, Volume 83, Issue 1, pp 167-179

Asymptotic null controllability of nonlinear perturbed systems

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Abstract

In this paper, sufficient conditions are obtained for the asymptotic null controllability of the system $$\dot x(t) = g(t,x(t)) + B(t,x(t))u(t) + f(t,x(t),u(t)).$$

The results are obtained by using the Leray-Schauder fixed-point theorem.

Communicated by R. Conti
Part of this work was done while the second author was visiting the University of Tennessee at Chattanooga during May 1993, and he is thankful to Professor J. P. Dauer for arranging this visit. The research of the second and third authors was supported by CSIR, New Delhi, India.