分数阶抛物方程控制系统最优控制的稳定性

摘要

In this paper, we study an optimal control problem governed by fractional order parabolic equations. We discuss the stability property for the optimal control and the optimal value. By the convex method, we obtain certain convergence properties for these controlled systems, and it is a general versions of the conclusion proved in reference [3].%本文研究了一类分数阶抛物方程的最优控制问题，主要讨论了其最优控制与最优值的稳定性。利用了凸方法获得了获得了这类问题最优控制的稳定性结果，并且推广了在参考文献[3]中的最优控制稳定性结论。