TY - JOUR
T1 - Extended dissipativity analysis of digital filters with time delay and Markovian jumping parameters
AU - Xia, Weifeng
AU - Zheng, Wei Xing
AU - Xu, Shengyuan
PY - 2018
Y1 - 2018
N2 - This paper considers the problem of extended dissipativity analysis for digital filters, which simultaneously contain time delay and Markovian jumping parameters. First, we put forward a very general form of nonlinearity functions, which can cover the existing nonlinearity functions as special cases. Second, by employing the generalized reciprocally convex combination inequality approach, a sufficient condition is proposed, under which the underlying system is stochastically stable and satisfies the extended dissipativity. Finally, numerical examples are provided to illustrate the advantages and effectiveness of the proposed scheme in this paper.
AB - This paper considers the problem of extended dissipativity analysis for digital filters, which simultaneously contain time delay and Markovian jumping parameters. First, we put forward a very general form of nonlinearity functions, which can cover the existing nonlinearity functions as special cases. Second, by employing the generalized reciprocally convex combination inequality approach, a sufficient condition is proposed, under which the underlying system is stochastically stable and satisfies the extended dissipativity. Finally, numerical examples are provided to illustrate the advantages and effectiveness of the proposed scheme in this paper.
KW - Markovian jump systems
KW - digital filters (mathematics)
KW - time delay systems
UR - http://handle.westernsydney.edu.au:8081/1959.7/uws:47163
U2 - 10.1016/j.sigpro.2018.06.004
DO - 10.1016/j.sigpro.2018.06.004
M3 - Article
SN - 0165-1684
VL - 152
SP - 247
EP - 254
JO - Signal Processing
JF - Signal Processing
ER -