Journal of Optimization Theory and Applications

, Volume 83, Issue 1, pp 167–179

Asymptotic null controllability of nonlinear perturbed systems


  • J. P. Dauer
    • Department of MathematicsUniversity of Tennessee at Chattanooga
  • K. Balachandran
    • Department of MathematicsBharathiar University
  • P. Balasubramaniam
    • Department of MathematicsBharathiar University
Contributed Papers

DOI: 10.1007/BF02191767

Cite this article as:
Dauer, J.P., Balachandran, K. & Balasubramaniam, P. J Optim Theory Appl (1994) 83: 167. doi:10.1007/BF02191767


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.

Key Words

Controllabilitynonlinear systemsperturbations

Copyright information

© Plenum Publishing Corporation 1994