Examples Using Integral Equations to Determine Controllability

Jerald P. Dauer

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1975)

  • Volume: 58, Issue: 2, page 200-204
  • ISSN: 0392-7881

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Dauer, Jerald P.. "Examples Using Integral Equations to Determine Controllability." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 58.2 (1975): 200-204. <http://eudml.org/doc/291350>.

@article{Dauer1975,
author = {Dauer, Jerald P.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {2},
number = {2},
pages = {200-204},
publisher = {Accademia Nazionale dei Lincei},
title = {Examples Using Integral Equations to Determine Controllability},
url = {http://eudml.org/doc/291350},
volume = {58},
year = {1975},
}

TY - JOUR
AU - Dauer, Jerald P.
TI - Examples Using Integral Equations to Determine Controllability
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1975/2//
PB - Accademia Nazionale dei Lincei
VL - 58
IS - 2
SP - 200
EP - 204
LA - eng
UR - http://eudml.org/doc/291350
ER -

References

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  1. KALMAN, R. E., HO, Y. C. and NARENDRA, K. S. (1963) - Controllability of linear dynamical systems, «Contributions to Differential Equations», 1, 189-213. MR155070
  2. VIDYASAGAR, M. (1972) - A controllability condition for nonlinear systems, «IEEE Transactions on Automatic Control», AC-17, 569-570. Zbl0262.93008MR401251DOI10.1109/tac.1972.1100064
  3. DAUER, J. P. - Nonlinear perturbations of quasi-linear control systems, «Journal of Mathematical Analysis and Applications», to appear. MR415473DOI10.1016/0022-247X(76)90191-8
  4. COCHRAN, J. A. (1972) - The Analysis of Linear Integral Equations, McGraw-Hill, New York. MR447991
  5. HOLTZMAN, J. M. (1970) - Nonlinear System Theory. A Functional Analysis Approach, Prentice-Hall, Englewood Cliffs, New Jersey. MR274070
  6. HAMMERSTEIN, A. (1930) - Nichtlineare Integralgleichungen nebst Anwendungen, «Acta Math.», 54, 117-176. Zbl56.0343.03MR1555304DOI10.1007/BF02547519
  7. CROIN, J. (1964) - Fixed Points and Topological Degree in Nonlinear Analysis. American Mathematical Society, Providence. MR164101
  8. LEE, E. B. and MARKUS, L. (1967) - Foundations of Optimal Control Theory. John Wiley and Sons, New York. Zbl0159.13201MR220537
  9. KRASNOSEL'SKII, M. A. (1964) - Topological Methods in the Theory of Nonlinear Integral Equations. Pergamon Press, Oxford. MR159197
  10. DAUER, J. P. (1973) - Perturbations of linear control systems, «SIAM J. on Control», 9, 393-400. Errata, Ibid., 11, 395. MR317812

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