Controllability of time varying semilinear non-instantaneous impulsive systems with delay, and nonlocal conditions. (English) Zbl 1501.93016
Summary: In this paper we prove the exact controllability of a time varying semilinear system considering non-instantaneous impulses, delay, and nonlocal conditions occurring simultaneously. It is done by using the Rothe’s fixed point theorem together with some sub-linear conditions on the nonlinear term, the impulsive functions, and the function describing the nonlocal conditions. Furthermore, a control steering the semilinear system from an initial state to a final state is exhibited.
MSC:
| 93B05 | Controllability |
| 93C27 | Impulsive control/observation systems |
| 93C10 | Nonlinear systems in control theory |
| 93C43 | Delay control/observation systems |
Keywords:
exact controllability; semilinear time varying control systems; non-instantaneous impulses; delay; nonlocal conditions; Rothe’s fixed point theoremReferences:
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