### Multi-objective consensus for linear multi-agent systems

Title Multi-objective consensus for linear multi-agent systems R. S. Biryukov1, E. S. Bubnova11Lobachevsky State University of Nizhniy Novgorod We consider the multi-objective generalized ${H}_2$-consensus problem for discrete-time linear heterogeneous multi-agent systems subjected to external distur-bances. The interaction topology among the agents is assumed to be constant and undirected. A sufficient condition in terms of linear matrix inequalities is proposed to solve the considered consensus problem. Finally, a simulation example is given to illustrate the obtained theoretical result. multi-agent systems, consensus, generalized ${H}_2$-norm Biryukov R. S., Bubnova E. S. ''Multi-objective consensus for linear multi-agent systems'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, October 8-11, 2020). Saransk: SVMO Publ, 2020. - pp. 159-170. Available at: https://conf.svmo.ru/files/2020/papers/article04.pdf. - Date of access: 01.12.2022.