The article explores the concept of managing coupled buildings under seismic excitation. Connecting two closely spaced structures enables the redistribution of energy and reduction of structural responses. To minimize the resulting damage, the use of smart control is proposed. Smart control operates using feedback, allowing the system to adapt in real-time. To solve the problem of finding an optimal control, the paper suggests considering it within the framework of multicriteria optimization problems, with the criteria being the maximum deformation of each building described using the generalized H 2 -norm. The article presents a method for solving multicriteria problems using linear matrix inequalities (LMIs) and Hermeyer convolution. Detailed examples are provided for a system of two coupled buildings. The results of computing the optimal smart control for systems of varying dimensions, as well as the outcomes of modeling using real earthquake data, are presented MATLAB software, utilizing the SDPT3 and YALMIP libraries, is employed for performing the calculations and visualizing the results.