论文标题

部分可观测时空混沌系统的无模型预测

Total Controllability of nonlocal semilinear functional evolution equations with non-instantaneous impulses

论文作者

Kumar, J., Singh, S., Arora, S., Dabas, J.

论文摘要

在本文中,我们正在讨论一个更重要的可控性概念,称为总可控性。我们考虑了一个非局部半线性功能进化方程,具有非恒定冲动和希尔伯特空间中有限的延迟。通过施加C_0-序列和Banach固定点定理的理论,可以为所考虑的进化系统获得一组完全可控性的条件。我们还建立了功能性整数分化方程的总可控性结果。最后,给出了一个示例来证明派生的抽象结果的可行性。

In this article, we are discussing a more vital concept of controllability, termed total controllability. We have considered a nonlocal semilinear functional evolution equations with non-instantaneous impulses and finite delay in Hilbert spaces. A set of sufficient conditions of total controllability is obtained for the evolution system under consideration, by imposing the theory of C_0-semigroup and Banach fixed point theorem. We also established the total controllability results for a functional integro-differential equation. Finally, an example is given to demonstrate the feasibility of derived abstract results.

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