directory listing for preprints
(Please respect the copyright, consult the
official publisher for details).
Most recent publications
Several ancient papers have been recompiled from old files
and may not exacly match the published versions.
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Most of the publications listed are based upon work at least partially supported by
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under numerous grants.
Any opinions, findings, and conclusions or
recommendations expressed in this material are those of the author(s)
and do not necessarily reflect the views of the
National Science Foundation.

A new necessary condition for local controllability,
bib,
.pdf,
in: Differential Geometry: The Interface between Pure and Applied Mathematics,
M. Luksic, C. Martin, and W. Shadwick, eds.,
AMS Contemporary Mathematics, 68 (1987) pp. 143156.

(with H. G. Hermes
Local controllability of a singleinput, affine system,
bib,
in: Nonlinear Analysis and Applications, V. Laksmikantham, ed.,
Lecture Notes Pure and Applied Mathematics, 109 (1987) pp. 235248. (Dekker)

Nilpotent Lie algebras of vector fields,
bib,
abstract: .ps,
Journal für die Reine und Angewandte Mathematik, 188 (1988) pp. 117.

Control variations and local controllability,
.ps,
in: Analysis and Control of Nonlinear Systems, C. I. Byrnes, C. F. Martin, R. E. Saeks, eds.,
(1988) pp. 165174. (Elsevier)

Control variations with an increasing number of switchings,
bib,
.pdf,
Bulletin American Mathematical Society, 18 no. 2 (1988) pp. 149152.

An angular open mapping theorem,
bib,
.pdf,
in: Analysis and Optimization of Systems, A. Bensoussan and J. L. Lions, eds.,
Lecture Notes in Control and Information Sciences, 111 (1988) pp. 361371. (Springer)

Stabilizability and nilpotent approximations,
.ps,
Proc. 27th IEEE Conference Decision and Control, Austin (1988) pp. 12441248.

Stabilization of nonlinear systems in the plane,
bib,
.pdf,
Systems and Control Letters, 12 no. 3 (1989) pp. 169175.

Controllability, approximations, and stabilization,
bib,
in: Computation and Control, K. Bowers, J. Lund eds.,
Progress in Systems and Control Theory, 1 (1989) pp. 155167 (Birkhäuser).

Homogeneous feedback laws in dimension three,
pre,
IEEExplore
Proc. 28th IEEE Conference Decision and Control, Tampa (1989) pp. 13701375.

Highorder smalltime local controllability,
bib,
.pdf,
in: Nonlinear Controllability and Optimal Control, H. J. Sussmann, ed.,
(1990) pp. 441477. (Dekker)

The complexity of deciding controllability,
bib,
.pdf
Systems and Control Letters, 15, no. 1, (1990) pp. 914.

Homogeneous stabilizing feedback laws,
bib,
.ps,
Control Theory and Advanced Technology (CTAT, Tokyo),
6 no. 4 (1990), pp. 497516.

Homogeneous feedback stabilization,
bib,
.ps,
in: New Trends in Systems Theory, G. Conte, A. M. Perdon and B. Wyman eds.,
Progress in Systems and Control Theory, 7 (1991) pp. 464471. (Birkhäuser)

Families of dilations and asymptotic stability,
bib,
pdf,
in: Analysis of Controlled Dynamical Systems, B. Bonnard, B. Bride, J. P. Gauthier and I. Kupka, eds.,
Progress in Systems and Control Theory, 8 (1991) pp. 285294. (Birkhäuser)

Application of homogeneity to nonlinear adaptive control,
bib,
in: Computation and Control II, .K. Bowers, J. Lund eds.,
Progress in Systems and Control Theory, 11 (1991) pp. 225236. (Birkhäuser)

Practical Computation of accessibility, controllability, and nilpotent approximations,
bib,
in: Algebraic Computing in Control, G. Jacob and F. LamnabhiLagarrigue, eds.,
Lecture Notes in Control and Information Sciences, 165,(1991) pp. 334345. (Springer)

High order conditions for local controllability in practice,
.pdf,
bib,
in: Recent Advances in Mathematical Theory of Systems, Networks and Signal Processing,
H. Kimura and S.Kodama, eds.,
(1992) pp. 271276 (mitapress, Tokyo).

Feedback stabilization, homogeneity, and nonlinear dynamics on spheres and SO(3),
.pdf,
bib,
in: Recent Advances in Mathematical Theory of Systems, Networks and Signal Processing,
H. Kimura and S.Kodama, eds., (1992) pp. 365370 (mitapress, Tokyo).

Combinatorics of realizations of nilpotent control system ,
.ps
in: Nonlinear Control Systems Design, Selected papers of IFAC symposium,
M. Fliess, ed.,
(1993), pp. 251256.

Chronological algebras and nonlinear control,
.ps
Proc. Asian Control Conference, Tokyo (1994).

Geometric homogeneity and applications to stabilization,
.pdf,
in:
Nonlinear Control Systems Design,
A.Krener and D.Mayne, eds.,
(1995), pp. 147152. (Elsevier).

