TY - JOUR
T1 - Exponential l2-l∞ control for discrete-time switching Markov jump linear systems
AU - Hou, Linlin
AU - Zong, Guangdent
AU - Zheng, Weixing
AU - Wu, Yuqiang
PY - 2013
Y1 - 2013
N2 - The problem of exponential l2-l∞ control is considered in this paper for a class of discrete-time switching Markov jump linear systems. First, the definition of exponential l2-l∞ mean square stability for discrete-time switching Markov jump linear systems is introduced. Then, by resorting to the average dwell time approach, the mean square exponential stability criteria are presented with an exponential l2-l∞ performance index and a decay rate, and the corresponding controller is also designed. Finally, numerical and application examples are provided to demonstrate the effectiveness of the obtained results.
AB - The problem of exponential l2-l∞ control is considered in this paper for a class of discrete-time switching Markov jump linear systems. First, the definition of exponential l2-l∞ mean square stability for discrete-time switching Markov jump linear systems is introduced. Then, by resorting to the average dwell time approach, the mean square exponential stability criteria are presented with an exponential l2-l∞ performance index and a decay rate, and the corresponding controller is also designed. Finally, numerical and application examples are provided to demonstrate the effectiveness of the obtained results.
UR - http://handle.uws.edu.au:8081/1959.7/536803
U2 - 10.1007/s00034-013-9588-1
DO - 10.1007/s00034-013-9588-1
M3 - Article
SN - 0278-081X
VL - 32
SP - 2745
EP - 2759
JO - Circuits, Systems, and Signal Processing
JF - Circuits, Systems, and Signal Processing
IS - 6
ER -