Abstract
This paper is concerned with the global fixed-time synchronization issue for semi-Markovian jumping neural networks with time-varying delays. A novel state-feedback controller, which includes integral terms and time-varying delay terms, is designed to realize the fixed-time synchronization goal between the drive system and the response system. By applying the Lyapunov functional approach and matrix inequality analysis technique, the fixed-time synchronization conditions are addressed in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to illustrate the feasibility of the proposed control scheme and the validity of theoretical results.
Highlights
In the past decades, the neural networks (NNs) have been found extensive applications in many areas, such as pattern recognition, computer vision, speech synthesis, artificial intelligence and so on; see [1,2,3]
Considerable attention has been devoted to the analysis of the synchronization of NNs and some effective synchronization criteria of NNs have been established in the literature [10,11,12,13,14,15]
It should be pointed out that most of these synchronization criteria are based on the Lyapunov stability theory, which is defined over an infinite-time interval
Summary
The neural networks (NNs) have been found extensive applications in many areas, such as pattern recognition, computer vision, speech synthesis, artificial intelligence and so on; see [1,2,3]. By utilizing the discontinuous controllers, the finite-time synchronization issue for the coupled neural networks was addressed in [17]. By designing a sliding mode controller, the fixed-time synchronization issue for complex dynamical networks was addressed in [21].
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