Asymptotic Effects in Linear Control Problems with Integral Constraints

Abstract

We continue to consider different examples illustrating the effects of the nonsensitivity of attainability domains. However, we shall consider more compound cases. We shall exploit the substantive way of the account. The corresponding formalization for the more general statements will be considered later. In the following chapters, we shall give a natural, concrete definition for the above-cited statements to enclose the settings of control problems considered below. Now we restrict ourselves only to the concrete statements of control problems, because adequate mathematical apparatus has not yet been introduced into the consideration. Here we shall be concerned with two questions: the investigation of the asymptotic behavior of the attainability domains for linear controlled systems and the construction of relaxations of integral constraints.