Title:
|
Null controllability of nonlinear infinite neutral system (English) |
Author:
|
Onwuatu, Jerry U. |
Language:
|
English |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 |
Volume:
|
29 |
Issue:
|
4 |
Year:
|
1993 |
Pages:
|
325-338 |
. |
Category:
|
math |
. |
MSC:
|
34K35 |
MSC:
|
34K40 |
MSC:
|
93B05 |
MSC:
|
93C15 |
MSC:
|
93C30 |
idZBL:
|
Zbl 0925.93080 |
idMR:
|
MR1247881 |
. |
Date available:
|
2009-09-24T18:41:08Z |
Last updated:
|
2012-06-06 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125634 |
. |
Reference:
|
[1] K. J. Arrow: Production and Capital.Collected papers of Kenneth Arrow, the Beknop Prec. of Harvard University Press, Cambridge, Mass. 1985. |
Reference:
|
[2] R. Brayton: Nonlinear oscillations in a distributed network.Quart. Appl. Math. 24 (1976), 239-301. |
Reference:
|
[3] E. N. Chukwu: On the null controllability of nonlinear systems with retarded control.J. Math. Anal. Appl. 76 (1980), 283-396. MR 0586663 |
Reference:
|
[4] E. N. Chukwu: Global asymptotic behaviour of functional differential equations of the neutral type.Nonlinear Analysis, Theoгy, Methods and Appl. 5 (1981), 5, 853-872. Zbl 0482.34053, MR 0628106 |
Reference:
|
[5] R. D. Driver: A functional differential system of neutral type in a two-body problem of classical electrodynamics.In: Nonlinear Differential Equations and Nonlinear Mechanics, Academic Press, New York 1963. MR 0146486 |
Reference:
|
[6] L. E. Elsgoltz: Qualitative Methods in Mathematical Analysis.Tгans. Math. Mono, 12, American Math. Soc. 1964. MR 0170048 |
Reference:
|
[7] R. Gabasov, F. M. Kirrilova: The Quantitative Theory of Optimal Processes.Marcel Dekker, New York 1976. |
Reference:
|
[8] R. D. Gahl: Controllability of nonlinear systems of neutral type.J. Math. Anal. Appl. 65 (1978), 33-42. Zbl 0406.34052, MR 0479492 |
Reference:
|
[9] J. K. Halle, M. A. Cruz: Existence, uniqueness and continuous dependence for hederitary systems.Ann. Mat. Pura Appl. 85 (1970), 63-82. |
Reference:
|
[10] J. K. Hale: Functional differential equations with infmite delays.J. Math. Anal. Appl. 48 (1974), 276-283. MR 0364813 |
Reference:
|
[11] J. K. Hale: Theory of Functional Differential equations.Spгinger-Verlag, New York 1977. Zbl 0352.34001, MR 0508721 |
Reference:
|
[12] H. Hermes, J. P. LaSalle: Functional Analysis and Time Optimal Control.Academic Press, New York 1969. Zbl 0203.47504, MR 0420366 |
Reference:
|
[13] M. Kalecki: A macrodynamic theory of business cycles.Econometrica 3 (1935), 327-344. |
Reference:
|
[14] L. V. Kantorovich, G. P. Akilov: Functional Analysis.Pergamon Press, Oxford 1982. Zbl 0484.46003, MR 0664597 |
Reference:
|
[15] G. Knowles: An Introduction to Applied Optimal Control.Academic Press, New York 1981. Zbl 0469.49001, MR 0637574 |
Reference:
|
[16] J. U. Onwuatu: On the null contгollability in function-space of nonlinear system of neutral functional differential equations with limited control.J. Optim. Theory Appl. 42 (1984), 397-420. MR 0737837 |
Reference:
|
[17] G. Stépán: Retarded Dynamical Systems: Stability and Characteгistic Functions.John Wiley, New York 1989. MR 1028551 |
Reference:
|
[18] A. S. C. Sinha: Null controllability of nonlinear infinite delay systems with restrained controls.Internat. J. Control 42 (1985), 735-741. Zbl 0595.93007, MR 0812983 |
. |