TY - GEN
T1 - What results from applying Lyapunov method for the linear systems with time-varying delay
AU - Gessing, Ryszard
PY - 2014
Y1 - 2014
N2 - It is noted, that the Lyapunov method appearing in the papers mentioned below in the section of References, applied to the linear systems with interval time-varying delay, may give very conservative stability conditions. The latter statement results from analyzing some benchmarks, used in these papers, for comparison of the obtained results. An insignificant enlargement of the stable delay interval, obtained in the successive paper, does not prevent from the fact, that the obtained stability condition is, as before, very conservative. Therefore some other reference point for estimation of the conservatism should be used. One of the simplest possibilities is the comparison with the stable delay interval for the same system with constant delay. An important role may play some appropriate simulations.
AB - It is noted, that the Lyapunov method appearing in the papers mentioned below in the section of References, applied to the linear systems with interval time-varying delay, may give very conservative stability conditions. The latter statement results from analyzing some benchmarks, used in these papers, for comparison of the obtained results. An insignificant enlargement of the stable delay interval, obtained in the successive paper, does not prevent from the fact, that the obtained stability condition is, as before, very conservative. Therefore some other reference point for estimation of the conservatism should be used. One of the simplest possibilities is the comparison with the stable delay interval for the same system with constant delay. An important role may play some appropriate simulations.
KW - Continuous-time systems
KW - Discrete-time systems
KW - Interval time-varying delay
KW - Lyapunov methods
KW - Systems with delay
UR - https://www.scopus.com/pages/publications/84905694099
U2 - 10.1109/ACC.2014.6858737
DO - 10.1109/ACC.2014.6858737
M3 - Conference contribution
AN - SCOPUS:84905694099
SN - 9781479932726
T3 - Proceedings of the American Control Conference
SP - 1999
EP - 2004
BT - 2014 American Control Conference, ACC 2014
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2014 American Control Conference, ACC 2014
Y2 - 4 June 2014 through 6 June 2014
ER -