Abstract
In this work, we study the approximate controllability for a class of control systems governed by semilinear equations with infinite delay in Hilbert spaces. Sufficient conditions for approximate controllability are established by constructing fundamental solution and using resolvent condition and techniques on fractional power operators. As an illustration of the application of the obtained results, an example is also provided.
| Original language | English |
|---|---|
| Pages (from-to) | 71-89 |
| Number of pages | 19 |
| Journal | Journal of Dynamical and Control Systems |
| Volume | 22 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jan 2016 |
Keywords
- Approximate controllability
- Fractional power operator
- Fundamental solution
- Infinite delay
- Resolvent condition