conf.)
(Colton, Ewing, Rundell) SIAM, (1990); pp. 17--35.
[ip],[pde]
Determination of the nonlinearity in a parabolic equation from boundary measurements
in proc. IFAC 5-th Symposium on Control of DPS (Perpignan)
(Amouroux, El Jai) Pergamon, (1990); pp. 181--186.
[misc]
Generalized linear complementarity problems
[joint work with M.S. Gowda]
Math. Programming 46, pp. 329--340 (1990).
[scnd],[na]
A new algorithmic model for the transient semiconductor problem
in Proc. Oberwolfach Conf. on VLSI and circuit simulation
Birkhauser Verlag, Basel (1990); pp. 141--151.
[ss]
Switching systems, I
Control and Cybernetics 19, pp. 63--92 (1990).
[fbp],[pde]
Optimal solutions for a free boundary problem for crystal growth
[joint work with P. Neittaanmaki]
in Control and Estimation of Distributed Parameter Systems (Vorau, 1988)
(Kappel, Kunisch, Schappacher) Birkhauser Verlag, Basel (1989);
pp. 323--334.
[ctrl],[pde]
Control of a flexible robot arm
in Proc. 28-th IEEE Conf. Decision+Control, IEEE (1989); pp. 2300--2303.
[ctrl],[fbp]
Some control-theoretic questions for a free boundary problem
in Control of Partial Differential Equations (Bermudez) [LNCIS 114]
Springer-Verlag, New York, (1989); pp. 265--276.
[ip]
Well-posedness and convergence of some regularization methods for nonlinear ill-posed problems
[joint work with C. Vogel]
Inverse Problems 5, pp. 227--238 (1989).
[scnd],[pde]
The transient semiconductor problem with generation terms, II
in Nonlinear Semigroups, PDE, and Attractors (Gill, Zachary) [LNM 1394]
Springer-Verlag, New York (1989); pp. 185--198.
[ss]
Switching systems and periodicity
in Nonlinear Semigroups, PDE, and Attractors (Gill, Zachary) [LNM 1394]
Springer-Verlag, New York (1989); pp. 185--198.
[ctrl]
How violent are fast controls? (pdf)
Math. of Control, Signals, Syst. 1, pp. 89--95 (1988).
[ip],[de]
An inverse eigenvalue problem with rotational symmetry (pdf)
Inverse Problems 4, pp.~1093--1115 (1988).
[misc]
periodic QVI(pdf)
Applicable Analysis 29, (1988).
[ss]
Some problems with thermostat nonlinearities
in Proc. 27-th IEEE Conf. Decision+Control, IEEE (1988); pp. 1255--1259.
[ss],[ctrl]
Optimal control of switching systems
in Proc. 21-st Conf. on Inf. Sci., Syst. (JHU, 1987); pp. 485--489.
[ip],[na]
A convergent approximation scheme for the inverse Sturm-Liouville
problem (pdf)
Inverse Problems 1, pp. 251--262 (1985).
[ip],[na]
Nonconvergence results for the application of least squares estimation
to ill-posed problems,
J. Opt. Th. Appl. 30, pp. 535--547 (1980).
[na]
On the stability of certain difference schemes,
Numer. Math. 5, pp. 201--210 (1963).