TY - GEN
T1 - A note on stability and stabilization of discrete-time systems with time-varying delay
AU - Sun, Jian
AU - Chen, Jie
PY - 2012
Y1 - 2012
N2 - This paper is concerned with the stability and stabilization problem of the discrete-time systems with time-varying delay. Using 'lifting' technique, a discrete-time system with time-varying delay is transformed into a switched system. On the basis of theories of switched systems, some necessary and sufficient stability conditions are obtained. However, these conditions are hard to check. Using the switched Lyapunov function approach, some equivalent sufficient stability conditions are developed. Based on these conditions, a state feedback controller with varying gains is designed. Numerical examples are given to show the effectiveness of the proposed method.
AB - This paper is concerned with the stability and stabilization problem of the discrete-time systems with time-varying delay. Using 'lifting' technique, a discrete-time system with time-varying delay is transformed into a switched system. On the basis of theories of switched systems, some necessary and sufficient stability conditions are obtained. However, these conditions are hard to check. Using the switched Lyapunov function approach, some equivalent sufficient stability conditions are developed. Based on these conditions, a state feedback controller with varying gains is designed. Numerical examples are given to show the effectiveness of the proposed method.
KW - Linear matrix inequality (LMI)
KW - Switched Lyapunov function
KW - Switched system
KW - Time-delay system
UR - https://www.scopus.com/pages/publications/84873529972
M3 - Conference contribution
AN - SCOPUS:84873529972
SN - 9789881563811
T3 - Chinese Control Conference, CCC
SP - 1430
EP - 1434
BT - Proceedings of the 31st Chinese Control Conference, CCC 2012
T2 - 31st Chinese Control Conference, CCC 2012
Y2 - 25 July 2012 through 27 July 2012
ER -