TY - JOUR
T1 - Synchronization of singular Markovian jumping complex networks with additive time-varying delays via pinning control
AU - Rakkiyappan, R.
AU - Kaviarasan, B.
AU - Rihan, Fathalla A.
AU - Lakshmanan, S.
N1 - Publisher Copyright:
© 2015 The Franklin Institute.
PY - 2015/8/1
Y1 - 2015/8/1
N2 - This study examines the problem of synchronization for singular complex dynamical networks with Markovian jumping parameters and two additive time-varying delay components. The complex networks consist of m modes which switch from one mode to another according to a Markovian chain with known transition probability. Pinning control strategies are designed to make the singular complex networks synchronized. Based on the appropriate Lyapunov-Krasovskii functional, introducing some free weighting matrices and using convexity of matrix functions, a novel synchronization criterion is derived. The proposed sufficient conditions are established in the form of linear matrix inequalities. Finally, a numerical example is presented to illustrate the effectiveness of the obtained results.
AB - This study examines the problem of synchronization for singular complex dynamical networks with Markovian jumping parameters and two additive time-varying delay components. The complex networks consist of m modes which switch from one mode to another according to a Markovian chain with known transition probability. Pinning control strategies are designed to make the singular complex networks synchronized. Based on the appropriate Lyapunov-Krasovskii functional, introducing some free weighting matrices and using convexity of matrix functions, a novel synchronization criterion is derived. The proposed sufficient conditions are established in the form of linear matrix inequalities. Finally, a numerical example is presented to illustrate the effectiveness of the obtained results.
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U2 - 10.1016/j.jfranklin.2014.12.017
DO - 10.1016/j.jfranklin.2014.12.017
M3 - Article
AN - SCOPUS:84922981811
SN - 0016-0032
VL - 352
SP - 3178
EP - 3195
JO - Journal of the Franklin Institute
JF - Journal of the Franklin Institute
IS - 8
ER -