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Trajectory controllability of semilinear systems with delay in control and state

机译:延迟控制与状态的半线性系统的轨迹可控性

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In this paper we consider the finite-dimensional dynamical control system described by scalar semilinear ordinary differential state equation with variable delay. The semilinear state equation contains both pure linear part and nonlinear perturbation. We extend the concept of controllability on trajectory controllability for systems with point delay in control and in nonlinear term. Moreover, we present remarks and comments on the relationships between different concepts of controllability. Finally we propose the possible extensions.
机译:在本文中,我们考虑了具有可变延迟的标量半线性常规状态方程描述的有限维动力控制系统。 半线性状态方程包含纯线性部分和非线性扰动。 我们扩展了对控制点延迟和非线性术语的系统的轨迹可控性的可控性概念。 此外,我们展示了对不同概念之间的关系的备注和评论。 最后,我们提出了可能的扩展。

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