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Controllability of nonlinear perturbations of linear systems with distributed delays in control

Published online by Cambridge University Press:  09 March 2009

K. Balachandran
K. Balachandran
Affiliation:
Department of Mathematics, Bharathiar University, Coimbatore 641 046 Tamil Nadu (India)
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Summary

Sufficient conditions are derived for the relative controllability of nonlinear perturbations of linear systems with distributed delays in control variable. The results are a generalization of previous results and are obtained by using Schauder's fixed point theorem.

Type
Article
Information
Robotica , Volume 3 , Issue 2 , April 1985 , pp. 89 - 91
Copyright
Copyright © Cambridge University Press 1985

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References

1Balachandran, K. and Somasundaram, D., ‘Controllability of a class of nonlinear systems with distributed delays in control’ Kybernetika 19, No. 6, 475–482 (1983).Google Scholar
2Balachandran, K. and Somasundaram, D., ‘Controllability of nonlinear systems consisting of a bilinear mode with time varying multiple delays in control’ Automatica 20, No. 2, 257–258 (1984).Google Scholar
3Dacka, C., ‘Relative controllability of perturbed nonlinear systems with delay in control’ IEEE Trans. Aut. Control AC-27, No. 1, 268–270 (1982).CrossRefGoogle Scholar
4Dauer, J.P., ‘Nonlinear perturbations of quasi-linear control systems’ J. Math. Anal. Appl. 54, No. 3, 717–725 (1976).CrossRefGoogle Scholar
5Dauer, J.P. and Gahl, R.D., ‘Controllability of nonlinear delay systems’ J. Optimiz. Theory and Appl. 21, No. 1, 59–70 (1977).CrossRefGoogle Scholar
6Klamka, J., ‘Relative controllability and minimum energy control of linear systems with distributed delays in control’ IEEE Trans. Aut. Control AC-21, No. 3, 594–595 (1976).CrossRefGoogle Scholar
7Klamka, J., ‘ Controllability of nonlinear systems with distributed delays in control ’ Int. J. Control 31, No. 5, 811–819 (1980).Google Scholar