Many contemporary automatic control problems are characterized by large dimensions, the presence of uncertainty in the description of the system, the presence of uncontrolled exogenous disturbances, the need to analyze large amounts of information online, decentralization/simplification of control systems in multi-agent systems, and a number of other factors that complicate the application of classical methods of control theory. Therefore, the problem of developing new efficient methods that take into account these specific features becomes topical. In this regard, the technique of linear matrix inequalities is very promising. This paper presents the results of new studies that develop the technique of linear matrix inequalities and use it to solve applied control theory problems.

中文翻译：

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控制问题中的线性矩阵不等式

许多当代自动控制问题的特点是维度大，系统描述存在不确定性，存在不受控制的外源干扰，需要在线分析大量信息，多代理系统中控制系统的分散/简化，以及使经典控制理论方法的应用复杂化的许多其他因素。因此，开发考虑到这些特定特征的新有效方法的问题成为热门话题。在这方面，线性矩阵不等式的技术是非常有前途的。本文介绍了开发线性矩阵不等式技术并将其用于解决应用控制理论问题的新研究结果。