Local and global null controllability of time varying linear control systems

F. Colonius; R. Johnson

ESAIM: Control, Optimisation and Calculus of Variations (1997)

  • Volume: 2, page 329-341
  • ISSN: 1292-8119

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Colonius, F., and Johnson, R.. "Local and global null controllability of time varying linear control systems." ESAIM: Control, Optimisation and Calculus of Variations 2 (1997): 329-341. <http://eudml.org/doc/90510>.

@article{Colonius1997,
author = {Colonius, F., Johnson, R.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {time varying linear control systems; measurable selection theorem; null controllability; invariant ergodic measure; Lyapunov exponents},
language = {eng},
pages = {329-341},
publisher = {EDP Sciences},
title = {Local and global null controllability of time varying linear control systems},
url = {http://eudml.org/doc/90510},
volume = {2},
year = {1997},
}

TY - JOUR
AU - Colonius, F.
AU - Johnson, R.
TI - Local and global null controllability of time varying linear control systems
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 1997
PB - EDP Sciences
VL - 2
SP - 329
EP - 341
LA - eng
KW - time varying linear control systems; measurable selection theorem; null controllability; invariant ergodic measure; Lyapunov exponents
UR - http://eudml.org/doc/90510
ER -

References

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  3. [3] F. Colonius, W. Kliemann: Control theory and dynamical systems, In Six Lectures on Dynamical Systems, B. Aulbach, F. Colonius eds., World Scientific, 1996, 121-161. Zbl0919.34058MR1441124
  4. [4] I. Ekeland, R. Temam: Convex Analysis and Variational Problems, North-Holland, Amsterdam, 1976. Zbl0322.90046MR463994
  5. [5] R. Ellis: Lectures on Topological Dynamics, Benjamin, New York, 1969. Zbl0193.51502MR267561
  6. [6] R. Johnson: Remarks on linear differential equations with interval spectrum, Proc. Am. Math. Soc., 100, 1987, 491-504. Zbl0636.34038MR891153
  7. [7] R. Johnson, M. Nerurkar: On null controllability of linear systems with recurrent coefficients and constrained controls, J. Dynamics and Diff. Eqns., 4, 1992, 259-278. Zbl0765.34047MR1160922
  8. [8] R. Johnson, M. Nerurkar: Global null controllability of linear control processes with positive Lyapounov exponents, In Festschrift in honor of L. Markus, Marcel-Dekker Inc., New York, 1994, 605-622. Zbl0792.93013MR1243227
  9. [9] R. Johnson, K. Palmer, G. Sell: Ergodic properties of linear dynamical systems, SIAM J. Math. Anal., 18, 1987, 1-33. Zbl0641.58034MR871817
  10. [10] V. Oseledec: A multiplicative ergodic theorem. Lyapounov characteristic numbers for dynamical systems, Trans, Moscow Math. Soc., 19, 1968, 197-231. Zbl0236.93034MR240280
  11. [11] L. Pandolfi: Linear control systems. Controllability with constrained control, J. Optimiz. Theory and Appl., 19, 1976. Zbl0309.93002MR425737
  12. [12] R. Sacker, G. Sell: A spectral theory of linear differential equations, J. Diff. Eqns., 27, 1978, 320-358. Zbl0372.34027MR501182
  13. [13] W. E. Schmittendorf, B. R. Barmish: Null controllability of linear control systems with constrained controls, SIAM J. Control and Optimization, 18, 1980, 327-345. Zbl0457.93012MR579544
  14. [14] I. Ya. Schneiberg: Zeroes of integrals along trajectories of ergodic systems, Trans. Funk. Anal. Priloz., 19, 1985. Zbl0584.60047

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