Matthias Kawski Dept. of Mathematics and Statistics Arizona State University

Publications and Preprints                        

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directory listing for preprints (Please respect the copyright, consult the official publisher for details).
Most recent publications                                                 Reviews at MathSciNet

Several ancient papers have been recompiled from old files and may not exacly match the published versions.
Please send e-mail () to report any problems, likely mostly formatting -- with these files.

2. Local controllability of a single-input, affine system,
(with H. G. Hermes) in: Nonlinear Analysis and Applications, V. Laksmikantham, ed.,
Lecture Notes Pure and Applied Mathematics, vol. 109 (1987) pp. 235-248. (Dekker)

3. Nilpotent Lie algebras of vector fields, (abstract: .ps 26kB)
Journal für die Reine und Angewandte Mathematik, vol. 188 (1988) pp. 1-17.

4. Control variations and local controllability, (.ps 154kB)
in: Analysis and Control of Nonlinear Systems, C. I. Byrnes, C. F. Martin, R. E. Saeks, eds.,
(1988) pp. 165-174. (Elsevier)

5. Control variations with an increasing number of switchings, (.ps 95kB)
Bulletin American Mathematical Society, vol. 18 no. 2 (1988) pp. 149-152.

6. An angular open mapping theorem, (.ps 350kB, .pdf 180kB re-typeset from old sources)
in: Analysis and Optimization of Systems, A. Bensoussan and J. L. Lions, eds.,
Lecture Notes in Control and Information Sciences, vol. 111 (1988) pp. 361-371. (Springer)

7. Stabilizability and nilpotent approximations, (.ps 137kB)
Proc. 27th IEEE Conference Decision and Control, Austin (1988) pp. 1244-1248.

8. Stabilization of nonlinear systems in the plane, (.ps 155kB, .pdf 144kB)
Systems and Control Letters, vol. 12 no. 3 (1989) pp. 169-175.

9. Controllability, approximations, and stabilization,
in: Computation and Control, K. Bowers, J. Lund eds.,
Progress in Systems and Control Theory, vol. 1 (1989) pp. 155-167 (Birkhäuser).

10. Homogeneous feedback laws in dimension three,
Proc. 28th IEEE Conference Decision and Control, Tampa (1989) pp. 1370-1375.

11. High-order small-time local controllability, (preprint .pdf 273B)
in: Nonlinear Controllability and Optimal Control, H. J. Sussmann, ed., (1990) pp. 441-477. (Dekker)

12. The complexity of deciding controllability,
Systems and Control Letters, vol. 15, no. 1, (1990) pp. 9-14.

13. Homogeneous stabilizing feedback laws, (.ps 284kB)
Control Theory and Advanced Technology (C-TAT, Tokyo), vol. 6 no. 4 (1990), pp. 497-516.

14. Homogeneous feedback stabilization, (.ps 153kB)
in: New Trends in Systems Theory, G. Conte, A. M. Perdon and B. Wyman eds.,
Progress in Systems and Control Theory, vol. 7 (1991) pp. 464-471. (Birkhäuser)

15. Families of dilations and asymptotic stability,
in: Analysis of Controlled Dynamical Systems, B. Bonnard, B. Bride, J. P. Gauthier and I. Kupka, eds.,
Progress in Systems and Control Theory, vol.8 (1991) pp. 285-294. (Birkhäuser)

16. Application of homogeneity to nonlinear adaptive control,
in: Computation and Control II, .K. Bowers, J. Lund eds.,
Progress in Systems and Control Theory, vol. 11 (1991) pp. 225-236. (Birkhäuser)

17. Practical Computation of accessibility, controllability, and nilpotent approximations,
in: Algebraic Computing in Control, G. Jacob and F. Lamnabhi-Lagarrigue, eds.,
Lecture Notes in Control and Information Sciences, vol. 165,(1991) pp.334-345. (Springer)

18. High order conditions for local controllability in practice,
in: Recent Advances in Mathematical Theory of Systems, Networks and Signal Processing,
H. Kimura and S.Kodama, eds., (1992) pp. 271-276 (mita-press, Tokyo).

19. Feedback stabilization, homogeneity, and nonlinear dynamics on spheres and SO(3),
in: Recent Advances in Mathematical Theory of Systems, Networks and Signal Processing,
H. Kimura and S.Kodama, eds., (1992) pp. 365-370 (mita-press, Tokyo).

20. Combinatorics of realizations of nilpotent control system , (.ps 154kB)
in: Nonlinear Control Systems Design, Selected papers of IFAC symposium,
M. Fliess, ed., (1993), pp.251-256.

21. Chronological algebras and nonlinear control, (.ps 116kB)
Proc. Asian Control Conference, Tokyo (1994).

22. Geometric homogeneity and applications to stabilization, (.ps 163kB)
in: Nonlinear Control Systems Design, A.Krener and D.Mayne, eds.,
(1995), pp.147-152. (Elsevier).

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

24. An introduction to practical MAPLE 3D-graphics, .ps 222kB) (with S. Holland),
Proc. CoMath 95, (Birkhäuser) (not yet published).

25. 3D-graphics for iterated integrals, (with S. Holland), (ps.gz 430kB, ps.Z 830kB, .ps 2.5MB).
MAPLE-Tech, vol.4 no.1, (1997) pp. 92-98.

26. Computer Visualization and Vector Calculus, (.ps 392kB)
in: Computer Technology in Mathematical Research and Teaching,
W.-C. Yang and Y.Abu Hassan, eds., (1997) pp. 100-114.

