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Time optimal control to a partial stochastic differential system with pseudo almost periodic coefficients
International Journal of Control ( IF 2.1 ) Pub Date : 2021-03-31 , DOI: 10.1080/00207179.2021.1905184
Zuomao Yan 1
Affiliation  

In this paper, we study the time optimal control of a class of partial stochastic impulsive functional differential systems with pseudo almost periodic coefficients in the α-norm functional spaces. Firstly, the existence of p-mean piecewise pseudo almost periodic mild solutions for the impulsive stochastic control systems is investigated by utilising stochastic analysis, analytic semigroup, the fixed-point techniques with fractional power arguments. Secondly, the existence of time optimal pairs of a system governed by partial stochastic impulsive functional differential equations is also obtained. Finally, two examples are provided to illustrate the time optimal control problems of parabolic control system with pseudo almost periodic coefficients and impulses.



中文翻译:

伪近周期系数偏随机微分系统的时间最优控制

本文研究了一类在α范数泛函空间中具有伪近周期系数的偏随机脉冲泛函微分系统的时间最优控制。首先,利用随机分析、解析半群、带分数幂论证的不动点技术研究了脉冲随机控制系统的p-均值分段伪几乎周期温和解的存在性。其次,还得到了由偏随机脉冲泛函微分方程控制的系统的时间最优对的存在性。最后,通过两个例子说明了具有伪近似周期系数和脉冲的抛物线控制系统的时间最优控制问题。

更新日期:2021-03-31
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