兰州文理学院教育学院
纸质出版:2024
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[1]何明霞,王静.具有无穷时滞的积微分方程的最优控制[J].新疆大学学报(自然科学版)(中英文),2024,41(03):288-295.
[1]何明霞,王静.具有无穷时滞的积微分方程的最优控制[J].新疆大学学报(自然科学版)(中英文),2024,41(03):288-295. DOI: 10.13568/j.cnki.651094.651316.2023.09.14.0001.
DOI:10.13568/j.cnki.651094.651316.2023.09.14.0001.
研究了一类具有无穷时滞和瞬时脉冲的积微分方程的最优化控制问题.利用分数幂算子、相空间理论、Gronwall不等式和不动点定理得到了在空间解的存在性的充分条件
然后使用最小化序列给出了积分成本函数的最优化控制的充分条件.
The optimal control problem for a class of integro-differential equations with infinite delay and instantaneous impulse is studied. By using fractional power operator
phase space theory
Gronwall's inequality and fixed point theorem
the sufficient conditions for the existence of solutions in space are obtained
and then the sufficient conditions for the optimal control of the integral cost function are given by using the minimization sequence.
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