Bibliographical data for the files currently available: 1/25/'14 These are (mostly) in reverse order of publication and are labeled by subject area: --------------------------------------------------------------------------- label area --------------------------------------------------------------------------- ctrl_ control theory (especially `distributed parameter' systems) de_ ordinary and delay differential equations ip_ ill-posed and inverse problems msy_ manufacturing systems (stability of scheduling protocols, etc.) na_ computation and numerical analysis pde_ partial differential equations and related modeling fbp_ free boundary problems scnd_ semiconductor device modeling sma_ smart materials ss_ switching systems (nonsmooth dynamics) misc_ `miscellaneous' papers --------------------------------------------------------------------------- (some of the papers have alternate classifications, as noted) >>> Many of the papers are here available as .ps files. I am shifting to .pdf files, but do not now have source files for many of the earlier papers. --------------------------------------------------------------------------- --------------------------------------------------------------------------- >>> These two are older, longer papers:[ip] Convergent approximation methods for ill-posed problems, Part I: General Theory, Part II: Applications (pdf) Control and Cybernetics 10, pp. 31-49, 51-71 (1981).

[ss] Switching Systems: Thermostats and Periodicity (pdf) UMBC Mathematics Research Report 83-7 (1983).

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[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).

[ss] [pde] Optimal control of a diffusion/reaction/switching system (pdf) Evolution Equations and Control Theory 2, pp. 723-731 (2013). --------------------------------------------------------------------------- --->

[ss] [pde] [fbp] Modeling modal transitions in diffusing populations (pdf) Int'l. J. Evolution Eqns., 9, pp. 27-40 (2014).

[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).

[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 (ps) 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 [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 [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 [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 [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 [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 [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 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).

[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).

[na] On the stability of certain difference schemes, Numer. Math. 5, pp.~201--210 (1963).