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Optimal Feedback Control Results for Damped Second-Order Stochastic Neutral Impulsive Evolution Systems
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DOI：10.1080/01630563.2026.2642823.png)
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Abstract
En 中文
The primary focus of this article is to investigate the optimal feedback control for second-order damping stochastic neutral impulsive evolution systems in separable Hilbert spaces. To establish the necessary conditions for the proposed problem, the theory of strongly continuous cosine families and Bohnenblast-Karlin's fixed point theorem for multivalued maps is utilized to demonstrate a mild solution for second-order evolution inclusions. Subsequently, we introduce a novel set of sufficient assumptions, employing the Cesari property and the Filippove theorem, to guarantee the existence of feasible pairs in feedback control systems associated with Lagrange control problems. Finally, we illustrate our main results through a application.
Keywords:
Damping systems
impulsive systems
optimal feedback control
second-order evolution systems
stochastic systems
Journal
N
IF:
1.4
Papers:
12
Citations:
0