Eigenvector-based intergroup connection of low rank for hierarchical multi-agent dynamical systems

Systems and Control Letters - Tập 61 - Trang 354-361 - 2012
Daisuke Tsubakino1, Shinji Hara2
1Division of Systems Science and Informatics, Hokkaido University, Kita 14, Nishi 9, Kita-ku, Sapporo, Hokkaido, 060-0814, Japan
2Department of Information Physics and Computing, The University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo, 113-8656, Japan

Tài liệu tham khảo

W. Ren, R.W. Beard, E.M. Atkins, A survey of consensus problems in multi-agent coordination, in: Proc. American Control Conference, 2005, pp. 1859–1864. Olfati-Saber, 2007, Consensus and cooperation in networked multi-agent systems, Proc. IEEE, 97, 215, 10.1109/JPROC.2006.887293 Murray, 2007, Recent research in cooperative control of multivehicle systems, J. Dyn. Syst. Meas. Control, 129, 571, 10.1115/1.2766721 Mesbahi, 2010 Ravasz, 2002, Hierarchical organization of modularity in metabolic networks, Science, 297, 1551, 10.1126/science.1073374 Smith, 2005, A hierarchical cyclic pursuit scheme for vehicle networks, Automatica, 41, 1045, 10.1016/j.automatica.2005.01.001 S.C. Hamilton, M.E. Broucke, Patterned linear systems: rings, chains, and trees, in: 49th IEEE Conf. Decis. Control, 2010, pp. 1397–1402. S.C. Hamilton, M.E. Broucke, Geometric control of patterned linear systems, in: 49th IEEE Conf. Decis. Control, 2010, pp. 1403–1408. H. Shimizu, S. Hara, Cyclic pursuit behavior for hierarchical multi-agent systems with low-rank interconnection, in: Proc. SICE Annual Conference, 2008, pp. 3131–3136. H. Shimizu, S. Hara, Hierarchical consensus for multi-agent systems with low-rank interconnection, in: Proc. ICCAS-SICE, 2009, pp. 1063–1067. S. Hara, H. Shimizu, T.-H. Kim, Consensus in hierarchical multi-agent dynamical systems with with low-rank interconnections: analysis of stability and convergence rates, in: Proc. American Control Conference, 2009, pp. 5192–5197. A. Williams, S. Glavaški, T. Samad, Formations of formations: hierarchy and stability, in: Proc. American Control Conference, 2004, pp. 2992–2997. Massioni, 2009, Distributed control for identical dynamically coupled systems: a decomposition approach, IEEE Trans. Autom. Control, 54, 124, 10.1109/TAC.2008.2009574 Hara, 2009, LTI systems with generalized frequency variables: a unified framework for homogeneous multi-agent dynamical systems, SICE JCMSI, 2, 299, 10.9746/jcmsi.2.299 H. Tanaka, S. Hara, T. Iwasaki, LMI stability condition for linear systems with generalized frequency variables, in: Proc. the 7th Asian Control Conference, 2009, pp. 136–141. Bernstein, 2005 D. Tsubakino, S. Hara, Hierarchical modeling for diffusion systems: symmetrically-networked systems with rank one interconnection, in: Proc. ICCAS-SICE, 2009, pp. 1068–1073. Wang, 2009, Structure of hierarchical linear systems with cyclic symmetry, Systems Control Lett., 58, 241, 10.1016/j.sysconle.2008.10.014 Fujimori, 2011, Hierarchical network synthesis for output consensus by eigenvector-based interlayer connections, 1449 Fax, 2004, Information flow and cooperative control of vehicle formations, IEEE Trans. Automat. Control, 49, 1465, 10.1109/TAC.2004.834433 Borrelli, 2008, Distributed LQR design for identical dynamically decoupled systems, IEEE Trans. Automat. Control, 53, 1901, 10.1109/TAC.2008.925826