Exponential synchronization for a new class of complex dynamical network with PIPC and hybrid TVD

Abstract

In this paper, the theme of Exponential Synchronization (ES) for a new class of Complex Dynamical Networks (CDN) with hybrid Time-Varying Delay (TVD) and Non-Time-Varying Delay (NTVD) nodes is investigated by using coupling Periodically Intermittent Pinning Control (PIPC). Based on the Lyapunov Stability Theory (LST), Kronecker product rules and PIPC method, sufficient conditions for ES and PIPC criteria of such CDN are derived. The obtained results are effective and less conservative. Furthermore, to verify the effectiveness of the proposed theoretical results, Barabasi-Albert Network (BAN) and Nearest-Neighbor Network (NNN) consisting of coupled non-delayed and delay Lee oscillators are finally given as the examples.