27. Noncommutative power series and formal Lie-algebraic techniques in
      in nonlinear control theory (with H.J.Sussmann) (.ps 335kB)
in: Operators, Systems, and Linear Algebra, U. Helmke, D. Pratzel-Wolters and E. Zerz, eds.,
(1997), pp.111-128. (Teubner)

28. How CAS and visualization lead to a complete rethinking of an introduction
      to vector calculus, (.ps 654kB),
Proc. 3rd Intl. Conf. Techn. in Math.Teaching, Koblenz (1997).

29. Nonlinear control and combinatorics of words (.ps 342kB),
in: Geometry of Feedback and Optimal Control,
B. Jakubczyk and W. Respondek, eds., (1998), pp.305-346. (Dekker)

30. Optimal controls for nilpotent systems, (.ps 296kB),
in: Math. Theory of Networks and Systems, A.Beghi, L.Finesso, G.Picci, eds.,
(1999), pp. 257-260. (Poligrafo).

31. Controllability via chronological calculus, (.ps 172kB),
Proc. 38th IEEE Conference Decision and Control, Phoenix (1999) pp. 2920-2925.

32. An interactive JAVA vector field analyzer, (with S. Holland) (.ps.gz 160kB, .ps 5MB)
Proc. ICSEE 2000 (Internat. Conf. Simulation in Engineerg. Educ.)
H.Vakilzadian and C.R.Wie eds., (2000) pp.53-58.

33. Chronological algebras: combinatorics and control, (.ps 660kB)
Itogi Nauki i Techniki, vol.68 (2000) pp.144-178.
English translation in J. Math.Sciences, vol. 103 (2001) pp. 725-744.

34. Calculating the logarithm of the Chen Fliess series, (.ps 215kB)
Proc. MTNS 2000., Perpignan, France, (2000)

35. Controllability and coordinates of the first kind, (.ps 555kB)
in: Contemporary Trends in Nonlinear Geometric Control Theory and its Applications
A. Anzaldo-Meneses, B. Bonnard, J.P. Gauthier, F. Monroy-Perez, eds. (2002) pp.381-404. (World Scientific)

36. Calculus of nonlinear interconnections with nonlinear applications, (.ps 176kB, pdf 170kB)
Proc. 39th IEEE Conference Decision and Control, Sydney (2000) pp. 1661-1666.

37. The combinatorics of nonlinear controllability and noncommuting flows (.pdf 520 kB, .ps 1189 kB),
Abdus Salam ICTP Lecture Notes series vol. 8 (2002) pp. 223-312.

38. Needle variations that cannot be summed, (revised version Aug.21, 2002: .ps 653 kB), .pdf 284 kB),
(with R.-M. Bianchini) SIAM Journal of Control & Optimization 42 no.1 (2003), pp. 218--238.

39. Interactive visualization in complex analysis (.doc 600 kB),
elec. Proc. 2nd Internat. Conf. Math Teaching, Crete, Greece (2002).

40. Lack of convexity for tangent cones of needle variations, (.ps 406 kB, .pdf 185 kB),
(with R.-M. Bianchini) Proc.IEEE Conference on Decision and Control (2002).

41. Curvature for Everyone (.ps, .pdf).
Proceedings 8^thatcm (Asian Technology Conf. Mathematics), Taiwan (2003).

42. High Order Maximal Principles, (preprint: .ps 451 kB; final: .pdf 205 kB),
in: New Trends in Nonlinear Dynamic and Control, and their Applications, (Springer-Link)
W. Kang, M. Xiao, and C. Borges, eds.,
Lecture Notes Control and Information Sciences (2003) pp. 313--326. (Springer)

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

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

45. Bases for Lie algebras and a continuous CBH formula, (.ps 256 kB, .pdf 125 kB),
in: Unsolved Problems in Mathematical Systems and Control Theory
V. Blondel and A. Megretski, eds., Princeton Univ. Press (2004) pp. 97--102.

46. Nilpotent bases of distributions, (.ps 234 kB, .pdf 185 kB),
(with H. G. Hermes) in: Unsolved Problems in Mathematical Systems and Control Theory
V. Blondel and A. Megretski, eds., Princeton Univ. Press (2004) pp. 321--325.

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

48. On the problem whether controllability is finitely determined, (.pdf 83kB)
Proc. MTNS 2006 Kyoto, Japan (2006).

49. Canonical operators on graphs .pdf (200 kB) (with T. Taylor),
pp. 221-237 in Modeling, Estimation and Control, LNCIS 364,
A. Chiuso, A. Ferranti and S. Pinzoni (eds), (2007), pp. 221-237. (Springer Verlag)

50. Teaching university mathematics and coaching youth soccer: Problem solving .pdf (67 kB).
Proceedings delta 07 (6th Southern Hemisphere Symp. Undergrad. Mathematics Teaching),
(2007), pp. 81 - 90. (Montevideo, Uruguay).

51. Dynamic visualization in advanced undergraduate courses .pdf (1.4 MB).
Proceedings delta 07 (6th Southern Hemisphere Symp. Undergrad. Mathematics Teaching),
(2007), pp. 91 - 100. (Montevideo, Uruguay).

52. Curvature of optimal control: Deformation of scalar-input planar systems, (with P. Maxwell), .pdf (1 MB).
Control and Cybernetics (special issue IFIP) (to appear)

53. A Hopf-algebraic formula for compositions of noncommuting flows (with E.Gehrig)
IEEE Conference on Decision and Control (accepted)

54. Control and dynamical systems (section editor and intro article)
Encyclopedia of Complexity and System Science, Springer (to appear, accepted Apr. 2008).

55. Chronological Calculus in Systems and Control Theory, (30 pages).
In: Encyclopedia of Complexity and System Science, Springer (to appear, accepted Apr. 2008).