À propos de cet article

Citez

ALDOUS, D. (1991) Applications of random walks on finite graphs. IMS Lecture Notes-Monograph Series 18, 12–26. DOI: https://www.jstor.org/stable/4355644 Search in Google Scholar

BONDY, J. A. and MURTY, U. S. R. (2008) Graph Theory. Springer-Verlag, London. Search in Google Scholar

CHEN, F. and REN, W. (2019) On the control of multi-agent systems: A survey. Foundations and Trends in Systems and Control 6 (4), 339–499. DOI: https://doi.org/10.1561/2600000019 Search in Google Scholar

COPPERSMITH, D., DOYLE, P., RAGHAVAN, P. and SNIR, M. (1993) Random walks on weighted graphs and applications to on-line algorithms. Journal of the ACM 40 (3), 421–453. DOI: https://doi.org/10.1145/174130.17413110.1145/174130.174131 Search in Google Scholar

DEFOORT, M., POLYAKOV A., DEMESURE, G., DJEMAI, M. and VELUVOLU, K. (2015) Leader–follower fixed-time consensus for multi-agent systems with unknown non-linear inherent dynamics. IET Control Theory & Applications 9 (14), 2165–2170. DOI: https://doi.org/10.1049/iet-cta.2014.1301 Search in Google Scholar

FRIEDBERG, S. H., INSEL, A. J. and SPENCE, L. W. (1989) Linear Algebra. Prentice Hall, New Jersey. Search in Google Scholar

GENG, H., WU, H., MIAO, J., HOU, S. and CHEN, Z. (2022) Consensus of heterogeneous multi-agent systems under directed topology. IEEE Access 10, 5936–5943. DOI: https://doi.org/10.1109/ACCESS.2022.3142539 Search in Google Scholar

GREGUŠ, M. (1987) Third Order Linear Differential Equations. D. Reidel Publishing Company, Dordrecht. Search in Google Scholar

GUAN, Y., JI, Z., ZHANG, L. and WANG, L. (2016) Controllability of heterogeneous multi-agent systems under directed and weighted topology. International Journal of Control 89 (5), 1009–1024. DOI: https://doi.org/10.1080/00207179.2015.1110756 Search in Google Scholar

JAYARAMAN, G., PADMANABHAN, N. and MEHROTRA, R. (1986) Entry flow into a circular tube of slowly varying cross section. Fluid Dynamics Research 1 (2), 131–144. DOI: https://doi.org/10.1016/0169-5983(86)90013-4 Search in Google Scholar

KURRAS, S. (2016) Variants of the Graph Laplacian with Applications in Machine Learning. Ph.D. dissertation. Universit¨at Hamburg, Hamburg. Search in Google Scholar

LELEUX, P., COURTAIN, S., FRANCOISSE, K. and SAERENS, M. (2022) Design of biased random walks on a graph with application to collaborative recommendation. Physica A: Statistical Mechanics and its Applications 590, 126752. DOI: https://doi.org/10.1016/j.physa.2021.126752 Search in Google Scholar

LIU, J., AN, B. and WU, H. (2018) Consensus of third-order multi-agent systems with communication delay. 2018 Chinese Control And Decision Conference, 1428–1432. DOI: https://doi.org/10.1109/CCDC.2018.8407351 Search in Google Scholar

LIU, Y.-Y. and BARABÁSI, A.-L. (2016) Control principles of complex systems. Reviews of Modern Physics 88 (3), 035006. DOI: https://doi.org/10.1103/RevModPhys.88.035006 Search in Google Scholar

LIU, B., CHU, T., WANG, L. and XIE, G. (2008) Controllability of a leader–follower dynamic network with switching topology. IEEE Transactions on Automatic Control 53 (4), 1009–1013. DOI: https://doi.org/10.1109/TAC.2008.919548 Search in Google Scholar

LIU, K., XIE, G. and WANG, L. (2012) Consensus for multi-agent systems under double integrator dynamics with time-varying communication delays. International Journal of Robust and Nonlinear Control 22 (17), 1881–1898. DOI: https://doi.org/10.1002/rnc.1792 Search in Google Scholar

LOZANO, R., SPONG, M. W., GUERRERO, J. A. and CHOPRA, N. (2008) Controllability and observability of leader-based multi-agent systems. 47th IEEE Conference on Decision and Control, 3713–3718. DOI: https://doi.org/10.1109/CDC.2008.4739071 Search in Google Scholar

