Abstract
This paper addresses finite-time projective synchronization of stochastic complex-valued neural networks (SCVNNs) with probabilistic time-varying delays (PTVs). First, in the complex domain, PTVs are introduced into the studied model and a novel feedback control scheme is constructed. Next, based on inequalities techniques and the Lyapunov stability approach, some novel projective synchronization criteria are established by decomposing SCVNNs into two equivalent real-valued systems. Moreover, a setting time function is created by employing lemma 4. Compared with previous researches, our theory content is an extension and complement to known results. Finally, numerical simulation is presented to validate the effectiveness of theoretical analysis results.
Highlights
I n recent decades, the dynamic behaviors study of nonlinear systems have attracted the attention of many researchers [1]–[3]
Enlightened by the above discussions, the main mission of this study is to explore the problem of FET projective synchronization of stochastic complex-valued neural networks (SCVNNs) with probabilistic time-varying delays (PTVs)
For the purpose of achieving FET projective synchronization of SCVNNs with PTVs, we propose the following feedback controller
Summary
I n recent decades, the dynamic behaviors study of nonlinear systems have attracted the attention of many researchers [1]–[3]. In [19], the authors firstly studied the problem of fixed-time projective synchronization of memristive NNs via a simple controller, and the application of some lemmas greatly simplified the proof process. It should be noticed that most practical applications of NNs are associated with complex signals, which cannot be solved by real-valued neural networks (RVNNs). In [38], considering multiple delays, the complex projection synchronization criteria of CVNNs were derived by separating CVNNs and applying comparison principle of the fractional order systems. Enlightened by the above discussions, the main mission of this study is to explore the problem of FET projective synchronization of SCVNNs with PTVs. The main contents and highlights of this article are listed as follows. In Section, to assure FET projective synchronization of the SCVNNs, novel criteria are proposed via the new feedback controller.
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