Approximate controllability for semilinear retarded control equations using surjectivity results. (English) Zbl 1425.93042
Summary: Sufficient conditions for approximate controllability of semilinear retarded functional control equations are obtained under general conditions on nonlinear terms. To get the main result, we transform the controllability problem into surjectivity results similar to Fredholm alternative for nonlinear operators under restrictive assumptions. Finally, a simple example to which our main result can be applied is given.
MSC:
| 93B05 | Controllability |
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 93C25 | Control/observation systems in abstract spaces |
| 93C10 | Nonlinear systems in control theory |
Keywords:
approximate controllability; semilinear control equations; retarded control equations; controller; surjectivity resultReferences:
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