Controllability of consensus heterogeneous multi-agent networks over continuous time scale
References
- 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
- BONDY, J. A. and MURTY, U. S. R. (2008) Graph Theory. Springer-Verlag, London.
- 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
- 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
- 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
- FRIEDBERG, S. H., INSEL, A. J. and SPENCE, L. W. (1989) Linear Algebra. Prentice Hall, New Jersey.
- 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
- GREGUŠ, M. (1987) Third Order Linear Differential Equations. D. Reidel Publishing Company, Dordrecht.
- 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
- 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
- KURRAS, S. (2016) Variants of the Graph Laplacian with Applications in Machine Learning. Ph.D. dissertation. Universit¨at Hamburg, Hamburg.
- 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
- 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
- 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
- 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
- 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
- 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
- MESBAHI, M. and EGERSTEDT, M. (2010) Graph Theoretic Methods in Multiagent Networks. Princeton University Press, Princeton.
- 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
- 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
- PADHI, S. and PATI, S. (2014) Theory of Third-Order Differential Equations. Springer, New Delhi.
- 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
- 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
- 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
- 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
- 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
- TERRELL, W. J. (2009) Stability and Stabilization: An Introduction. Princeton University Press, Princeton.
- 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
- 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
- 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
- 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
- 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
- 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
- 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
Language: English
Page range: 199 - 245
Submitted on: Mar 1, 2023
Accepted on: Nov 1, 2023
Published on: Apr 11, 2024
Published by: Systems Research Institute Polish Academy of Sciences
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Related subjects:
© 2024 V. S. Athira, Vijayakumar S. Muni, Kallu Vetty Muhammed Rafeek, Gudala Janardhana Reddy, published by Systems Research Institute Polish Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.