TY - GEN
T1 - Impulsive consensus control for complex dynamical networks with non-identical nodes and coupling time-delays
AU - Liu, Bin
AU - Hill, David J.
PY - 2008
Y1 - 2008
N2 - This paper investigates the problem of global consensus between a complex dynamical network (CDN) and a known goal signal by designing an impulsive consensus control scheme. The dynamical network is complex with respect to the uncertainties, non-identical nodes and coupling timedelays. The goal signal can be a measurable vector function or a solution of a dynamical system. By utilizing Lyapunov function and Lyapunov-Krasovskii functional methods, robust global exponential stability (RGES) criteria are derived for the error system, under which global exponential consensus is achieved for the complex dynamical networks. These criteria are expressed in terms of LMIs and algebraic inequalities. Thus, the impulsive controller can be easily designed by solving the derived inequalities. Meanwhile, the estimations of the consensus speed rate for global exponential consensus is also obtained. One example with numerical simulations is worked out for illustration.
AB - This paper investigates the problem of global consensus between a complex dynamical network (CDN) and a known goal signal by designing an impulsive consensus control scheme. The dynamical network is complex with respect to the uncertainties, non-identical nodes and coupling timedelays. The goal signal can be a measurable vector function or a solution of a dynamical system. By utilizing Lyapunov function and Lyapunov-Krasovskii functional methods, robust global exponential stability (RGES) criteria are derived for the error system, under which global exponential consensus is achieved for the complex dynamical networks. These criteria are expressed in terms of LMIs and algebraic inequalities. Thus, the impulsive controller can be easily designed by solving the derived inequalities. Meanwhile, the estimations of the consensus speed rate for global exponential consensus is also obtained. One example with numerical simulations is worked out for illustration.
UR - http://www.scopus.com/inward/record.url?scp=63049118808&partnerID=8YFLogxK
U2 - 10.1109/CDC.2008.4738913
DO - 10.1109/CDC.2008.4738913
M3 - Conference contribution
SN - 9781424431243
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 2258
EP - 2263
BT - Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 47th IEEE Conference on Decision and Control, CDC 2008
Y2 - 9 December 2008 through 11 December 2008
ER -