TY - GEN
T1 - Robust stability of complex impulsive dynamical systems
AU - Liu, Bin
AU - Hill, David J.
PY - 2007
Y1 - 2007
N2 - This paper investigates stability for systems with practical levels of complexity including nonlinearities, large-scale interconnections, time-delays, uncertainty and heterogenous signals, in this case chosen to be impulses in continuous-time. More precisely, the results give robust global exponential stability (RGES) for complex impulsive dynamical systems. By utilizing Lyapunov function and Lyapunov-Krasovskii functional methods, two types of criteria are derived under each of which RGES is achieved. These criteria are expressed in terms of LMIs and algebraic inequalities. Meanwhile, the estimation of the decay rate is also obtained. Furthermore, the results are used to design an impulsive controller under which RGES is achieved for a closed-loop large-scale interval continuous systems with multi-coupling time-delays. The impulsive controller can be easily obtained by solving the derived LMIs and algebraic inequalities. One example with numerical simulations is worked out for illustration.
AB - This paper investigates stability for systems with practical levels of complexity including nonlinearities, large-scale interconnections, time-delays, uncertainty and heterogenous signals, in this case chosen to be impulses in continuous-time. More precisely, the results give robust global exponential stability (RGES) for complex impulsive dynamical systems. By utilizing Lyapunov function and Lyapunov-Krasovskii functional methods, two types of criteria are derived under each of which RGES is achieved. These criteria are expressed in terms of LMIs and algebraic inequalities. Meanwhile, the estimation of the decay rate is also obtained. Furthermore, the results are used to design an impulsive controller under which RGES is achieved for a closed-loop large-scale interval continuous systems with multi-coupling time-delays. The impulsive controller can be easily obtained by solving the derived LMIs and algebraic inequalities. One example with numerical simulations is worked out for illustration.
UR - http://www.scopus.com/inward/record.url?scp=62749139762&partnerID=8YFLogxK
U2 - 10.1109/CDC.2007.4434304
DO - 10.1109/CDC.2007.4434304
M3 - Conference contribution
SN - 1424414989
SN - 9781424414987
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 103
EP - 108
BT - Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 46th IEEE Conference on Decision and Control 2007, CDC
Y2 - 12 December 2007 through 14 December 2007
ER -