(with B. Doak, S. Duerden, D. Evans, M. Green, J. Kelly, D. Linder, M. Politano, and R. Roedel),
An integrated, projectbased, introductory course in calculus,
physics, English, and engineering
HTML
IEEE FIE (Frontiers in Education) Atlanta (1995).

(with S. Holland),
An introduction to practical MAPLE 3Dgraphics,
.ps,
Proc. CoMath 95.

(with S. Holland),
3Dgraphics for iterated integrals,
.pdf,.
MAPLETech, 4 no.1, (1997) pp. 9298.

Computer Visualization and Vector Calculus,
.ps,
in: Computer Technology in Mathematical Research and Teaching,
W.C. Yang and Y.Abu Hassan, eds.,
(1997) pp. 100114.

(with H.J.Sussmann
Noncommutative power series and formal Liealgebraic techniques
in nonlinear control theory
bib,
.pdf,
in: Operators, Systems, and Linear Algebra,
U. Helmke, D. PratzelWolters and E. Zerz, eds.,
(1997), pp. 111128. (Teubner)

How CAS and visualization lead to a complete rethinking of an introduction
to vector calculus,
.ps,
Proc. 3rd Intl. Conf. Techn. in Math.Teaching,
Koblenz (1997).

Nonlinear control and combinatorics of words
bib,
.ps,
in: Geometry of Feedback and Optimal Control,
B. Jakubczyk and W. Respondek, eds.,
(1998), pp. 305346. (Dekker)

Optimal controls for nilpotent systems,
.ps,
in: Math. Theory of Networks and Systems,
A.Beghi, L.Finesso, G.Picci, eds.,
(1999), pp. 257260. (Poligrafo).

Controllability via chronological calculus,
.ps,
Proc. 38th IEEE Conference Decision and Control,
Phoenix (1999) pp. 29202925.

(with S. Holland)
An interactive JAVA vector field analyzer,
.ps
Proc. ICSEE 2000 (Internat. Conf. Simulation in Engineerg. Educ.)
H.Vakilzadian and C.R.Wie eds.,
(2000) pp. 5358.

Chronological algebras: combinatorics and control,
bib,
.ps,
.pdf,
Itogi Nauki i Techniki, 68 (2000) pp. 144178.
English translation in J. Math.Sciences, 103 (2001) pp. 725744.

Calculating the logarithm of the Chen Fliess series,
.ps,
.pdf,
Proc. MTNS 2000., Perpignan, France, (2000)

Controllability and coordinates of the first kind,
bib,
.ps,
in:
Contemporary Trends in Nonlinear Geometric Control Theory and its Applications
A. AnzaldoMeneses, B. Bonnard, J.P. Gauthier, F. MonroyPerez, eds.
(2002) pp. 381404. (World Scientific)

Calculus of nonlinear interconnections with nonlinear applications,
pdf,
Proc. 39th IEEE Conference Decision and Control,
Sydney (2000) pp. 16611666.

The combinatorics of nonlinear controllability and noncommuting flows
bib,
.pdf,
Abdus Salam ICTP
Lecture Notes series
8 (2002) pp. 223312.

(with R.M. Bianchini),
Needle variations that cannot be summed,
bib,
.pdf,
SIAM Journal of Control & Optimization 42 no.1 (2003), pp. 218238.

Interactive visualization in complex analysis
.pdf,
elec. Proc. 2nd Internat. Conf. Math Teaching, Crete, Greece (2002).

(with R.M. Bianchini),
Lack of convexity for tangent cones of needle variations,
.pdf,
Proc.IEEE Conference on Decision and Control (2002).

Curvature for Everyone
.pdf,
Proceedings 8^{th}atcm
(Asian Technology Conf. Mathematics), Taiwan (2003).

Highorder Maximal Principles,
bib,
.pdf,
in:
New Trends in Nonlinear Dynamic and Control, and their Applications,
SpringerLink
W. Kang, M. Xiao, and C. Borges, eds.,
Lecture Notes Control and Information Sciences (2003) pp. 313326.
(Springer)

CAS or MATLAB in first year collegiate math?
.doc,
Proceedings ICTME2
(Int. Conf. Trends in Math. Education), Beirut, Lebanon (2003).

Functions and Operators in MAPLE and in MATLAB,
.pdf,
Proceedings delta03
(4th Southern Hemisphere Symp. Undergrad. Mathematics Teaching),
Queenstown, New Zealand (2003).

Bases for Lie algebras and a continuous CBH formula,
.pdf,
in:
Unsolved Problems in Mathematical Systems and Control Theory
V. Blondel and A. Megretski, eds.,
Princeton Univ. Press
(2004) pp. 97102.

(with H. Hermes)
Nilpotent bases of distributions,
.pdf,
in:
Unsolved Problems in Mathematical Systems and Control Theory
V. Blondel and A. Megretski, eds.,
Princeton Univ. Press
(2004) pp. 321325.

Functions: Looking ahead beyond calculus,
.pdf,
Proceedings delta05
(5th Southern Hemisphere Symp. Undergrad. Mathematics Teaching),
Brisbane, Australia (2005).

