Synchronization criteria for T-S fuzzy singular complex dynamical networks with Markovian jumping parameters and mixed time-varying delays using pinning control

Abstract

In this paper, we are discuss about the issue of synchronization for singular complex dynamical networks with Markovian jumping parameters and additive time-varying delays through pinning control by Takagi-Sugeno (T-S) fuzzy theory.<br />The complex dynamical systems consist of <em>m</em> nodes and the systems switch from one mode to another, a Markovian chain with glorious transition probability. Based on the control strategies are designed, the singular complex dynamical<br />networks are synchronized. A new class of Lyapunov-Krasovskii functional, which contains integral terms is constructed to derive the stability criteria. Some sufficient conditions for synchronization in the form of linear matrix inequality<br />(LMI) approach. Finally, numerical example is presented to support the main results of this paper.