計測自動制御学会論文集
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
未知ポテンシャル係数をもつ確率的熱拡散方程式の境界適応制御
相原 伸一
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ジャーナル フリー

1995 年 31 巻 9 号 p. 1400-1407

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An adaptive boundary control problem for a stochastic heat diffusion equation is studied. The considered system contains the unkown potential coefficient which is a function of a spatial variable. The estimation algorithm for the unknown potential coefficient is proposed by using the stochastic approximation technique. After showing the strong consistency of the estimated parameter, the cost for the adaptive control scheme presented here is shown to converge to the optimal ergodic cost. Finally some numerical examples are shown.

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