TY - GEN
T1 - A direct frequency domain approach to stability of linear systems with time-varying delays
AU - Fridman, Emilia
AU - Gil, Michael
PY - 2005/12/1
Y1 - 2005/12/1
N2 - The stability of linear systems with uncertain time-varying delays from given segments is analyzed. Under assumption that the system is stable for some known constant values of the delays, a sufficient stability condition is derived in terms of the system matrices and the lengths of the delay segments. Different from the existing frequency domain methods which usually apply the small gain theorem, the suggested approach is based on the direct application of the Laplace transform to the transformed system and on the bounding technique in L2. Numerical examples illustrate the efficiency of the method.
AB - The stability of linear systems with uncertain time-varying delays from given segments is analyzed. Under assumption that the system is stable for some known constant values of the delays, a sufficient stability condition is derived in terms of the system matrices and the lengths of the delay segments. Different from the existing frequency domain methods which usually apply the small gain theorem, the suggested approach is based on the direct application of the Laplace transform to the transformed system and on the bounding technique in L2. Numerical examples illustrate the efficiency of the method.
UR - http://www.scopus.com/inward/record.url?scp=33745225202&partnerID=8YFLogxK
U2 - 10.1109/.2005.1469811
DO - 10.1109/.2005.1469811
M3 - Conference contribution
AN - SCOPUS:33745225202
SN - 0780389360
SN - 9780780389366
T3 - Proceedings of the 20th IEEE International Symposium on Intelligent Control, ISIC '05 and the 13th Mediterranean Conference on Control and Automation, MED '05
SP - 1544
EP - 1547
BT - Proceedings of the 20th IEEE International Symposium on Intelligent Control, ISIC '05 and the 13th Mediterranean Conference on Control and Automation, MED '05
T2 - 20th IEEE International Symposium on Intelligent Control, ISIC '05 and the13th Mediterranean Conference on Control and Automation, MED '05
Y2 - 27 June 2005 through 29 June 2005
ER -