Stability analysis and decentralized control of a class of complex dynamical networks

Automatica - Tập 44 - Trang 1028-1035 - 2008
Zhisheng Duan1, Jinzhi Wang1, Guanrong Chen1, Lin Huang1
1State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, PR China

Tài liệu tham khảo

Arcak, 2003, Circle and Popov criteria as tools for nonlinear feedback design, Automatica, 39, 643, 10.1016/S0005-1098(02)00276-5 Ashwin, 2005, When instability makes sense, Nature, 436, 36, 10.1038/436036b Duan, Z. S., Wang, J. Z., & Huang, L. (2005). Special decentralized control problems and effectiveness of parameter-dependent Lyapunov function method. Proceedings of the American control conference (pp. 1697–1702). Duan, 2007, Special decentralized control problems in discrete-time interconnected systems composed of two subsystems, Systems and Control Letters, 56, 206, 10.1016/j.sysconle.2006.09.002 Duan, 2006, Robust H2 and H∞ filtering for uncertain linear systems, Automatica, 42, 1919, 10.1016/j.automatica.2006.06.004 Fax, 2004, Information flow and cooperative control of vehicle formations, IEEE Transactions on Automatic Control, 49, 1465, 10.1109/TAC.2004.834433 Huang, 1998, Comments on ‘Design of decentralized control for symmetrically interconnected systems’, Automatica, 34, 929 Li, 2004, Pinning a complex dynamical network to its equilibium, IEEE Transactions on Circuits and Systems—I, 51, 2074, 10.1109/TCSI.2004.835655 Madan, 1993 de Oliveira, 1999, A new discrete-time robust stability condition, Systems and Control Letters, 37, 261, 10.1016/S0167-6911(99)00035-3 Park, 1997, A revisited Popov criterion for nonlinear Lur’e systems with sector-restrictions, International Journal of Control, 68, 461, 10.1080/002071797223479 Peaucelle, 2000, A new robust D-stability condition for real convex polytopic uncertainty, Systems and Control Letters, 40, 21, 10.1016/S0167-6911(99)00119-X Rantzer, 1996, On the Kalman–Yakubovich–Popov lemma, Systems Control Letters, 28, 7, 10.1016/0167-6911(95)00063-1 Siljak, 1978 Siljak, 1991 Wang, 2002, Complex networks: Topology, dynamics, and synchronization, International Journal of Bifurcation and Chaos, 5, 885, 10.1142/S0218127402004802 Watts, 1998, Collective dynamics of ‘small-world’ networks, Nature, 393, 440, 10.1038/30918 Wu, 1995, Application of Kronecker products to the analysis of systems with uniform linear coupling, IEEE Transactions on Circuits and Systems—I, 42, 775, 10.1109/81.473586