Hostname: page-component-76fb5796d-vvkck Total loading time: 0 Render date: 2024-04-29T12:03:01.754Z Has data issue: false hasContentIssue false
  • English
  • Français

Controllability of neutral Volterra integrodifferential systems

Published online by Cambridge University Press:  17 February 2009

K. Balachandran
K. Balachandran
Affiliation:
Department of Mathematics, Bharathiar University, Coimbatore 641 046, Tamil Nadu, India.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Sufficent conditions for controllability of nonlinear neutral Volterra integrodifferential systems are established. Controllability of an infinite-delay neutral Volterra system is also considered.

Type
Research Article
Information
The ANZIAM Journal , Volume 34 , Issue 1 , July 1992 , pp. 18 - 25
Copyright
Copyright © Australian Mathematical Society 1992

References

[1] Angell, T. S., ‘On controllability for nonlinear hereditary systems; a fixed-point approach,” Nonlinear Analysis, Theory, Methods and Applications 4 (1980) 529–548.Google Scholar
[2] Banks, H. T. and Kent, G. A., “Control of functional differential equations of retarded and neutral type to target sets in function space,” SIAM J. Control 10 (1972) 567–593.CrossRefGoogle Scholar
[3] Chukwu, E. N., “Functional inclusion and controllability of nonlinear neutral functional differential systems,” J. Optimiz. Theory Appl. 29 (1979) 291–300.CrossRefGoogle Scholar
[4] Chukwu, E. N. and Simpson, H. C., “Perturbations of nonlinear systems of neutral type,” J. Differential Equations 82 (1989) 28–59.CrossRefGoogle Scholar
[5] Dauer, J. P., “Nonlinear perturbations of quasi-linear control systems,” J. Math. Anal. Appl. 54 (1976) 717–725.CrossRefGoogle Scholar
[6] Fuchs, E., “The degeneracy property in linear autonomous functional differential equations of neutral type,” J. Math. Anal. Appl. 90 (1983) 527–549.CrossRefGoogle Scholar
[7] Gahl, R. D., “Controllability of nonlinear systems of neutral type,” J. Math. Anal. Appl. 63 (1978) 33–42.CrossRefGoogle Scholar
[8] Hale, J. K., Theory of functional differential equations (Springer-Verlag, New York, 1977).CrossRefGoogle Scholar
[9] Jacobs, M. Q. and Langenhop, C. E., “Criteria for function space controllability of linear neutral systems,” SIAM J. Control Optim. 14 (1976) 1009–1048.CrossRefGoogle Scholar
[10] O'Connor, D. A., State controllability and observability for linear neutral systems, (D. Sc Thesis, Washington University, 1978).Google Scholar
[11] Onwuatu, J. U., “On the null-controllability in function space of nonlinear systems of neutral functional differential equations with limited controls,” J. Optimiz. Theory Appl. 42 (1984) 397–420.CrossRefGoogle Scholar
[12] Tadmore, G., “Functional differential equations of retarded and neutral type: analytic solutions and piecewise continuous controls,” J. Diff. Equations 51 (1984) 151–181.CrossRefGoogle Scholar
[13] Underwood, R. G. and Chukwu, E. N., “Null controllability of nonlinear neutral differential equations,” J. Math. Anal. Appl. 129 (1988) 326–345.CrossRefGoogle Scholar
[14] Wu, J., “Globally stable periodic solutions of linear neutral Volterra integrodifferential equations,” J. Math. Anal. Appl. 130 (1988) 474–483.CrossRefGoogle Scholar