0524633 20240903170646.020200601235959.9 000537020400009 85088252716 10.14736/kyb-2020-2-0363 19 s. P cav_un_epca*02971630023-5954562 (2020)363-381Ústav teorie informace a automatizace AV ČR, v. v. i. LMI Robust control Multi-agent system Time delay system cav_un_auth*0216347 Rehák Branislav UTIA-B Teorie řízení Department of Control Theory TŘ TR Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0215855 Lynnyk Volodymyr UTIA-B Teorie řízení Department of Control Theory TŘ TR Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. https://www.kybernetika.cz/content/2020/2/363 cav_un_auth*0376351 GA19-07635S GA ČR CZ The paper presents an algorithm for the solution of the consensus problem of a linear multiagent system composed of identical agents. The control of the agents is delayed, however, these delays are, in general, not equal in all agents. The control algorithm design is based on the H1-control, the results are formulated by means of linear matrix inequalities. The dimension of the resulting convex optimization problem is proportional to the dimension of one agent only but does not depend on the number of agents, hence this problem is computationally tractable. It is shown that heterogeneity of the delays in the control loop can cause a steady error in the synchronization. Magnitude of this error is estimated. The results are illustrated by two examples. WOS BC 20000 20200 20205 2021 2 4 A sml 4as 20231122144934.1 RVO:67985556 http://hdl.handle.net/11104/0308983 S Copyright 20200518 2 Article Computer Science Cybernetics A COMPUTERSCIENCE.CYBERNETICS 0.800 0.056 11.3 0.00083 0.262 903 43 0.218 32.88 0.95 181 Q3 0.808 54 Q4 14.97 10.9 Q4 Q4 0.15 Q4 10.87 2020 Soubory v repozitáři: rehak-0524633-Copyright.pdf 85088252716 SCOPUS PUBMED 000537020400009 WOS cav_un_epca*0297163 Kybernetika 0023-5954 Roč. 56 č. 2 2020 363 381 Ústav teorie informace a automatizace AV ČR, v. v. i.