Results on controllability and well-posedness of functional abstract second-order differential equations with state-dependent delay. (English) Zbl 1516.34118
Summary: The major goal of this study is to demonstrate the existence and controllability of a second-order abstract differential system with state-dependent delay. We also discuss the well-posedness of the problem at hand. Finally, some examples are provided for the illustration of the main results.
MSC:
| 34K43 | Functional-differential equations with state-dependent arguments |
| 93C10 | Nonlinear systems in control theory |
| 93C55 | Discrete-time control/observation systems |
Keywords:
abstract differential equation; cosine families; state-dependent delay; well-posedness; controllabilityReferences:
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