Article ID: | iaor2012624 |
Volume: | 152 |
Issue: | 3 |
Start Page Number: | 799 |
End Page Number: | 813 |
Publication Date: | Mar 2012 |
Journal: | Journal of Optimization Theory and Applications |
Authors: | Balachandran K, Arthi G |
Keywords: | control |
In this paper, the controllability problem is discussed for the damped second‐order impulsive neutral functional differential systems with infinite delay in Banach spaces. Sufficient conditions for controllability results are derived by means of the Sadovskii fixed point theorem combined with a noncompact condition on the cosine family of operators. An example is provided to illustrate the theory.