Consensus of multi-agent systems and stabilization of large-scale systems with time delays and nonlinearities - a comparison of both problems

Branislav Rehák; Volodymyr Lynnyk

Kybernetika (2023)

  • Volume: 59, Issue: 3, page 461-483
  • ISSN: 0023-5954

Abstract

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The problem of stabilization of large-scale systems and the consensus problem of multi-agent systems are related, similar tools for their solution are used. Therefore, they are occasionally confused. Although both problems show similar features, one can also observe important differences. A comparison of both problems is presented in this paper. In both cases, attention is paid to the explanation of the effects of the time delays. The most important fact is that, if the time delays are heterogeneous, full synchronization of the multi-agent systems cannot be achieved; however, stabilization of the large-scale network is reachable. In the case of nonlinear systems, we show that the stabilization of a large-scale nonlinear system is possible under more restrictive assumptions compared to the synchronization of a nonlinear multi-agent system.

How to cite

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Rehák, Branislav, and Lynnyk, Volodymyr. "Consensus of multi-agent systems and stabilization of large-scale systems with time delays and nonlinearities - a comparison of both problems." Kybernetika 59.3 (2023): 461-483. <http://eudml.org/doc/299512>.

@article{Rehák2023,
abstract = {The problem of stabilization of large-scale systems and the consensus problem of multi-agent systems are related, similar tools for their solution are used. Therefore, they are occasionally confused. Although both problems show similar features, one can also observe important differences. A comparison of both problems is presented in this paper. In both cases, attention is paid to the explanation of the effects of the time delays. The most important fact is that, if the time delays are heterogeneous, full synchronization of the multi-agent systems cannot be achieved; however, stabilization of the large-scale network is reachable. In the case of nonlinear systems, we show that the stabilization of a large-scale nonlinear system is possible under more restrictive assumptions compared to the synchronization of a nonlinear multi-agent system.},
author = {Rehák, Branislav, Lynnyk, Volodymyr},
journal = {Kybernetika},
keywords = {large-scale interconnected systems; multi-agent systems; time delays; nonlinearity},
language = {eng},
number = {3},
pages = {461-483},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Consensus of multi-agent systems and stabilization of large-scale systems with time delays and nonlinearities - a comparison of both problems},
url = {http://eudml.org/doc/299512},
volume = {59},
year = {2023},
}

TY - JOUR
AU - Rehák, Branislav
AU - Lynnyk, Volodymyr
TI - Consensus of multi-agent systems and stabilization of large-scale systems with time delays and nonlinearities - a comparison of both problems
JO - Kybernetika
PY - 2023
PB - Institute of Information Theory and Automation AS CR
VL - 59
IS - 3
SP - 461
EP - 483
AB - The problem of stabilization of large-scale systems and the consensus problem of multi-agent systems are related, similar tools for their solution are used. Therefore, they are occasionally confused. Although both problems show similar features, one can also observe important differences. A comparison of both problems is presented in this paper. In both cases, attention is paid to the explanation of the effects of the time delays. The most important fact is that, if the time delays are heterogeneous, full synchronization of the multi-agent systems cannot be achieved; however, stabilization of the large-scale network is reachable. In the case of nonlinear systems, we show that the stabilization of a large-scale nonlinear system is possible under more restrictive assumptions compared to the synchronization of a nonlinear multi-agent system.
LA - eng
KW - large-scale interconnected systems; multi-agent systems; time delays; nonlinearity
UR - http://eudml.org/doc/299512
ER -

