In this paper we study boundary optimal control of an evolutionary system governed by a history‐dependent variational‐hemivariational inequality. The inequality is a weak formulation of a dynamic frictional contact problem for a viscoelastic body with a multivalued normal damped response condition and a simplified version of the Coulomb law of dry friction. A continuous dependence result for the solution map is proved and the existence of optimal solutions to the control problem is established.

中文翻译：

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动态摩擦接触问题的边界最优控制

在本文中，我们研究了由历史依赖的变分半变异性不等式控制的演化系统的边界最优控制。对于具有多值法向阻尼响应条件和干摩擦库仑定律的简化版本，该不等式是对粘弹性体的动摩擦接触问题的一个较弱的表述。证明了解图的连续依赖结果，并建立了控制问题的最优解的存在。