TY - GEN
T1 - Exponential ISS properties for impulsive interconnected systems
AU - Liu, Bin
AU - Tang, Qiong
AU - Xiao, Shen Ping
AU - Zeng, Hong Bing
PY - 2010
Y1 - 2010
N2 - This paper investigates the problem of exponential input-to-state stability (e-ISS) for impulsive interconnected systems. A new concept input-to-state exponent property (IS-E) including input-to-state positive exponent property (IS-E+), input-to-state zero exponent property (IS-E0) and input-to-state negative exponent property (IS-E-), is proposed for dynamical systems with external input. By using IS-E estimations of subsystems, multiple Lyapunov functions method and average dwell time condition, the e-ISS criteria for continuous-time/discrete-time impulsive interconnected systems are established respectively. The ISS small-gain condition required in the literature for interconnected systems is relaxed if every subsystem has e-ISS property.
AB - This paper investigates the problem of exponential input-to-state stability (e-ISS) for impulsive interconnected systems. A new concept input-to-state exponent property (IS-E) including input-to-state positive exponent property (IS-E+), input-to-state zero exponent property (IS-E0) and input-to-state negative exponent property (IS-E-), is proposed for dynamical systems with external input. By using IS-E estimations of subsystems, multiple Lyapunov functions method and average dwell time condition, the e-ISS criteria for continuous-time/discrete-time impulsive interconnected systems are established respectively. The ISS small-gain condition required in the literature for interconnected systems is relaxed if every subsystem has e-ISS property.
KW - Average dwell time
KW - Exponential ISS (e-ISS)
KW - IS-E (Input-to-state Exponent Property)
KW - Impulsive interconnected systems
KW - Small-gain
UR - http://www.scopus.com/inward/record.url?scp=78650238830&partnerID=8YFLogxK
M3 - Conference contribution
SN - 9787894631046
T3 - Proceedings of the 29th Chinese Control Conference, CCC'10
SP - 1506
EP - 1510
BT - Proceedings of the 29th Chinese Control Conference, CCC'10
T2 - 29th Chinese Control Conference, CCC'10
Y2 - 29 July 2010 through 31 July 2010
ER -