On the problem whether controllability is finitely determined,
.pdf,
Proc.
MTNS 2006
Kyoto, Japan (2006).

(with T. Taylor),
Canonical operators on graphs
bib
.pdf,
pp. 221237 in Modeling,
Estimation and Control, LNCIS 364,
A. Chiuso, A. Ferranti and S. Pinzoni (eds),
(2007), pp. 221  237. (Springer Verlag)

Teaching university mathematics and coaching youth soccer: Problem solving
.pdf,
Proceedings delta 07
(6th Southern Hemisphere Symp. Undergrad. Mathematics Teaching),
(2007), pp. 81  90. (Montevideo, Uruguay).

Dynamic visualization in advanced undergraduate courses
.pdf,
Proceedings delta 07
(6th Southern Hemisphere Symp. Undergrad. Mathematics Teaching),
(2007), pp. 91  100. (Montevideo, Uruguay).

(with P. Maxwell),
Curvature of optimal control: Deformation of scalarinput planar systems,
.pdf,
Control and Cybernetics
37 no. 2 (2008), pp. 353  368.

(with E. Gehrig)
A Hopfalgebraic formula for compositions of noncommuting flows
.pdf,
Proc.
47^{th} IEEE Conference on Decision and Control
(2008) pp. 1569  1574.

From f(x) to xf: Using technology to promote
advanced modern mathematical thinking
.pdf,
Proc.
13^{th}th Asian Tech. Conf. Mathematics
(2008), 15 pages. (Bangkok, Thailand).

Systems and Control (section editor and introductory article),
Encyclopedia of Complexity and System Science,
R. Meyers ed., vol. IX, (2009) pp. 9104  9105. Springer.

Chronological Calculus in Systems and Control Theory.
In:
Encyclopedia of Complexity and System Science,
R. Meyers ed., vol. I, (2009) pp. 1027  1041. Springer.

Control interpretations of products in the Hopf algebra,
.pdf,
Proc.
48^{th} IEEE Conference on Decision and Control
(2009) pp. 75037508.

Literally Changing the Point of View,
.pdf,
Elec. Journal Math. Technology vol. 4, no.1 (2010).

(with JeanMichel Coron and Zhiqiang Wang)
Analysis of a conservation law modeling a highly reentrant manufacturing system
Discrete and
Continuous Dynamical Systems  Series B,
vol. 14 no. 4 (2010) pp. 1337  1359.
(arxiv).

Math Circles: Innovative Communities for Doing Mathematics
.pdf
Proc. Volcanic Delta 2011, 8^{th} Southern Hemisphere Conf.
Teaching Learning Undergrad. Math. & Stats.,
Publ. Universities of Canterbury and Auckland,
(2011) pp. 150  158.

(with F. Ancona and H. Hermes)
Homogeneous Resonance & Asymptotic Stability for Homogeneous Systems,
ESAIM
Control and Calculus of Variations (COCV),
(2013) (under revision).

(with J.P. Gauthier)
Minimal Complexity Sinusoidal Controls for Path Planning
.pdf,
in Proc. 53^{rd}
IEEE Conference on Decision and Control (2014) pp. 37313736.

Lie Algebraic Techniques in Nonlinear Control
(preprint)
in: Encyclopedia
of Systems and Control,
T. Samad and J. Baillieul, eds.,
Springer,
(2015), pp 631636,

Homogeneity in Control: Geometry and Applications
.pdf
Proc. 14^{th}
European Control Conference ECC 2015
(2015) pp. 24492457,
DOI: 10.1109/ECC.2015.7330906

Technology: Inquiry based learning, inverse questions, and control
.pdf,
Proc.
Asian Technology Conference in Mathematics
(2016).

(with H. Kierstead),
From a magic card trick to Hall's theorem
in: Inspiring Mathematics: Lessons from the Navajo Nation Math Circles,
MSRI Math Circles Library book series,
D. Auckly, T. Shubin et. al. (eds)
(2017)
(to appear).

K. Elamvazhuthi, M. Kawski, S. Biswal, V. Deshmukh, and S. Berman,
MeanField Controllability and Decentralized Stabilization of Markov Chains
in Proc. 53^{rd}
IEEE Conference on Decision and Control (2017) pp. 31313137,
https://arxiv.org/abs/1703.08243.

Math Circles for all Ages: From Navajo Math to the Research University
(preprint)
Proc. Brazil
Delta 2017, 11^{th} Southern Hemisphere Conf.
Teaching Learning
Undergrad. Math. & Stats., (2017) (to appear)

K. Elamvazhuthi, H. Kuiper, M. Kawski, and S. Berman,
Bilinear Controllability of a Class of AdvectionDiffusionReaction Systems
IEEE Transactions in Automatic Control,
(2017) (under revision).
https://arxiv.org/abs/1711.01696v2,

Algebraic Combinatorics in Controllability and Optimal Control,
(preprint)
in: Encyclopedia, in Algebra and Applications
A. Makhlouf, ed.
(2018, 2013), 60 pages (to appear).
Last updated October 17, 2018.
