Abstract
In this work, we study the approximate controllability for a class of neutral control systems governed by semi-linear neutral equations with infinite delay in Hilbert space. Sufficient conditions for approximate controllability are established by constructing fundamental solutions and using resolvent condition and techniques of fractional power operators. An example is also provided to illustrate the applications of the obtained results.
| Original language | English |
|---|---|
| Pages (from-to) | 1122-1146 |
| Number of pages | 25 |
| Journal | International Journal of Robust and Nonlinear Control |
| Volume | 27 |
| Issue number | 7 |
| DOIs | |
| State | Published - 10 May 2017 |
Keywords
- approximate controllability
- fractional power operator
- fundamental solution
- neutral system with infinite delay
- resolvent condition