<p style='text-indent:20px;'>This paper presents computational methods for families of linear systems depending on a parameter. Such a family is called ensemble controllable if for any family of parameter-dependent target states and any neighborhood of it there is a parameter-independent input steering the origin into the neighborhood. Assuming that a family of systems is ensemble controllable we present methods to construct suitable open-loop input functions. Our approach to solve this infinite-dimensional task is based on a combination of methods from the theory of linear integral equations and finite-dimensional control theory.</p>

中文翻译：

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统一集成可控系统的开环输入计算

<p style='text-indent:20px;'>本文介绍了基于参数的线性系统族的计算方法。如果对于任何与参数相关的目标状态族及其任何邻域，都有一个与参数无关的输入将原点引导到邻域，则这样的族称为集成可控。假设一系列系统是集成可控的，我们提出了构建合适的开环输入函数的方法。我们解决这个无限维任务的方法是基于线性积分方程理论和有限维控制理论的方法相结合。</p>