• Henk Nijmeijer
  • Arjan van der Schaft


This book is concernedwith nonlinear control systems described by either (ordinary) differential equations or difference equations with an emphasis on the first class of systems.


Periodic Orbit Equilibrium Point Admissible Control Nonlinear Control System Piecewise Constant Control 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [Arn76]
    V.I. Arnold. Méthodes mathématiques de la mécanique classique. Editions MIR, Moscou, 1976.Google Scholar
  2. [Arn80]
    V.I. Arnold. Ordinary differential equations. MIT Press, Cambridge (MA), 1980.Google Scholar
  3. [AS86]
    H. Asada and J.J.E. Slotine. Robot analysis and control. John Wiley & Sons, New York, 1986.Google Scholar
  4. [Bro80]
    R.W. Brockett. Global descriptions of nonlinear control problems; vector bundles and nonlinear control theory. Notes for a CBMS conference, manuscript, 1980.Google Scholar
  5. [CB80]
    P.E. Crouch and B. Bonnard. An appraisal of linear analytic system theory with applications to attitude control. ESA ESTEC Contract report, 1980.Google Scholar
  6. [CL55]
    E.A. Coddington and H. Levinson. Theory of ordinary differential equations. Mc Graw-Hill, New York, 1955.Google Scholar
  7. [Cra86]
    J.J. Craig. Introduction to robotics, mechanics and control. Addison Wesley, Reading, 1986.Google Scholar
  8. [Cro81]
    P.E. Crouch. Application of linear analytic systems theory to attitude control. ESA ESTEC report, 1981.Google Scholar
  9. [Cro84]
    P.E. Crouch. Spacecraft attitude control and stabilization: applications of geometric control theory to rigid body models. IEEE Trans. Aut. Contr., AC-29(4):321–331, 1984.Google Scholar
  10. [GH83]
    J. Guckenheimer and P. Holmes. Nonlinear oscillations, dynamical systems and bifurcations of vectorfields. Springer Verlag, Berlin, 1983.Google Scholar
  11. [HK86]
    K.A. Hoo and J.C. Kantor. Global linearization and control of a mixed-culture bioreactor with competition and external inhibition. Math. Biosci., 82:43–62, 1986.Google Scholar
  12. [HS74]
    M.W. Hirsch and S. Smale. Differential equations, dynamical systems, and linear algebra. Academic Press, New York, 1974.Google Scholar
  13. [Lob70]
    C. Lobry. Controlabilité des syst`emes non linéaires. SIAM J. Contr., 8:573–605, 1970.Google Scholar
  14. [Nij89]
    H. Nijmeijer. On dynamic decoupling and dynamic path controllability in economic systems. Journ. of Economic Dynamics and Control, 13:21–39, 1989.Google Scholar
  15. [NvdS84]
    H. Nijmeijer and A.J. van der Schaft. Controlled invariance for nonlinear systems: two worked examples. IEEE Trans. Aut. Contr., AC-29:361–364, 1984.Google Scholar
  16. [Oll84]
    D.F. Ollis. Competition between two species when only one has antibiotic resistance: Chemostat analysis. paper presented at AIChE meeting, San Francisco, 1984.Google Scholar
  17. [Pau81]
    R.P. Paul. Robot manipulators: mathematics, programming and control. MIT Press, Cambridge (MA), 1981.Google Scholar
  18. [SG59]
    J.L. Synge and B.A. Griffiths. Principles of mechanics. McGraw-Hill, New York, 1959.Google Scholar
  19. [Sus77]
    H.J. Sussmann. Existence, and uniqueness of minimal realizations of nonlinear systems. Math. Systems Theory, 10:263–284, 1977.Google Scholar
  20. [vdS84]
    A.J. van der Schaft. System theoretic descriptions of physical systems. CWI Tract 3, Centrum voor Wiskunde en Informatica, Amsterdam, 1984.Google Scholar
  21. [Wil79]
    J.C.Willems. System theoretic models for the analysis of physical systems. Ricerche di Automatica, 10:71–106, 1979.Google Scholar
  22. [WK84]
    H.W.Wohltmann and W. Kr¨omer. Sufficient conditions for dynamic path controllability of economic systems. Journ. of Economic Dynamics and Control, 7:315–330, 1984.Google Scholar

Copyright information

© Springer Science+Business Media New York 1990, Corrected printing 2016 1990

Authors and Affiliations

  1. 1.Dynamics and Control GroupEindhoven University of TechnologyEindhovenThe Netherlands
  2. 2.Johann Bernoulli Institute for Mathematics and Computer ScienceUniversity of GroningenGroningenThe Netherlands

Personalised recommendations