References

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  1. Antonelli, G., , IEEE Control Systems 33 (2013), 1, 76-88. MR3044267DOI
  2. Bakule, L., , Ann. Rev. Control 38 (2014), 71-80. DOI
  3. Bakule, L., Sen, M. de la, Papík, M., Rehák, B., Decentralized stabilization of complex systems with delayed feedback., In: Proc. 13th IFAC Symposium on Large Scale Complex Systems: Theory and Applications LSS, Shanghai 2013, pp. 31-36. 
  4. Bakule, L., Sen, M. De la, Papík, M., Rehák, B., Decentralized stabilization of symmetric systems with delayed observer-based feedback., In: Proc. American Control Conference 2013, pp. 6679-6684. 
  5. Bakule, L., Rehák, B., Papík, M., , Automatica 67 (2016), 127-131. MR3471755DOI
  6. Chen, N., Zhai, G., Gui, W., Yang, C., Liu, W., , IET Control Theory Appl. 4 (2010), 177-185. MR2640374DOI
  7. Demir, O., Lunze, J., Networked control of symmetrically interconnected systems., In: Proc. 19th Mediterranean Conference on Control and Automation, Corfu 2011, pp. 1014-1021, Corfu. 
  8. Demir, O., Lunze, J., Otte, P., Analogies in the controller design for multi-agent and physically interconnected systems with identical subsystems., In: 20th Mediterranean Conference on Control Automation (MED) 2012, pp. 1037-1042. 
  9. Fridman, E., Introduction to Time-Delay Systems., Birkhäuser, Basel 2015. MR3237720
  10. Hou, W., Fu, M., Zhang, H., Wu, Z., , Automatica 75 (2017), 293-298. MR3582183DOI
  11. Khalil, H., Nonlinear Systems., Prentice Hall, New Jersey 2001. Zbl1194.93083
  12. Li, Z., Duan, Z., Chen, G., Huang, L., 10.1109/TCSI.2009.2023937, IEEE Trans. Circuits Systems I: Regular Papers 57 (2010), 1, 213-224. MR2729823DOI10.1109/TCSI.2009.2023937
  13. Lin, P., Qin, K., Zhao, H., Sun, M., , J. Franklin Inst. 349 (2012), 1, 293-304. MR2874739DOI
  14. Lunze, J., Feedback Control of Large-Scale Systems., Prentice Hall, Hemel Hempstead 1992. 
  15. Meng, Z., Yang, T., Li, G., Ren, W., Wu, D., , IEEE Trans. Automat. Control 63 (2018), 6, 1791-1797. MR3807661DOI
  16. Ni, W., Cheng, D., , Systems Control Lett. 59 (2010), 3, 209-217. MR2642259DOI
  17. Petrillo, A., Salvi, A., Santini, S., Valente, A. S., , J. Franklin Inst. 354 (2017), 18, 8586-8605. MR3732306DOI
  18. Qian, W., Gao, Y., Wang, L., Fei, S., , Int. J. Robust Nonlinear Control 29 (2019), 6, 1926-1940. MR3934402DOI
  19. Rehák, B., 10.1002/asjc.1507, Asian J. Control 19 (2017), 6, 2226-2231. MR3730209DOI10.1002/asjc.1507
  20. Rehák, B., , In: 2019 Chinese Control Conference (CCC), pp. 09-1014. DOI
  21. Rehák, B., Lynnyk, V., Network-based control of nonlinear large-scale systems composed of identical subsystems., J. Franklin Inst. 356 (2018). MR3912566
  22. Rehák, B., Lynnyk, V., 10.1016/j.ifacol.2019.12.144, IFAC-PapersOnLine 52 (2019), 20, 49-54. DOI10.1016/j.ifacol.2019.12.144
  23. Rehák, B., Lynnyk, V., , In: 19th International Conference on Control, Automation and Systems (ICCAS), IEEE 2019, pp. 759-764. DOI
  24. Rehák, B., Lynnyk, V., Synchronization of symmetric complex networks with heterogeneous time delays., In: 22nd International Conference on Process Control (PC19), 2019, pp. 68-73. 
  25. Rehák, B., Lynnyk, V., , Kybernetika 56 (2020), 363-381. MR4103722DOI
  26. Rehák, B., Lynnyk, V., , In: European Control Conference (ECC), IEEE 2020, pp. 1671-1676. MR4103722DOI
  27. Rehák, B., Lynnyk, V., , Frontiers Inform. Technol. Electronic Engrg. 22 (2021), 1, 97-106. MR4103722DOI
  28. Rehák, B., Lynnyk, V., , IEEE Access 10 (2022), 35352-35362. DOI
  29. Rehák, B., Lynnyk, V., Čelikovský, S., 10.1016/j.ifacol.2018.07.282, IFAC-PapersOnLine 51 (2018), 13, 223-228. DOI10.1016/j.ifacol.2018.07.282
  30. Wang, D., Wang, Z., Chen, M., Wang, W., , Inform. Sci. 438 (2018), 1-14. MR3765747DOI
  31. Wang, H., , IEEE Trans. Automat. Control 59 (2014), 6, 1571-1576. MR3225230DOI
  32. Zhang, L., Orosz, G., , Int. J. Robust Nonlinear Control 27 (2017), 5, 781-803. MR3608606DOI
  33. Zhang, M., Saberi, A., Stoorvogel, A. A., , Europ. J. Control 38 (2017), :63-72. MR3719912DOI

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