Some properties of optimal regulators and their applications

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Abstract
Some properties of linear optimal regulators are discussed. First, some fundamental relations on the bound of the overshoot of the output are derived. Then, an explicit description of a solution set of linear optimal regulator problems for a linear system and all possible quadratic cost functions is derived. As an application of these properties, a new design method for a feedback law is proposed, which takes into account the requirement on the output overshoot

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