A theorem on the controllability of pertubated linear control systems

Ornella Naselli Ricceri

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1989)

  • Volume: 83, Issue: 1, page 89-91
  • ISSN: 1120-6330

Abstract

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In this Note, applying our recent Theorem 3.1 of [7], we prove that suitable perturbations of a completely controllable linear control system, do not affect the controllability of the system.

How to cite

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Naselli Ricceri, Ornella. "A theorem on the controllability of pertubated linear control systems." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 83.1 (1989): 89-91. <http://eudml.org/doc/287508>.

@article{NaselliRicceri1989,
abstract = {In this Note, applying our recent Theorem 3.1 of [7], we prove that suitable perturbations of a completely controllable linear control system, do not affect the controllability of the system.},
author = {Naselli Ricceri, Ornella},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Linear control system; Controllability; Perturbation; completely controllable linear control system},
language = {eng},
month = {12},
number = {1},
pages = {89-91},
publisher = {Accademia Nazionale dei Lincei},
title = {A theorem on the controllability of pertubated linear control systems},
url = {http://eudml.org/doc/287508},
volume = {83},
year = {1989},
}

TY - JOUR
AU - Naselli Ricceri, Ornella
TI - A theorem on the controllability of pertubated linear control systems
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1989/12//
PB - Accademia Nazionale dei Lincei
VL - 83
IS - 1
SP - 89
EP - 91
AB - In this Note, applying our recent Theorem 3.1 of [7], we prove that suitable perturbations of a completely controllable linear control system, do not affect the controllability of the system.
LA - eng
KW - Linear control system; Controllability; Perturbation; completely controllable linear control system
UR - http://eudml.org/doc/287508
ER -

References

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  1. CONTI, R., 1976. Linear differential equations and control. Academic Press. Zbl0356.34007MR513642
  2. DAUER, J.P., 1971. Perturbations of linear control systems. SIAM J. Control, 9: 393-400. Zbl0222.93007MR299300
  3. HERMES, H. and LASALLE, J.P., 1969. Functional analysis and time optimal control. Academic Press. Zbl0203.47504MR420366
  4. HIMMELBERG, C.J., 1975. Measurable relations. Fund. Math., 87: 53-72. Zbl0296.28003MR367142
  5. KANTOROVICH, L.V. and AKILOV, G.P., 1964. Functional analysis in normed spaces. Pergamon Press. Zbl0127.06102MR213845
  6. KUFNER, A., JOHN, O. and FUČIK, S., 1977. Function Spaces. Noordhoff. 
  7. NASELLI RICCERI, O. and RICCERI, B., Differential inclusions depending on a parameter. Bull. Pol. Acad. Sci. Math., to appear. Zbl0755.34014MR1101935

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