TY - GEN
T1 - New stability criteria for linear systems with time-varying interval delay
AU - Sun, Jian
AU - Chen, Jie
AU - Liu, G. P.
PY - 2012
Y1 - 2012
N2 - This paper is concerned with the problem of stability of systems with time-varying delay in a given interval. A novel Lyapunov-Krasovskii functional is proposed to obtain new stability conditions. Some triple integral terms are introduced in the Lyapunov-Krasovskii functional and the information on the lower bound on the delay are sufficiently used. New delay-dependent stability criteria are derived using integral inequalities and formulated in terms of linear matrix inequality (LMI). Comparing numerical examples show that the proposed criteria yield a larger upper bound on the delay for a given lower bound on the delay than existing results.
AB - This paper is concerned with the problem of stability of systems with time-varying delay in a given interval. A novel Lyapunov-Krasovskii functional is proposed to obtain new stability conditions. Some triple integral terms are introduced in the Lyapunov-Krasovskii functional and the information on the lower bound on the delay are sufficiently used. New delay-dependent stability criteria are derived using integral inequalities and formulated in terms of linear matrix inequality (LMI). Comparing numerical examples show that the proposed criteria yield a larger upper bound on the delay for a given lower bound on the delay than existing results.
UR - http://www.scopus.com/inward/record.url?scp=84869430948&partnerID=8YFLogxK
U2 - 10.1109/CONTROL.2012.6334634
DO - 10.1109/CONTROL.2012.6334634
M3 - Conference contribution
AN - SCOPUS:84869430948
SN - 9781467315609
T3 - Proceedings of the 2012 UKACC International Conference on Control, CONTROL 2012
SP - 229
EP - 233
BT - Proceedings of the 2012 UKACC International Conference on Control, CONTROL 2012
T2 - 2012 UKACC International Conference on Control, CONTROL 2012
Y2 - 3 September 2012 through 5 September 2012
ER -