MESBAHI, M. and EGERSTEDT, M. (2010) Graph Theoretic Methods in Multiagent Networks. Princeton University Press, Princeton. Search in Google Scholar

MUNI, V. S., RAFEEK, K. V. M., ATHIRA, V. S. and REDDY, G. J. (2023) Controllability of consensus of multi-agent networks over heterogeneous dynamics. Results in Control and Optimization 12, 100272. DOI: https://doi.org/10.1016/j.rico.2023.100272 Search in Google Scholar

MUNI, V. S., RAFEEK, K. V. M., REDDY, G. J. and GEORGE, R. K. (2022) On the selection of leaders for the controllability of multi-agent networks. Bulletin of the Iranian Mathematical Society 48 (6), 3141–3183. DOI: https://doi.org/10.1007/s41980-022-00683-2 Search in Google Scholar

PADHI, S. and PATI, S. (2014) Theory of Third-Order Differential Equations. Springer, New Delhi. Search in Google Scholar

REN, W. (2007) Consensus strategies for cooperative control of vehicle formations. IET Control Theory & Applications 1 (2), 505–512. DOI: https://doi.org/10.1049/iet-cta:20050401 Search in Google Scholar

REN, W. and BEARD, R. W. (2005) Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Transactions on Automatic Control 50 (5), 655–661. DOI: https://doi.org/10.1109/TAC.2005.846556 Search in Google Scholar

REYNOLDS, D. W. (1989) Bifurcation of harmonic solutions of an integrodifferential equation modelling resonant sloshing. SIAM Journal of Applied Mathematics 49 (2), 362–372. DOI: https://doi.org/10.1137/0149022 Search in Google Scholar

SABER, R. O. and MURRAY, R. M. (2004) Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control 49 (9), 1520–1533. DOI: https://doi.org/10.1109/TAC.2004.834113 Search in Google Scholar

TANNER, H. G. (2004) On the controllability of nearest neighbour interconnections. 43rd IEEE Conference on Decision and Control, 2467–2472. DOI: https://doi.org/10.1109/CDC.2004.1428782 Search in Google Scholar

TERRELL, W. J. (2009) Stability and Stabilization: An Introduction. Princeton University Press, Princeton. Search in Google Scholar

XIE, D., YUAN, D., LU, J. and ZHANG, Y. (2013) Consensus control of second-order leader–follower multi-agent systems with event-triggered strategy. Transactions of the Institute of Measurement and Control 35 (4), 426–436. DOI: https://doi.org/10.1177/0142331212454046 Search in Google Scholar

YAZICIO ˇGLU, A. Y. and EGERSTEDT, M. (2013) Leader selection and network assembly for controllability of leader–follower networks. American Control Conference, 3802–3807. DOI: https://doi.org/10.1109/ACC.2013.6580419 Search in Google Scholar

YU, W., REN, W., ZHENG, W. X., Chen, G. and LÜ, J. (2013) Distributed control gains design for consensus in multi-agent systems with second-order nonlinear dynamics. Automatica 49 (7), 2107–2115. DOI: https://doi.org/10.1016/j.automatica.2013.03.005 Search in Google Scholar

ZHANG, L., SUN, J. and YANG, Q. (2021) Distributed model-based event-triggered leader–follower consensus control for linear continuous-time multiagent systems. IEEE Transactions on Systems, Man, and Cybernetics: Systems 51 (10), 6457–6465. DOI: https://doi.org/10.1109/TSMC.2019.2962735 Search in Google Scholar

ZHENG, Y. and WANG, L. (2012) Finite-time consensus of heterogeneous multi-agent systems with and without velocity measurements. Systems & Control Letters 61 (8), 871–878. DOI: https://doi.org/10.1016/j.sysconle.2012.05.009 Search in Google Scholar

ZHENG, Y. and WANG, L. (2012) Distributed consensus of heterogeneous multi-agent systems with fixed and switching topologies. International Journal of Control 85 (12), 1967–1976. DOI: https://doi.org/10.1080/00207179.2012.713986 Search in Google Scholar

ZHENG, Y., ZHU, Y. and WANG, L. (2011) Consensus of heterogeneous multi-agent systems. IET Control Theory & Applications 5 (16), 1881–1888. DOI: https://doi.org/10.1049/iet-cta.2011.0033 Search in Google Scholar