Abstract
The finite-time passivity problem is, respectively, investigated for stochastic coupled complex networks (SCCNs) with and without time-varying delay. Firstly, we present several new concepts about finite-time passivity in the sense of expectation on the basis of existing passivity definition. By designing appropriate controllers, the finite-time passivity of SCCNs with and without time-varying delay is obtained. In addition, the definition of finite-time synchronization in the sense of expectation is proposed. Under some sufficient conditions and designed controllers, finite-time passivity derives finite-time synchronization. Finally, two examples are given to demonstrate the effectiveness of finite-time passive and synchronization criteria.
Highlights
In the real world, complex networks can be seen everywhere such as food webs, communication networks, World Wide Web, and many others [1,2,3]
The synchronization and stability of stochastic complex networks have gradually become a topic of widespread concern for scholars in various fields [4,5,6,7,8]
E passivity theory has been extensively applied in many fields such as stability, complexity, signal processing, chaos control, synchronization fuzzy control, and so on [9,10,11,12]
Summary
Complex networks can be seen everywhere such as food webs, communication networks, World Wide Web, and many others [1,2,3]. The synchronization and stability of stochastic complex networks have gradually become a topic of widespread concern for scholars in various fields [4,5,6,7,8]. Is kind of method can predict the synchronization time in advance and has better robustness, anti-interference, and better control effect. It has important research significance in theory and practice. As far as we know, very few scholars have discussed finite-time passivity of stochastic complex networks in recent years. Motivated by the above discussions, we will investigate finite-time passivity of stochastic coupled complex networks (SCCNs). We establish the relationship between finite-time passivity and finite-time synchronization in the sense of expectation
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