Finite-time passivity of delayed multi-weighted complex dynamical networks with different dimensional nodes

Abstract

This paper presents two models of delayed multi-weighted complex dynamical networks (MWCDN) with different dimensional nodes, and the essential difference between them is that whether the switching topology is taken into consideration. Based on some new concepts of finite-time passivity, we respectively tackle finite-time passivity problem for two raised network models. Firstly, by designing a proper controller, we discuss the finite-time passivity of delayed MWCDN with fixed and switching topologies. Furthermore, several finite-time stability criteria are established in the case that networks are finite-time passive. In the end, we provide two illustrated examples to affirm the correctness and reasonableness of acquired finite-time passivity and stability results.